---
_id: '4492'
abstract:
- lang: eng
  text: Hybrid automata model systems with both digital and analog components, such
    as embedded control programs. Many verification tasks for such programs can be
    expressed as reachability problems for hybrid automata. By improving on previous
    decidability and undecidability results, we identify a boundary between decidability
    and undecidability for the reachability problem of hybrid automata. On the positive
    side, we give an (optimal) PSPACE reachability algorithm for the case of initialized
    rectangular automata, where all analog variables follow independent trajectories
    within piecewise-linear envelopes and are reinitialized whenever the envelope
    changes. Our algorithm is based on the construction of a timed automaton that
    contains all reachability information about a given initialized rectangular automaton.
    The translation has practical significance for verification, because it guarantees
    the termination of symbolic procedures for the reachability analysis of initialized
    rectangular automata. The translation also preserves theω-languages of initialized
    rectangular automata with bounded nondeterminism. On the negative side, we show
    that several slight generalizations of initialized rectangular automata lead to
    an undecidable reachability problem. In particular, we prove that the reachability
    problem is undecidable for timed automata augmented with a single stopwatch.
acknowledgement: This research was supported in part by the Office of Naval Research
  Young Investigator Award N00014-95-1-0520, by the National Science Foundation CAREER
  award CCR-9501708, by the National Science Foundation Grant CCR-9504469, by the
  Air Force Office of Scientific Research Contract F49620-93-1-0056, by the Army Research
  Office MURI Grant DAAH-04-96-1-0341, by the Army Research Office Contract DAAH-04-94-G-0026,
  by the Defense Advanced Research Projects Agency Grant NAG2-892, and by the California
  PATH program.
article_processing_charge: No
article_type: original
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Peter
  full_name: Kopke, Peter
  last_name: Kopke
- first_name: Anuj
  full_name: Puri, Anuj
  last_name: Puri
- first_name: P.
  full_name: Varaiya, P.
  last_name: Varaiya
citation:
  ama: Henzinger TA, Kopke P, Puri A, Varaiya P. What’s decidable about hybrid automata?
    <i>Journal of Computer and System Sciences</i>. 1998;57(1):94-124. doi:<a href="https://doi.org/10.1006/jcss.1998.1581">10.1006/jcss.1998.1581</a>
  apa: Henzinger, T. A., Kopke, P., Puri, A., &#38; Varaiya, P. (1998). What’s decidable
    about hybrid automata? <i>Journal of Computer and System Sciences</i>. Elsevier.
    <a href="https://doi.org/10.1006/jcss.1998.1581">https://doi.org/10.1006/jcss.1998.1581</a>
  chicago: Henzinger, Thomas A, Peter Kopke, Anuj Puri, and P. Varaiya. “What’s Decidable
    about Hybrid Automata?” <i>Journal of Computer and System Sciences</i>. Elsevier,
    1998. <a href="https://doi.org/10.1006/jcss.1998.1581">https://doi.org/10.1006/jcss.1998.1581</a>.
  ieee: T. A. Henzinger, P. Kopke, A. Puri, and P. Varaiya, “What’s decidable about
    hybrid automata?,” <i>Journal of Computer and System Sciences</i>, vol. 57, no.
    1. Elsevier, pp. 94–124, 1998.
  ista: Henzinger TA, Kopke P, Puri A, Varaiya P. 1998. What’s decidable about hybrid
    automata? Journal of Computer and System Sciences. 57(1), 94–124.
  mla: Henzinger, Thomas A., et al. “What’s Decidable about Hybrid Automata?” <i>Journal
    of Computer and System Sciences</i>, vol. 57, no. 1, Elsevier, 1998, pp. 94–124,
    doi:<a href="https://doi.org/10.1006/jcss.1998.1581">10.1006/jcss.1998.1581</a>.
  short: T.A. Henzinger, P. Kopke, A. Puri, P. Varaiya, Journal of Computer and System
    Sciences 57 (1998) 94–124.
date_created: 2018-12-11T12:09:08Z
date_published: 1998-01-01T00:00:00Z
date_updated: 2022-08-23T14:29:15Z
day: '01'
doi: 10.1006/jcss.1998.1581
extern: '1'
intvolume: '        57'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/S0022000098915811
month: '01'
oa: 1
oa_version: Published Version
page: 94 - 124
publication: Journal of Computer and System Sciences
publication_identifier:
  isbn:
  - 0022-0000
publication_status: published
publisher: Elsevier
publist_id: '237'
quality_controlled: '1'
status: public
title: What's decidable about hybrid automata?
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 57
year: '1998'
...
---
_id: '4515'
abstract:
- lang: eng
  text: We summarize and reorganize some of the last decade's research on real-time
    extensions of temporal logic. Our main focus is on tableau constructions for model
    checking linear temporal formulas with timing constraints. In particular, we find
    that a great deal of real-time verification can be performed in polynomial space,
    but also that considerable care must be exercised in order to keep the real-time
    verification problem in polynomial space, or even decidable.
acknowledgement: This research was supported in part by the Office of Naval Research
  Young Investigator award N00014-95-1-0520, by the National Science Foundation CAREER
  award CCR-9501708, by the National Science Foundation grant CCR-9504469, by the
  Defense Advanced Research Projects Agency grant NAG2-1214, by the Army Research
  Office MURI grant DAAH-04-96-1-0341, and by the Semiconductor Research Corporation
  contract 97-DC-324.041.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Henzinger TA. It’s about time: Real-time logics reviewed. In: <i>Proceedings
    of the 9th Interantional Conference on Concurrency Theory</i>. Vol 1466. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 1998:439-454. doi:<a href="https://doi.org/10.1007/BFb0055640">10.1007/BFb0055640</a>'
  apa: 'Henzinger, T. A. (1998). It’s about time: Real-time logics reviewed. In <i>Proceedings
    of the 9th Interantional Conference on Concurrency Theory</i> (Vol. 1466, pp.
    439–454). Nice, France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a
    href="https://doi.org/10.1007/BFb0055640">https://doi.org/10.1007/BFb0055640</a>'
  chicago: 'Henzinger, Thomas A. “It’s about Time: Real-Time Logics Reviewed.” In
    <i>Proceedings of the 9th Interantional Conference on Concurrency Theory</i>,
    1466:439–54. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 1998. <a href="https://doi.org/10.1007/BFb0055640">https://doi.org/10.1007/BFb0055640</a>.'
  ieee: 'T. A. Henzinger, “It’s about time: Real-time logics reviewed,” in <i>Proceedings
    of the 9th Interantional Conference on Concurrency Theory</i>, Nice, France, 1998,
    vol. 1466, pp. 439–454.'
  ista: 'Henzinger TA. 1998. It’s about time: Real-time logics reviewed. Proceedings
    of the 9th Interantional Conference on Concurrency Theory. CONCUR: Concurrency
    Theory, LNCS, vol. 1466, 439–454.'
  mla: 'Henzinger, Thomas A. “It’s about Time: Real-Time Logics Reviewed.” <i>Proceedings
    of the 9th Interantional Conference on Concurrency Theory</i>, vol. 1466, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 1998, pp. 439–54, doi:<a href="https://doi.org/10.1007/BFb0055640">10.1007/BFb0055640</a>.'
  short: T.A. Henzinger, in:, Proceedings of the 9th Interantional Conference on Concurrency
    Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 1998, pp. 439–454.
conference:
  end_date: 1998-09-11
  location: Nice, France
  name: 'CONCUR: Concurrency Theory'
  start_date: 1998-09-08
date_created: 2018-12-11T12:09:15Z
date_published: 1998-01-01T00:00:00Z
date_updated: 2022-08-23T14:24:08Z
day: '01'
doi: 10.1007/BFb0055640
extern: '1'
intvolume: '      1466'
language:
- iso: eng
month: '01'
oa_version: None
page: 439 - 454
publication: Proceedings of the 9th Interantional Conference on Concurrency Theory
publication_identifier:
  isbn:
  - 978-3-540-64896-3
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '214'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'It''s about time: Real-time logics reviewed'
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 1466
year: '1998'
...
---
_id: '4603'
abstract:
- lang: eng
  text: Alternating transition systems are a general model for composite systems which
    allow the study of collaborative as well as adversarial relationships between
    individual system components. Unlike in labeled transition systems, where each
    transition corresponds to a possible step of the system (which may involve some
    or all components), in alternating transition systems, each transition corresponds
    to a possible move in a game between the components. In this paper, we study refinement
    relations between alternating transition systems, such as “Does the implementation
    refine the set A of specification components without constraining the components
    not in A?” In particular, we generalize the definitions of the simulation and
    trace containment preorders from labeled transition systems to alternating transition
    systems. The generalizations are called alternating simulation and alternating
    trace containment. Unlike existing refinement relations, they allow the refinement
    of individual components within the context of a composite system description.
    We show that, like ordinary simulation, alternating simulation can be checked
    in polynomial time using a fixpoint computation algorithm. While ordinary trace
    containment is PSPACE-complete, we establish alternating trace containment to
    be EXPTIME-complete. Finally, we present logical characterizations for the two
    preorders in terms of ATL, a temporal logic capable of referring to games between
    system components.
acknowledgement: This work is supported in part by the ONR YIP award N00014-95-1-0520,
  by the NSF CAREER award CCR-9501708, by the NSF grants CCR-9504469, CCR-9628400,
  and CCR-9700061, by the DARPA/NASA grant NAG2-1214, by the ARO MURI grant DAAH-04-96-1-0341,
  by the SRC contract 97-DC-324.041, and by a grant from the Intel Corporation.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Rajeev
  full_name: Alur, Rajeev
  last_name: Alur
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Orna
  full_name: Kupferman, Orna
  last_name: Kupferman
- first_name: Moshe
  full_name: Vardi, Moshe
  last_name: Vardi
citation:
  ama: 'Alur R, Henzinger TA, Kupferman O, Vardi M. Alternating refinement relations.
    In: <i>Proceedings of the 9th Interantional Conference on Concurrency Theory</i>.
    Vol 1466. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 1998:163-178. doi:<a
    href="https://doi.org/10.1007/BFb0055622">10.1007/BFb0055622</a>'
  apa: 'Alur, R., Henzinger, T. A., Kupferman, O., &#38; Vardi, M. (1998). Alternating
    refinement relations. In <i>Proceedings of the 9th Interantional Conference on
    Concurrency Theory</i> (Vol. 1466, pp. 163–178). Nice, France: Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.1007/BFb0055622">https://doi.org/10.1007/BFb0055622</a>'
  chicago: Alur, Rajeev, Thomas A Henzinger, Orna Kupferman, and Moshe Vardi. “Alternating
    Refinement Relations.” In <i>Proceedings of the 9th Interantional Conference on
    Concurrency Theory</i>, 1466:163–78. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    1998. <a href="https://doi.org/10.1007/BFb0055622">https://doi.org/10.1007/BFb0055622</a>.
  ieee: R. Alur, T. A. Henzinger, O. Kupferman, and M. Vardi, “Alternating refinement
    relations,” in <i>Proceedings of the 9th Interantional Conference on Concurrency
    Theory</i>, Nice, France, 1998, vol. 1466, pp. 163–178.
  ista: 'Alur R, Henzinger TA, Kupferman O, Vardi M. 1998. Alternating refinement
    relations. Proceedings of the 9th Interantional Conference on Concurrency Theory.
    CONCUR: Concurrency Theory, LNCS, vol. 1466, 163–178.'
  mla: Alur, Rajeev, et al. “Alternating Refinement Relations.” <i>Proceedings of
    the 9th Interantional Conference on Concurrency Theory</i>, vol. 1466, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 1998, pp. 163–78, doi:<a href="https://doi.org/10.1007/BFb0055622">10.1007/BFb0055622</a>.
  short: R. Alur, T.A. Henzinger, O. Kupferman, M. Vardi, in:, Proceedings of the
    9th Interantional Conference on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 1998, pp. 163–178.
conference:
  end_date: 1998-09-11
  location: Nice, France
  name: 'CONCUR: Concurrency Theory'
  start_date: 1998-09-08
date_created: 2018-12-11T12:09:42Z
date_published: 1998-01-01T00:00:00Z
date_updated: 2022-08-23T09:50:34Z
day: '01'
doi: 10.1007/BFb0055622
extern: '1'
intvolume: '      1466'
language:
- iso: eng
month: '01'
oa_version: None
page: 163 - 178
publication: Proceedings of the 9th Interantional Conference on Concurrency Theory
publication_identifier:
  isbn:
  - 978-3-540-64896-3
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '104'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Alternating refinement relations
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 1466
year: '1998'
...
---
_id: '4604'
acknowledgement: This research was supported in part by the ONR YIP award N00014-95-1-0520,
  by the NSF CAREER award CCR-9501708, by the NSF grant CCR-9504469, by the ARO MURI
  grant DAAH-04-96-1-0341, and by the SRC contract 97-DC-324.041.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Rajeev
  full_name: Alur, Rajeev
  last_name: Alur
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Freddy
  full_name: Mang, Freddy
  last_name: Mang
- first_name: Shaz
  full_name: Qadeer, Shaz
  last_name: Qadeer
- first_name: Sriram
  full_name: Rajamani, Sriram
  last_name: Rajamani
- first_name: Serdar
  full_name: Tasiran, Serdar
  last_name: Tasiran
citation:
  ama: 'Alur R, Henzinger TA, Mang F, Qadeer S, Rajamani S, Tasiran S. Mocha: Modularity
    in model checking. In: <i>Proceedings of the 10th International Conference on
    Computer Aided Verification</i>. Vol 1427. Springer; 1998:521-525. doi:<a href="https://doi.org/10.1007/BFb0028774">10.1007/BFb0028774</a>'
  apa: 'Alur, R., Henzinger, T. A., Mang, F., Qadeer, S., Rajamani, S., &#38; Tasiran,
    S. (1998). Mocha: Modularity in model checking. In <i>Proceedings of the 10th
    International Conference on Computer Aided Verification</i> (Vol. 1427, pp. 521–525).
    Vancouver, Canada: Springer. <a href="https://doi.org/10.1007/BFb0028774">https://doi.org/10.1007/BFb0028774</a>'
  chicago: 'Alur, Rajeev, Thomas A Henzinger, Freddy Mang, Shaz Qadeer, Sriram Rajamani,
    and Serdar Tasiran. “Mocha: Modularity in Model Checking.” In <i>Proceedings of
    the 10th International Conference on Computer Aided Verification</i>, 1427:521–25.
    Springer, 1998. <a href="https://doi.org/10.1007/BFb0028774">https://doi.org/10.1007/BFb0028774</a>.'
  ieee: 'R. Alur, T. A. Henzinger, F. Mang, S. Qadeer, S. Rajamani, and S. Tasiran,
    “Mocha: Modularity in model checking,” in <i>Proceedings of the 10th International
    Conference on Computer Aided Verification</i>, Vancouver, Canada, 1998, vol. 1427,
    pp. 521–525.'
  ista: 'Alur R, Henzinger TA, Mang F, Qadeer S, Rajamani S, Tasiran S. 1998. Mocha:
    Modularity in model checking. Proceedings of the 10th International Conference
    on Computer Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 1427,
    521–525.'
  mla: 'Alur, Rajeev, et al. “Mocha: Modularity in Model Checking.” <i>Proceedings
    of the 10th International Conference on Computer Aided Verification</i>, vol.
    1427, Springer, 1998, pp. 521–25, doi:<a href="https://doi.org/10.1007/BFb0028774">10.1007/BFb0028774</a>.'
  short: R. Alur, T.A. Henzinger, F. Mang, S. Qadeer, S. Rajamani, S. Tasiran, in:,
    Proceedings of the 10th International Conference on Computer Aided Verification,
    Springer, 1998, pp. 521–525.
conference:
  end_date: 1998-07-02
  location: Vancouver, Canada
  name: 'CAV: Computer Aided Verification'
  start_date: 1998-06-28
date_created: 2018-12-11T12:09:42Z
date_published: 1998-01-01T00:00:00Z
date_updated: 2022-08-23T09:06:21Z
day: '01'
doi: 10.1007/BFb0028774
extern: '1'
intvolume: '      1427'
language:
- iso: eng
month: '01'
oa_version: None
page: 521 - 525
publication: Proceedings of the 10th International Conference on Computer Aided Verification
publication_identifier:
  isbn:
  - '9783540646082'
publication_status: published
publisher: Springer
publist_id: '103'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Mocha: Modularity in model checking'
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 1427
year: '1998'
...
---
_id: '4606'
abstract:
- lang: eng
  text: "In formal design verification, successful model checking is typically preceded
    by a laborious manual process of constructing design abstractions. We present
    a methodology for partially—and in some cases, fully—bypassing the abstraction
    process. For this purpose, we provide to the designer abstraction operators which,
    if used judiciously in the description of a design, structure the corresponding
    state space hierarchically. This structure can then be exploited by verification
    tools, and makes possible the automatic and exhaustive exploration of state spaces
    that would otherwise be out of scope for existing model checkers.\r\nSpecifically,
    we present the following contributions:\r\n- \t A temporal abstraction operator
    that aggregates transitions and hides intermediate steps. Mathematically, our
    abstraction operator is a function that maps a flat transition system into a two-level
    hierarchy where each atomic upper-level transition expands into an entire lower-level
    transition system. For example, an arithmetic operation may expand into a sequence
    of bit operations.\r\n- \t A BDD-based algorithm for the symbolic exploration
    of multi-level hierarchies of transition systems. The algorithm traverses a level-n
    transition by expanding the corresponding level-(n − 1) transition system on-the-fly.
    The level-n successors of a state are determined by computing a level-(n − 1)
    reach set, which is then immediately released from memory. In this fashion, we
    can exhaustively explore hierarchically structured state spaces whose flat counterparts
    cause memory overflows.\r\n- \t We experimentally demonstrate the efficiency of
    our method with three examples—a multiplier, a cache coherence protocol, and a
    multiprocessor system. In the first two examples, we obtain significant improvements
    in run times and peak BDD sizes over traditional state-space search. The third
    example cannot be model checked at all using conventional methods (without manual
    abstractions), but can be analyzed fully automatically using transition hierarchies."
acknowledgement: "This research was supported in part by the Office of Naval Research
  Young Investigator award N00014-95-1-0520, by the National Science Foundation CAREER
  award CCR-9501708, by the National Science Foundation grant CCR-9504469, by the
  Air Force Office of Scientific Research contract F49620-93-1-0056, by the Army Research
  Office MURI grant DAAH-04-96-1-0341, by the Advanced Research Projects Agency grant
  NAG2-892, and by the Semiconductor Research Corporation contract 95-DC-324.036.\r\n"
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Rajeev
  full_name: Alur, Rajeev
  last_name: Alur
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Sriram
  full_name: Rajamani, Sriram
  last_name: Rajamani
citation:
  ama: 'Alur R, Henzinger TA, Rajamani S. Symbolic exploration of transition hierarchies.
    In: <i>Proceedings of the 4th International Conference on Tools and Algorithms
    for the Construction and Analysis of Systems</i>. Vol 1384. Springer; 1998:330-344.
    doi:<a href="https://doi.org/10.1007/BFb0054181">10.1007/BFb0054181</a>'
  apa: 'Alur, R., Henzinger, T. A., &#38; Rajamani, S. (1998). Symbolic exploration
    of transition hierarchies. In <i>Proceedings of the 4th International Conference
    on Tools and Algorithms for the Construction and Analysis of Systems</i> (Vol.
    1384, pp. 330–344). Lisbon, Portugal: Springer. <a href="https://doi.org/10.1007/BFb0054181">https://doi.org/10.1007/BFb0054181</a>'
  chicago: Alur, Rajeev, Thomas A Henzinger, and Sriram Rajamani. “Symbolic Exploration
    of Transition Hierarchies.” In <i>Proceedings of the 4th International Conference
    on Tools and Algorithms for the Construction and Analysis of Systems</i>, 1384:330–44.
    Springer, 1998. <a href="https://doi.org/10.1007/BFb0054181">https://doi.org/10.1007/BFb0054181</a>.
  ieee: R. Alur, T. A. Henzinger, and S. Rajamani, “Symbolic exploration of transition
    hierarchies,” in <i>Proceedings of the 4th International Conference on Tools and
    Algorithms for the Construction and Analysis of Systems</i>, Lisbon, Portugal,
    1998, vol. 1384, pp. 330–344.
  ista: 'Alur R, Henzinger TA, Rajamani S. 1998. Symbolic exploration of transition
    hierarchies. Proceedings of the 4th International Conference on Tools and Algorithms
    for the Construction and Analysis of Systems. TACAS: Tools and Algorithms for
    the Construction and Analysis of Systems, LNCS, vol. 1384, 330–344.'
  mla: Alur, Rajeev, et al. “Symbolic Exploration of Transition Hierarchies.” <i>Proceedings
    of the 4th International Conference on Tools and Algorithms for the Construction
    and Analysis of Systems</i>, vol. 1384, Springer, 1998, pp. 330–44, doi:<a href="https://doi.org/10.1007/BFb0054181">10.1007/BFb0054181</a>.
  short: R. Alur, T.A. Henzinger, S. Rajamani, in:, Proceedings of the 4th International
    Conference on Tools and Algorithms for the Construction and Analysis of Systems,
    Springer, 1998, pp. 330–344.
conference:
  end_date: 1998-04-04
  location: Lisbon, Portugal
  name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
  start_date: 1998-03-28
date_created: 2018-12-11T12:09:43Z
date_published: 1998-01-01T00:00:00Z
date_updated: 2022-08-23T08:44:36Z
day: '01'
doi: 10.1007/BFb0054181
extern: '1'
intvolume: '      1384'
language:
- iso: eng
month: '01'
oa_version: None
page: 330 - 344
publication: Proceedings of the 4th International Conference on Tools and Algorithms
  for the Construction and Analysis of Systems
publication_identifier:
  isbn:
  - '9783540643562'
publication_status: published
publisher: Springer
publist_id: '102'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symbolic exploration of transition hierarchies
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 1384
year: '1998'
...
---
_id: '4639'
abstract:
- lang: eng
  text: 'An open system can be modeled as a two-player game between the system and
    its environment. At each round of the game, player 1 (the system) and player 2
    (the environment) independently and simultaneously choose moves, and the two choices
    determine the next state of the game. Properties of open systems can be modeled
    as objectives of these two-player games. For the basic objective of reachability-can
    player 1 force the game to a given set of target states?-there are three types
    of winning states, according to the degree of certainty with which player 1 can
    reach the target. From type-1 states, player 1 has a deterministic strategy to
    always reach the target. From type-2 states, player 1 has a randomized strategy
    to reach the target with probability 1. From type-3 states, player 1 has for every
    real ε&gt;0 a randomized strategy to reach the target with probability greater
    than 1-ε. We show that for finite state spaces, all three sets of winning states
    can be computed in polynomial time: type-1 states in linear time, and type-2 and
    type-3 states in quadratic time. The algorithms to compute the three sets of winning
    states also enable the construction of the winning and spoiling strategies. Finally,
    we apply our results by introducing a temporal logic in which all three kinds
    of winning conditions can be specified, and which can be model checked in polynomial
    time. This logic, called Randomized ATL, is suitable for reasoning about randomized
    behavior in open (two-agent) as well as multi-agent systems'
article_processing_charge: No
author:
- first_name: Luca
  full_name: De Alfaro, Luca
  last_name: De Alfaro
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Orna
  full_name: Kupferman, Orna
  last_name: Kupferman
citation:
  ama: 'De Alfaro L, Henzinger TA, Kupferman O. Concurrent reachability games. In:
    <i> Proceedings 39th Annual Symposium on Foundations of Computer Science</i>.
    IEEE; 1998:564-575. doi:<a href="https://doi.org/10.1109/SFCS.1998.743507  ">10.1109/SFCS.1998.743507 
    </a>'
  apa: 'De Alfaro, L., Henzinger, T. A., &#38; Kupferman, O. (1998). Concurrent reachability
    games. In <i> Proceedings 39th Annual Symposium on Foundations of Computer Science</i>
    (pp. 564–575). Palo Alto, CA, United States of America: IEEE. <a href="https://doi.org/10.1109/SFCS.1998.743507 
    ">https://doi.org/10.1109/SFCS.1998.743507  </a>'
  chicago: De Alfaro, Luca, Thomas A Henzinger, and Orna Kupferman. “Concurrent Reachability
    Games.” In <i> Proceedings 39th Annual Symposium on Foundations of Computer Science</i>,
    564–75. IEEE, 1998. <a href="https://doi.org/10.1109/SFCS.1998.743507  ">https://doi.org/10.1109/SFCS.1998.743507 
    </a>.
  ieee: L. De Alfaro, T. A. Henzinger, and O. Kupferman, “Concurrent reachability
    games,” in <i> Proceedings 39th Annual Symposium on Foundations of Computer Science</i>,
    Palo Alto, CA, United States of America, 1998, pp. 564–575.
  ista: 'De Alfaro L, Henzinger TA, Kupferman O. 1998. Concurrent reachability games.  Proceedings
    39th Annual Symposium on Foundations of Computer Science. FOCS: Foundations of
    Computer Science, 564–575.'
  mla: De Alfaro, Luca, et al. “Concurrent Reachability Games.” <i> Proceedings 39th
    Annual Symposium on Foundations of Computer Science</i>, IEEE, 1998, pp. 564–75,
    doi:<a href="https://doi.org/10.1109/SFCS.1998.743507  ">10.1109/SFCS.1998.743507 
    </a>.
  short: L. De Alfaro, T.A. Henzinger, O. Kupferman, in:,  Proceedings 39th Annual
    Symposium on Foundations of Computer Science, IEEE, 1998, pp. 564–575.
conference:
  end_date: 1998-11-11
  location: Palo Alto, CA, United States of America
  name: 'FOCS: Foundations of Computer Science'
  start_date: 1998-11-08
date_created: 2018-12-11T12:09:53Z
date_published: 1998-01-01T00:00:00Z
date_updated: 2022-08-22T14:09:02Z
day: '01'
doi: '10.1109/SFCS.1998.743507  '
extern: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 564 - 575
publication: ' Proceedings 39th Annual Symposium on Foundations of Computer Science'
publication_identifier:
  isbn:
  - '0818691727'
publication_status: published
publisher: IEEE
publist_id: '68'
quality_controlled: '1'
status: public
title: Concurrent reachability games
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1998'
...
---
_id: '2583'
abstract:
- lang: eng
  text: Substance P receptor (SPR)-immunoreactive neurons projecting to the periaqueductal
    gray (PAG) were examined in the rat spinal trigeminal nucleus and spinal cord
    by a retrograde tracing method combined with immunofluorescence histochemistry.
    After injection of Fluoro-gold (FG) into the PAG, SPR-immunoreactive neurons labeled
    with FG were observed mainly in the lateral spinal nucleus and lamina I of the
    medullary and spinal dorsal horns and additionally in laminae V and X of the spinal
    cord.
acknowledgement: "The authors are grateful for the support of Dr Kajitaro Morita of
  the Morita Clinic of Internal Medicine and Pediatrics at Kadoma, Osaka and for the
  help of Yue-Ping Yuan and Akira Uesugi with photography. This work was supported
  in part by Grants-in-Aid from the National Natural Science Foundation of China (39600045)
  and the Ministry of Education, Sci-\r\nence, Sports and Culture of Japan (09480211,
  08458245)."
article_processing_charge: No
article_type: original
author:
- first_name: Jin
  full_name: Li, Jin
  last_name: Li
- first_name: Yu
  full_name: Ding, Yu
  last_name: Ding
- first_name: Kang
  full_name: Xiong, Kang
  last_name: Xiong
- first_name: Ji
  full_name: Li, Ji
  last_name: Li
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Noboru
  full_name: Mizuno, Noboru
  last_name: Mizuno
citation:
  ama: 'Li J, Ding Y, Xiong K, Li J, Shigemoto R, Mizuno N. Substance P receptor (NK1)-immunoreactive
    neurons projecting to the periaqueductal gray: Distribution in the spinal trigeminal
    nucleus and the spinal cord of the rat. <i>Neuroscience Research</i>. 1998;30(3):219-225.
    doi:<a href="https://doi.org/10.1016/S0168-0102(97)00132-6">10.1016/S0168-0102(97)00132-6</a>'
  apa: 'Li, J., Ding, Y., Xiong, K., Li, J., Shigemoto, R., &#38; Mizuno, N. (1998).
    Substance P receptor (NK1)-immunoreactive neurons projecting to the periaqueductal
    gray: Distribution in the spinal trigeminal nucleus and the spinal cord of the
    rat. <i>Neuroscience Research</i>. Elsevier. <a href="https://doi.org/10.1016/S0168-0102(97)00132-6">https://doi.org/10.1016/S0168-0102(97)00132-6</a>'
  chicago: 'Li, Jin, Yu Ding, Kang Xiong, Ji Li, Ryuichi Shigemoto, and Noboru Mizuno.
    “Substance P Receptor (NK1)-Immunoreactive Neurons Projecting to the Periaqueductal
    Gray: Distribution in the Spinal Trigeminal Nucleus and the Spinal Cord of the
    Rat.” <i>Neuroscience Research</i>. Elsevier, 1998. <a href="https://doi.org/10.1016/S0168-0102(97)00132-6">https://doi.org/10.1016/S0168-0102(97)00132-6</a>.'
  ieee: 'J. Li, Y. Ding, K. Xiong, J. Li, R. Shigemoto, and N. Mizuno, “Substance
    P receptor (NK1)-immunoreactive neurons projecting to the periaqueductal gray:
    Distribution in the spinal trigeminal nucleus and the spinal cord of the rat,”
    <i>Neuroscience Research</i>, vol. 30, no. 3. Elsevier, pp. 219–225, 1998.'
  ista: 'Li J, Ding Y, Xiong K, Li J, Shigemoto R, Mizuno N. 1998. Substance P receptor
    (NK1)-immunoreactive neurons projecting to the periaqueductal gray: Distribution
    in the spinal trigeminal nucleus and the spinal cord of the rat. Neuroscience
    Research. 30(3), 219–225.'
  mla: 'Li, Jin, et al. “Substance P Receptor (NK1)-Immunoreactive Neurons Projecting
    to the Periaqueductal Gray: Distribution in the Spinal Trigeminal Nucleus and
    the Spinal Cord of the Rat.” <i>Neuroscience Research</i>, vol. 30, no. 3, Elsevier,
    1998, pp. 219–25, doi:<a href="https://doi.org/10.1016/S0168-0102(97)00132-6">10.1016/S0168-0102(97)00132-6</a>.'
  short: J. Li, Y. Ding, K. Xiong, J. Li, R. Shigemoto, N. Mizuno, Neuroscience Research
    30 (1998) 219–225.
date_created: 2018-12-11T11:58:31Z
date_published: 1998-03-01T00:00:00Z
date_updated: 2022-09-01T12:19:44Z
day: '01'
doi: 10.1016/S0168-0102(97)00132-6
extern: '1'
external_id:
  pmid:
  - '9593332'
intvolume: '        30'
issue: '3'
language:
- iso: eng
month: '03'
oa_version: None
page: 219 - 225
pmid: 1
publication: Neuroscience Research
publication_identifier:
  issn:
  - 0168-0102
publication_status: published
publisher: Elsevier
publist_id: '4315'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Substance P receptor (NK1)-immunoreactive neurons projecting to the periaqueductal
  gray: Distribution in the spinal trigeminal nucleus and the spinal cord of the rat'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 30
year: '1998'
...
---
_id: '2584'
abstract:
- lang: eng
  text: The distributions of two alternative splicing variants of metabotropic glutamate
    receptor mGluR7, mGluR7a and mGluR7b, were examined immunohistochemically in the
    rat and mouse by using variant-specific antibodies raised against C-terminal portions
    of rat mGluR7a and human mGluR7b. Many regions throughout the central nervous
    system (CNS) showed mGluR7-like immunoreactivities (LI). The distribution patterns
    of mGluR7-LI in the rat were substantially the same as those in the mouse, although
    some species differences were observed in a few regions. Intense mGluR7a-LI was
    seen in the main and accessory olfactory bulbs, anterior olfactory nucleus, islands
    of Calleja, superficial layers of the olfactory tubercle, piriform cortex and
    entorhinal cortex, periamygdaloid cortex, amygdalohippocampal area, hippocampus,
    layer I of the neocortical regions, globus pallidus, superficial layers of the
    superior colliculus, locus coeruleus, and superficial layers of the medullary
    and spinal dorsal horns. The distribution of mGluR7b was more restricted. It was
    intense in the islands of Calleja, substantia innominata, hippocampus, ventral
    pallidum, and globus pallidus. The medial habenular nucleus also showed intense
    mGluR7a-LI in the rat but not in the mouse. For both mGluR7a- and mGluR7b-LI,
    localization in the active zones of presynaptic axon terminals was confirmed electron
    microscopically at synapses of both the asymmetrical and symmetrical types. It
    is noteworthy that mGluR7a-LI is seen preferentially in relay nuclei of the sensory
    pathways and that both mGluR7a- and mGluR7b-LI are observed not only in presumed
    glutamatergic axon terminals, but also in non-glutamatergic axon terminals including
    presumed inhibitory ones. Thus, mGluR7 may play roles not only as an autoreceptor
    in glutamatergic axon terminals, but also as a presynaptic heteroreceptor in non-glutamatergic
    axon terminals in various CNS regions.
acknowledgement: The  authors  are  grateful  for  photographic  help  of  Mr.Akira
  Uesugi, and the support of Dr. Kajitaro Morita inMorita Clinic of Internal Medicine
  and Pediatrics, Kadoma,Osaka, Japan. The authors also express gratitude for thesupport  of  Dr.  Satoru  Fukuchi,  Dr.  Ritsu  Hayashi,  Dr.Sohzaburo  Hayashi,  Dr.  Mizuho  Katsurada,  Dr.  HitoshiKawai,
  Dr. Yutaka Kitani, Dr. Toshihiko Kuroda, Dr. KeikoKumagai,  Dr.  Hiroshi  Matsubara,  Dr.  Hiroshi  Mat-sushima,  Dr.  Chisato  Minakuchi,  Dr.  Gonpei  Niwa,  Dr.Hajime
  Oda, Dr. Mashiko Ohbayashi, Dr. Sei-ichi Ohbaya-shi, Dr. Hiroyasu Ohtsuka, Dr. Shigeo
  Tamaki, Dr. EizoWatanabe, Dr. Kazuo Yoshino, and Dr. Toshiaki Yoshino.
article_processing_charge: No
article_type: original
author:
- first_name: Ayae
  full_name: Kinoshita, Ayae
  last_name: Kinoshita
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Hitoshi
  full_name: Ohishi, Hitoshi
  last_name: Ohishi
- first_name: Herman
  full_name: Van Der Putten, Herman
  last_name: Van Der Putten
- first_name: Noboru
  full_name: Mizuno, Noboru
  last_name: Mizuno
citation:
  ama: 'Kinoshita A, Shigemoto R, Ohishi H, Van Der Putten H, Mizuno N. Immunohistochemical
    localization of metabotropic glutamate receptors, mGluR7a and mGluR7b, in the
    central nervous system of the adult rat and mouse: A light and electron microscopic
    study. <i>Journal of Comparative Neurology</i>. 1998;393(3):332-352. doi:<a href="https://doi.org/10.1002/(SICI)1096-9861(19980413)393:3&#38;lt;332::AID-CNE6&#38;gt;3.0.CO;2-2">10.1002/(SICI)1096-9861(19980413)393:3&#38;lt;332::AID-CNE6&#38;gt;3.0.CO;2-2</a>'
  apa: 'Kinoshita, A., Shigemoto, R., Ohishi, H., Van Der Putten, H., &#38; Mizuno,
    N. (1998). Immunohistochemical localization of metabotropic glutamate receptors,
    mGluR7a and mGluR7b, in the central nervous system of the adult rat and mouse:
    A light and electron microscopic study. <i>Journal of Comparative Neurology</i>.
    Wiley-Blackwell. <a href="https://doi.org/10.1002/(SICI)1096-9861(19980413)393:3&#38;lt;332::AID-CNE6&#38;gt;3.0.CO;2-2">https://doi.org/10.1002/(SICI)1096-9861(19980413)393:3&#38;lt;332::AID-CNE6&#38;gt;3.0.CO;2-2</a>'
  chicago: 'Kinoshita, Ayae, Ryuichi Shigemoto, Hitoshi Ohishi, Herman Van Der Putten,
    and Noboru Mizuno. “Immunohistochemical Localization of Metabotropic Glutamate
    Receptors, MGluR7a and MGluR7b, in the Central Nervous System of the Adult Rat
    and Mouse: A Light and Electron Microscopic Study.” <i>Journal of Comparative
    Neurology</i>. Wiley-Blackwell, 1998. <a href="https://doi.org/10.1002/(SICI)1096-9861(19980413)393:3&#38;lt;332::AID-CNE6&#38;gt;3.0.CO;2-2">https://doi.org/10.1002/(SICI)1096-9861(19980413)393:3&#38;lt;332::AID-CNE6&#38;gt;3.0.CO;2-2</a>.'
  ieee: 'A. Kinoshita, R. Shigemoto, H. Ohishi, H. Van Der Putten, and N. Mizuno,
    “Immunohistochemical localization of metabotropic glutamate receptors, mGluR7a
    and mGluR7b, in the central nervous system of the adult rat and mouse: A light
    and electron microscopic study,” <i>Journal of Comparative Neurology</i>, vol.
    393, no. 3. Wiley-Blackwell, pp. 332–352, 1998.'
  ista: 'Kinoshita A, Shigemoto R, Ohishi H, Van Der Putten H, Mizuno N. 1998. Immunohistochemical
    localization of metabotropic glutamate receptors, mGluR7a and mGluR7b, in the
    central nervous system of the adult rat and mouse: A light and electron microscopic
    study. Journal of Comparative Neurology. 393(3), 332–352.'
  mla: 'Kinoshita, Ayae, et al. “Immunohistochemical Localization of Metabotropic
    Glutamate Receptors, MGluR7a and MGluR7b, in the Central Nervous System of the
    Adult Rat and Mouse: A Light and Electron Microscopic Study.” <i>Journal of Comparative
    Neurology</i>, vol. 393, no. 3, Wiley-Blackwell, 1998, pp. 332–52, doi:<a href="https://doi.org/10.1002/(SICI)1096-9861(19980413)393:3&#38;lt;332::AID-CNE6&#38;gt;3.0.CO;2-2">10.1002/(SICI)1096-9861(19980413)393:3&#38;lt;332::AID-CNE6&#38;gt;3.0.CO;2-2</a>.'
  short: A. Kinoshita, R. Shigemoto, H. Ohishi, H. Van Der Putten, N. Mizuno, Journal
    of Comparative Neurology 393 (1998) 332–352.
date_created: 2018-12-11T11:58:31Z
date_published: 1998-03-13T00:00:00Z
date_updated: 2022-09-01T12:11:04Z
day: '13'
doi: 10.1002/(SICI)1096-9861(19980413)393:3&lt;332::AID-CNE6&gt;3.0.CO;2-2
extern: '1'
external_id:
  pmid:
  - '9548554'
intvolume: '       393'
issue: '3'
language:
- iso: eng
month: '03'
oa_version: None
page: 332 - 352
pmid: 1
publication: Journal of Comparative Neurology
publication_identifier:
  issn:
  - 0021-9967
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4314'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Immunohistochemical localization of metabotropic glutamate receptors, mGluR7a
  and mGluR7b, in the central nervous system of the adult rat and mouse: A light and
  electron microscopic study'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 393
year: '1998'
...
---
_id: '2585'
abstract:
- lang: eng
  text: Localization of metabetropic glutamate receptor subtypes, mGluR1, mGluRlu,
    mGluR2/3, mGluR4a, mGluR5, mGluR7a, mGluR7b, and mGluR8, was examined in some
    of the target areas of projection fibers from the main and accessory olfactory
    bulbs (MOB and AOB) by using subtype-specific antibodies. The superficial layer
    of the olfactory tubercle and layer Ia of the pitiform cortex, the target areas
    of MOB, showed marked mGluR1-, mGluR5-, mGluR7a-, and mGluR8-like immunoreactivities
    (-LI), and rather weak mGluR2/3-LI. The periamygdaloid cortical region including
    the target areas of both MOB and AOB showed intense mGluR2/3-LI as well as marked
    mGluRl-, mGluR5-, mGluR7a-, and mGluRS-LI. No significant mGluR1a-, mGluR4a-,
    or mGluR7b-LI was seen in these regions. After transection of the lateral olfactory
    tract, mGluR2/3-, mGluR7a-, and mGluR8-LI were reduced markedly in the target
    regions on the side ipsilateral to the transection; no significant changes were
    detected in mGluR1- or mGIuR5-LI. Double labeling experiments indicated light
    and electron microscopically colocalization of mGluR7a- and mGluRS-LI in axon
    terminals on dendritic shafts of presumed interneurons in the superficial layer
    of the olfactory tubercle and layer Ia of the piriform cortex. Electron microscopically
    mGluR2/3-LI was seen in preterminal and terminal portions of axons, whereas mGluR7a-
    and mGluRS-LI were associated with presynaptic membrane specialization. Immunolabeled
    axon terminals were filled with round synaptic vesicles and constituted asymmetric
    synapses with dendritic profiles. The results suggest that glutamate release from
    axon terminals of projection fibers from MOB and AOB is regulated presynaptically
    and differentially through mGluR2/3, mGluR7a, and/or mGluRS.
acknowledgement: The  authors  are  grateful  for  photographic  help  of  Mr.Akira
  Uesugi. The authors also express their gratitudesfor the support of Dr. Satoru Fukuchi,
  Dr. Ritsu Hayashi,Dr. Sohzaburo Hayashi, Dr. Mizuho Katsurada, Dr. Hitoshi Kawai,
  Dr. Yutaka Kitani, Dr. Toshihiko Kuroda, Dr.Keiko Kumagai, Dr. Hiroshi Matsubara,
  Dr. Hiroshi Matsushima,  Dr. Chisato  Minakuchi,  Dr. Gonpei Niwa,  Dr.Hajime Oda,
  Dr. Mashiko Ohbayashi, Dr. Seiichi Ohbayashi, Dr. Hiroyasu Ohtsuka, Dr. Shigeo Tamaki,
  Dr. EizoWatanabe, Dr. Kazuo Yoshino, and Dr. Toshiaki Yoshino.
article_processing_charge: No
article_type: original
author:
- first_name: Eiki
  full_name: Wada, Eiki
  last_name: Wada
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Ayae
  full_name: Kinoshita, Ayae
  last_name: Kinoshita
- first_name: Hitoshi
  full_name: Ohishi, Hitoshi
  last_name: Ohishi
- first_name: Noboru
  full_name: Mizuno, Noboru
  last_name: Mizuno
citation:
  ama: 'Wada E, Shigemoto R, Kinoshita A, Ohishi H, Mizuno N. Metabotropic glutamate
    receptor subtypes in axon terminals of projection fibers from the main and accessory
    olfactory bulbs: A light and electron microscopic immunohistochemical study in
    the rat. <i>Journal of Comparative Neurology</i>. 1998;393(4):493-504. doi:<a
    href="https://doi.org/10.1002/(SICI)1096-9861(19980420)393:4&#38;lt;493::AID-CNE8&#38;gt;3.0.CO;2-W">10.1002/(SICI)1096-9861(19980420)393:4&#38;lt;493::AID-CNE8&#38;gt;3.0.CO;2-W</a>'
  apa: 'Wada, E., Shigemoto, R., Kinoshita, A., Ohishi, H., &#38; Mizuno, N. (1998).
    Metabotropic glutamate receptor subtypes in axon terminals of projection fibers
    from the main and accessory olfactory bulbs: A light and electron microscopic
    immunohistochemical study in the rat. <i>Journal of Comparative Neurology</i>.
    Wiley-Blackwell. <a href="https://doi.org/10.1002/(SICI)1096-9861(19980420)393:4&#38;lt;493::AID-CNE8&#38;gt;3.0.CO;2-W">https://doi.org/10.1002/(SICI)1096-9861(19980420)393:4&#38;lt;493::AID-CNE8&#38;gt;3.0.CO;2-W</a>'
  chicago: 'Wada, Eiki, Ryuichi Shigemoto, Ayae Kinoshita, Hitoshi Ohishi, and Noboru
    Mizuno. “Metabotropic Glutamate Receptor Subtypes in Axon Terminals of Projection
    Fibers from the Main and Accessory Olfactory Bulbs: A Light and Electron Microscopic
    Immunohistochemical Study in the Rat.” <i>Journal of Comparative Neurology</i>.
    Wiley-Blackwell, 1998. <a href="https://doi.org/10.1002/(SICI)1096-9861(19980420)393:4&#38;lt;493::AID-CNE8&#38;gt;3.0.CO;2-W">https://doi.org/10.1002/(SICI)1096-9861(19980420)393:4&#38;lt;493::AID-CNE8&#38;gt;3.0.CO;2-W</a>.'
  ieee: 'E. Wada, R. Shigemoto, A. Kinoshita, H. Ohishi, and N. Mizuno, “Metabotropic
    glutamate receptor subtypes in axon terminals of projection fibers from the main
    and accessory olfactory bulbs: A light and electron microscopic immunohistochemical
    study in the rat,” <i>Journal of Comparative Neurology</i>, vol. 393, no. 4. Wiley-Blackwell,
    pp. 493–504, 1998.'
  ista: 'Wada E, Shigemoto R, Kinoshita A, Ohishi H, Mizuno N. 1998. Metabotropic
    glutamate receptor subtypes in axon terminals of projection fibers from the main
    and accessory olfactory bulbs: A light and electron microscopic immunohistochemical
    study in the rat. Journal of Comparative Neurology. 393(4), 493–504.'
  mla: 'Wada, Eiki, et al. “Metabotropic Glutamate Receptor Subtypes in Axon Terminals
    of Projection Fibers from the Main and Accessory Olfactory Bulbs: A Light and
    Electron Microscopic Immunohistochemical Study in the Rat.” <i>Journal of Comparative
    Neurology</i>, vol. 393, no. 4, Wiley-Blackwell, 1998, pp. 493–504, doi:<a href="https://doi.org/10.1002/(SICI)1096-9861(19980420)393:4&#38;lt;493::AID-CNE8&#38;gt;3.0.CO;2-W">10.1002/(SICI)1096-9861(19980420)393:4&#38;lt;493::AID-CNE8&#38;gt;3.0.CO;2-W</a>.'
  short: E. Wada, R. Shigemoto, A. Kinoshita, H. Ohishi, N. Mizuno, Journal of Comparative
    Neurology 393 (1998) 493–504.
date_created: 2018-12-11T11:58:31Z
date_published: 1998-04-20T00:00:00Z
date_updated: 2022-08-31T14:53:58Z
day: '20'
doi: 10.1002/(SICI)1096-9861(19980420)393:4&lt;493::AID-CNE8&gt;3.0.CO;2-W
extern: '1'
external_id:
  pmid:
  - '9550154'
intvolume: '       393'
issue: '4'
language:
- iso: eng
month: '04'
oa_version: None
page: 493 - 504
pmid: 1
publication: Journal of Comparative Neurology
publication_identifier:
  issn:
  - 0021-9967
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4313'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Metabotropic glutamate receptor subtypes in axon terminals of projection fibers
  from the main and accessory olfactory bulbs: A light and electron microscopic immunohistochemical
  study in the rat'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 393
year: '1998'
...
---
_id: '2586'
abstract:
- lang: eng
  text: The role of inhibitory Golgi cells in cerebellar function was investigated
    by selectively ablating Golgi cells expressing human interleukin-2 receptor α
    subunit in transgenic mice, using the immunotoxin- mediated cell targeting technique.
    Golgi cell disruption caused severe acute motor disorders. These mice showed gradual
    recovery but retained a continuing inability to perform compound movements. Optical
    and electrical recordings combined with immunocytological analysis indicated that
    elimination of Golgi cells not only reduces GABA-mediated inhibition but also
    attenuates functional NMDA receptors in granule cells. These results demonstrate
    that synaptic integration involving both GABA inhibition and NMDA receptor activation
    is essential for compound motor coordination. Furthermore, this integration can
    adapt after Golgi cell elimination so as not to evoke overexcitation by the reduction
    of NMDA receptors.
acknowledgement: "We thank Kumlesh K Dev for careful reading of this manuscript, Peter
  Somogyi and Hirohide Sawada for invaluable advice, and Akira Uesugi for photographic
  assistance. This work was supported in part by research grants from the Ministry
  of Education, Science and Culture of Japan. the Sankyo Foundation. the Yamanouchi
  Founda-tion. the Biomolecular Engineering Research Institute, CREST and the International
  Resource Program of the National Cancer Institute. \r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Dai
  full_name: Watanabe, Dai
  last_name: Watanabe
- first_name: Hitoshi
  full_name: Inokawa, Hitoshi
  last_name: Inokawa
- first_name: Kouichi
  full_name: Hashimoto, Kouichi
  last_name: Hashimoto
- first_name: Noboru
  full_name: Suzuki, Noboru
  last_name: Suzuki
- first_name: Masanobu
  full_name: Kano, Masanobu
  last_name: Kano
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Tomoo
  full_name: Hirano, Tomoo
  last_name: Hirano
- first_name: Keisuke
  full_name: Toyama, Keisuke
  last_name: Toyama
- first_name: Satoshi
  full_name: Kaneko, Satoshi
  last_name: Kaneko
- first_name: Mineto
  full_name: Yokoi, Mineto
  last_name: Yokoi
- first_name: Koki
  full_name: Moriyoshi, Koki
  last_name: Moriyoshi
- first_name: Misao
  full_name: Suzuki, Misao
  last_name: Suzuki
- first_name: Kazuto
  full_name: Kobayashi, Kazuto
  last_name: Kobayashi
- first_name: Toshiharu
  full_name: Nagatsu, Toshiharu
  last_name: Nagatsu
- first_name: Robert
  full_name: Kreitman, Robert
  last_name: Kreitman
- first_name: Ira
  full_name: Pastan, Ira
  last_name: Pastan
- first_name: Shigetada
  full_name: Nakanishi, Shigetada
  last_name: Nakanishi
citation:
  ama: Watanabe D, Inokawa H, Hashimoto K, et al. Ablation of cerebellar Golgi cells
    disrupts synaptic integration involving GABA inhibition and NMDA receptor activation
    in motor coordination. <i>Cell</i>. 1998;95(1):17-27. doi:<a href="https://doi.org/10.1016/S0092-8674(00)81779-1">10.1016/S0092-8674(00)81779-1</a>
  apa: Watanabe, D., Inokawa, H., Hashimoto, K., Suzuki, N., Kano, M., Shigemoto,
    R., … Nakanishi, S. (1998). Ablation of cerebellar Golgi cells disrupts synaptic
    integration involving GABA inhibition and NMDA receptor activation in motor coordination.
    <i>Cell</i>. Cell Press. <a href="https://doi.org/10.1016/S0092-8674(00)81779-1">https://doi.org/10.1016/S0092-8674(00)81779-1</a>
  chicago: Watanabe, Dai, Hitoshi Inokawa, Kouichi Hashimoto, Noboru Suzuki, Masanobu
    Kano, Ryuichi Shigemoto, Tomoo Hirano, et al. “Ablation of Cerebellar Golgi Cells
    Disrupts Synaptic Integration Involving GABA Inhibition and NMDA Receptor Activation
    in Motor Coordination.” <i>Cell</i>. Cell Press, 1998. <a href="https://doi.org/10.1016/S0092-8674(00)81779-1">https://doi.org/10.1016/S0092-8674(00)81779-1</a>.
  ieee: D. Watanabe <i>et al.</i>, “Ablation of cerebellar Golgi cells disrupts synaptic
    integration involving GABA inhibition and NMDA receptor activation in motor coordination,”
    <i>Cell</i>, vol. 95, no. 1. Cell Press, pp. 17–27, 1998.
  ista: Watanabe D, Inokawa H, Hashimoto K, Suzuki N, Kano M, Shigemoto R, Hirano
    T, Toyama K, Kaneko S, Yokoi M, Moriyoshi K, Suzuki M, Kobayashi K, Nagatsu T,
    Kreitman R, Pastan I, Nakanishi S. 1998. Ablation of cerebellar Golgi cells disrupts
    synaptic integration involving GABA inhibition and NMDA receptor activation in
    motor coordination. Cell. 95(1), 17–27.
  mla: Watanabe, Dai, et al. “Ablation of Cerebellar Golgi Cells Disrupts Synaptic
    Integration Involving GABA Inhibition and NMDA Receptor Activation in Motor Coordination.”
    <i>Cell</i>, vol. 95, no. 1, Cell Press, 1998, pp. 17–27, doi:<a href="https://doi.org/10.1016/S0092-8674(00)81779-1">10.1016/S0092-8674(00)81779-1</a>.
  short: D. Watanabe, H. Inokawa, K. Hashimoto, N. Suzuki, M. Kano, R. Shigemoto,
    T. Hirano, K. Toyama, S. Kaneko, M. Yokoi, K. Moriyoshi, M. Suzuki, K. Kobayashi,
    T. Nagatsu, R. Kreitman, I. Pastan, S. Nakanishi, Cell 95 (1998) 17–27.
date_created: 2018-12-11T11:58:32Z
date_published: 1998-10-02T00:00:00Z
date_updated: 2022-08-31T13:46:20Z
day: '02'
doi: 10.1016/S0092-8674(00)81779-1
extern: '1'
external_id:
  pmid:
  - '9778244 '
intvolume: '        95'
issue: '1'
language:
- iso: eng
month: '10'
oa_version: None
page: 17 - 27
pmid: 1
publication: Cell
publication_identifier:
  issn:
  - 0092-8674
publication_status: published
publisher: Cell Press
publist_id: '4312'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ablation of cerebellar Golgi cells disrupts synaptic integration involving
  GABA inhibition and NMDA receptor activation in motor coordination
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 95
year: '1998'
...
---
_id: '2588'
abstract:
- lang: eng
  text: "B-type receptors for the neurotransmitter GABA (γ-aminobutyric acid) inhibit
    neuronal activity through G-protein-coupled second-messenger systems, which regulate
    the release of neurotransmitters and the activity of ion channels and adenylyl
    cyclase. Physiological and biochemical studies show that there are differences
    in drug efficiencies at different GABA(B) receptors, so it is expected that GABA(B)-receptor
    (GABA(B)R) subtypes exist. Two GABA(B)-receptor splice variants have been cloned
    (GABA(B)R1a and GABA(B)R1b), but native GABA(B) receptors and recombinant receptors
    showed unexplained differences in agonist-binding potencies. Moreover, the activation
    of presumed effector ion channels in heterologous cells expressing the recombinant
    receptors proved difficult. Here we describe a new GABA(B) receptor subtype, GABA(B)R2,
    which does not bind available GABA(B) antagonists with measurable potency. GABA(B)R1a,
    GABA(B)R1b and GABA(B)R2 alone do not activate Kir3-type potassium channels efficiently,
    but co- expression of these receptors yields a robust coupling to activation of
    Kir3 channels. We provide evidence for the assembly of heteromeric GABA(B) receptors
    in vivo and show that GABA(B)R2 and GABA(B)R1a/b proteins immunoprecipitate and
    localize together at dendritic spines. The heteromeric receptor complexes exhibit
    a significant increase in agonist- and partial- agonist-binding potencies as compared
    with individual receptors and probably represent the predominant native GABA(B)
    receptor. Heteromeric assembly among G-protein-coupled receptors has not, to our
    knowledge, been described before.\r\n"
acknowledgement: We thank D. Ristig, A. Begrich, I. Meigel and S. Leonhard for technical
  assistance.
article_processing_charge: No
article_type: original
author:
- first_name: Klemens
  full_name: Kaupmann, Klemens
  last_name: Kaupmann
- first_name: Barbara
  full_name: Malitschek, Barbara
  last_name: Malitschek
- first_name: Valérie
  full_name: Schuler, Valérie
  last_name: Schuler
- first_name: Jacob
  full_name: Heid, Jacob
  last_name: Heid
- first_name: Wolfgang
  full_name: Froestl, Wolfgang
  last_name: Froestl
- first_name: Pascal
  full_name: Beck, Pascal
  last_name: Beck
- first_name: Johannes
  full_name: Mosbacher, Johannes
  last_name: Mosbacher
- first_name: Serge
  full_name: Bischoff, Serge
  last_name: Bischoff
- first_name: Ákos
  full_name: Kulik, Ákos
  last_name: Kulik
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Andreas
  full_name: Karschin, Andreas
  last_name: Karschin
- first_name: Bernhard
  full_name: Bettler, Bernhard
  last_name: Bettler
citation:
  ama: Kaupmann K, Malitschek B, Schuler V, et al.  GABA(B)-receptor subtypes assemble
    into functional heteromeric complexes. <i>Nature</i>. 1998;396(6712):683-687.
    doi:<a href="https://doi.org/10.1038/25360">10.1038/25360</a>
  apa: Kaupmann, K., Malitschek, B., Schuler, V., Heid, J., Froestl, W., Beck, P.,
    … Bettler, B. (1998).  GABA(B)-receptor subtypes assemble into functional heteromeric
    complexes. <i>Nature</i>. Nature Publishing Group. <a href="https://doi.org/10.1038/25360">https://doi.org/10.1038/25360</a>
  chicago: Kaupmann, Klemens, Barbara Malitschek, Valérie Schuler, Jacob Heid, Wolfgang
    Froestl, Pascal Beck, Johannes Mosbacher, et al. “ GABA(B)-Receptor Subtypes Assemble
    into Functional Heteromeric Complexes.” <i>Nature</i>. Nature Publishing Group,
    1998. <a href="https://doi.org/10.1038/25360">https://doi.org/10.1038/25360</a>.
  ieee: K. Kaupmann <i>et al.</i>, “ GABA(B)-receptor subtypes assemble into functional
    heteromeric complexes,” <i>Nature</i>, vol. 396, no. 6712. Nature Publishing Group,
    pp. 683–687, 1998.
  ista: Kaupmann K, Malitschek B, Schuler V, Heid J, Froestl W, Beck P, Mosbacher
    J, Bischoff S, Kulik Á, Shigemoto R, Karschin A, Bettler B. 1998.  GABA(B)-receptor
    subtypes assemble into functional heteromeric complexes. Nature. 396(6712), 683–687.
  mla: Kaupmann, Klemens, et al. “ GABA(B)-Receptor Subtypes Assemble into Functional
    Heteromeric Complexes.” <i>Nature</i>, vol. 396, no. 6712, Nature Publishing Group,
    1998, pp. 683–87, doi:<a href="https://doi.org/10.1038/25360">10.1038/25360</a>.
  short: K. Kaupmann, B. Malitschek, V. Schuler, J. Heid, W. Froestl, P. Beck, J.
    Mosbacher, S. Bischoff, Á. Kulik, R. Shigemoto, A. Karschin, B. Bettler, Nature
    396 (1998) 683–687.
date_created: 2018-12-11T11:58:32Z
date_published: 1998-12-17T00:00:00Z
date_updated: 2022-08-31T12:43:05Z
day: '17'
doi: 10.1038/25360
extern: '1'
external_id:
  pmid:
  - '9872317'
intvolume: '       396'
issue: '6712'
language:
- iso: eng
month: '12'
oa_version: None
page: 683 - 687
pmid: 1
publication: Nature
publication_identifier:
  issn:
  - 0028-0836
publication_status: published
publisher: Nature Publishing Group
publist_id: '4309'
quality_controlled: '1'
scopus_import: '1'
status: public
title: ' GABA(B)-receptor subtypes assemble into functional heteromeric complexes'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 396
year: '1998'
...
---
_id: '2589'
abstract:
- lang: eng
  text: Immunoreactivity for the substance P receptor (NK1 receptor) has been investigated
    by light and electron microscopy in the dorsal vagal complexes of adult rats and
    cats. The general pattern of NK1 immunoreactivity was similar for both rat and
    cat. Numerous NK1-immunoreactive neurons were present in the area postrema, the
    nucleus of the solitary tract, and the dorsal motor nucleus of the vagus nerve.
    The density of labelled neurons differed between the subnuclei of the nucleus
    of the solitary tract. Overall, the efferent neurons of the dorsal motor nucleus
    of the vagus nerve highly expressed NK1 when compared to neurons in the nucleus
    of the solitary tract. The results are discussed with reference to the viscerotopic
    organisation of the dorsal vagal complex. Ultrastructural analysis demonstrated
    that NK1 immunoreactivity was present only at the membrane surface of somatic
    and dendritic profiles of neurons. No labelling was found in axon terminals, axons,
    or glial processes. NK1 immunoreactivity, as revealed by a preembedding immunogold
    technique in serial ultrathin sections; was preferentially located at nonsynaptic
    sites. A semiquantitative study suggested that the density of NK1 receptors is
    statistically higher at membrane sites free of any contact (synaptic or not) with
    axon terminals. The subcellular localisation of NK1 immunoreactivity was similar
    for neurons of both rat and cat. These results suggest that in the dorsal vagal
    complex, substance P might act on NK1 receptors through a process of volume transmission.
acknowledgement: The authors thank Dr. Wolfgang A.A. Kunze for his helpin the English
  reviewing of the manuscript. The authorsthank Drs. Nadine Clerc, Jean-Pierre Kessler,
  WolfgangA.A. Kunze, Jean-Jacques Puizillout, and Fabien Tell fortheir constructive
  discussions and critiques of the manu-script.  This  study  was  supported  by  CNRS  (FR45/UPR9024).
article_processing_charge: No
article_type: original
author:
- first_name: Agnès
  full_name: Baude, Agnès
  last_name: Baude
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
citation:
  ama: 'Baude A, Shigemoto R. Cellular and subcellular distribution of substance P
    receptor immunoreactivity in the dorsal vagal complex of the rat and cat: A light
    and electron microscope study. <i>Journal of Comparative Neurology</i>. 1998;402(2):181-196.
    doi:<a href="https://doi.org/10.1002/(SICI)1096-9861(19981214)402:2&#38;lt;181::AID-CNE4&#38;gt;3.0.CO;2-B">10.1002/(SICI)1096-9861(19981214)402:2&#38;lt;181::AID-CNE4&#38;gt;3.0.CO;2-B</a>'
  apa: 'Baude, A., &#38; Shigemoto, R. (1998). Cellular and subcellular distribution
    of substance P receptor immunoreactivity in the dorsal vagal complex of the rat
    and cat: A light and electron microscope study. <i>Journal of Comparative Neurology</i>.
    Wiley-Blackwell. <a href="https://doi.org/10.1002/(SICI)1096-9861(19981214)402:2&#38;lt;181::AID-CNE4&#38;gt;3.0.CO;2-B">https://doi.org/10.1002/(SICI)1096-9861(19981214)402:2&#38;lt;181::AID-CNE4&#38;gt;3.0.CO;2-B</a>'
  chicago: 'Baude, Agnès, and Ryuichi Shigemoto. “Cellular and Subcellular Distribution
    of Substance P Receptor Immunoreactivity in the Dorsal Vagal Complex of the Rat
    and Cat: A Light and Electron Microscope Study.” <i>Journal of Comparative Neurology</i>.
    Wiley-Blackwell, 1998. <a href="https://doi.org/10.1002/(SICI)1096-9861(19981214)402:2&#38;lt;181::AID-CNE4&#38;gt;3.0.CO;2-B">https://doi.org/10.1002/(SICI)1096-9861(19981214)402:2&#38;lt;181::AID-CNE4&#38;gt;3.0.CO;2-B</a>.'
  ieee: 'A. Baude and R. Shigemoto, “Cellular and subcellular distribution of substance
    P receptor immunoreactivity in the dorsal vagal complex of the rat and cat: A
    light and electron microscope study,” <i>Journal of Comparative Neurology</i>,
    vol. 402, no. 2. Wiley-Blackwell, pp. 181–196, 1998.'
  ista: 'Baude A, Shigemoto R. 1998. Cellular and subcellular distribution of substance
    P receptor immunoreactivity in the dorsal vagal complex of the rat and cat: A
    light and electron microscope study. Journal of Comparative Neurology. 402(2),
    181–196.'
  mla: 'Baude, Agnès, and Ryuichi Shigemoto. “Cellular and Subcellular Distribution
    of Substance P Receptor Immunoreactivity in the Dorsal Vagal Complex of the Rat
    and Cat: A Light and Electron Microscope Study.” <i>Journal of Comparative Neurology</i>,
    vol. 402, no. 2, Wiley-Blackwell, 1998, pp. 181–96, doi:<a href="https://doi.org/10.1002/(SICI)1096-9861(19981214)402:2&#38;lt;181::AID-CNE4&#38;gt;3.0.CO;2-B">10.1002/(SICI)1096-9861(19981214)402:2&#38;lt;181::AID-CNE4&#38;gt;3.0.CO;2-B</a>.'
  short: A. Baude, R. Shigemoto, Journal of Comparative Neurology 402 (1998) 181–196.
date_created: 2018-12-11T11:58:32Z
date_published: 1998-12-14T00:00:00Z
date_updated: 2022-08-31T12:57:30Z
day: '14'
doi: 10.1002/(SICI)1096-9861(19981214)402:2&lt;181::AID-CNE4&gt;3.0.CO;2-B
extern: '1'
external_id:
  pmid:
  - '9845242 '
intvolume: '       402'
issue: '2'
language:
- iso: eng
month: '12'
oa_version: None
page: 181 - 196
pmid: 1
publication: Journal of Comparative Neurology
publication_identifier:
  issn:
  - 0021-9967
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4310'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Cellular and subcellular distribution of substance P receptor immunoreactivity
  in the dorsal vagal complex of the rat and cat: A light and electron microscope
  study'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 402
year: '1998'
...
---
_id: '2590'
abstract:
- lang: eng
  text: Unipolar brush cells (UBCs) are a class of small neurons that are densely
    concentrated in the granular layers of the vestibulocerebellar cortex and dorsal
    cochlear nucleus. The UBCs form giant synapses with individual mossy fibre rosettes
    on the dendrioles which make up their brush formations and are provided with numerous,
    unusual non-synaptic appendages. In accord with the glutamatergic nature of mossy
    fibres, our previous post-embedding immunocytochemical studies indicated that
    various ionotropic glutamate receptor subunits are localized at the post-synaptic
    densities of the giant synapses, whereas the non-synaptic appendages are immunonegative.
    On the contrary, the metabotropic glutamate receptors mGluR1α and mGluR2/3 are
    situated at the non-synaptic appendages and are lacking at the post-synaptic densities.
    Other authors, however, have shown that antibodies to these metabotropic receptors
    stain both appendages and post-synaptic densities. In the present study, we have
    re-evaluated the distribution of metabotropic glutamate receptors in the UBCs
    of the cerebellum and the cochlear nuclear complex by light and electron microscopic
    pre-embedding immunocytochemistry with subtype-specific antibodies. We confirm
    that UBCs dendritic brushes are densely immunostained by antibody to mGluR1α particularly
    in the cerebellum and that antibody to mGluR2/3 labels at least a percentage of
    the UBC brushes in both the cerebellum and cochlear nuclei. At the ultrastructural
    level, it appears that mGluR1α and mGluR2/3 immunoreactivities are not associated
    with the post-synaptic densities of the giant mossy fibre-UBC synapses, but instead
    are concentrated on the non-synaptic appendages of the cerebellar UBCs. The non-synaptic
    appendages, therefore, may be an important avenue for regulating the excitability
    of UBCs and mediating glutamate effects on their still unknown intracellular signal
    transduction cascades. We also show that the pre-synaptic densities of UBC dendrodendritic
    junctions are mGluR2/3 positive. As previously demonstrated, antibodies to mGluR1α
    and mGluR2/3 label subsets of Golgi cells. Antibody to mGluR5 does not stain UBCs
    in the cerebellum and cochlear nucleus and reveals the somatodendritic compartment
    of Golgi cells situated in the core of the cerebellar granular layer, whilst cochlear
    nucleus Golgi cells are mGluR5 negative.
acknowledgement: The authors wish to thank Dr R. L. Huganir and coworkers for kindly
  providing an aliquot of their mGluR1a antibody and Dr N. Traverse Slater for helpful
  comments on the manuscript. The study was supported by US-PHS grants NS 09904 and
  DC 01805 (to E.M.).
article_processing_charge: No
article_type: original
author:
- first_name: Dick
  full_name: Jaarsma, Dick
  last_name: Jaarsma
- first_name: Maria
  full_name: Diño, Maria
  last_name: Diño
- first_name: Hitoshi
  full_name: Ohishi, Hitoshi
  last_name: Ohishi
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Enrico
  full_name: Mugnaini, Enrico
  last_name: Mugnaini
citation:
  ama: Jaarsma D, Diño M, Ohishi H, Shigemoto R, Mugnaini E.  Metabotropic glutamate
    receptors are associated with non-synaptic appendages of unipolar brush cells
    in rat cerebellar cortex and cochlear nuclear complex. <i>Journal of Neurocytology</i>.
    1998;27(5):303-327. doi:<a href="https://doi.org/10.1023/A:1006982023657">10.1023/A:1006982023657</a>
  apa: Jaarsma, D., Diño, M., Ohishi, H., Shigemoto, R., &#38; Mugnaini, E. (1998).  Metabotropic
    glutamate receptors are associated with non-synaptic appendages of unipolar brush
    cells in rat cerebellar cortex and cochlear nuclear complex. <i>Journal of Neurocytology</i>.
    Kluwer. <a href="https://doi.org/10.1023/A:1006982023657">https://doi.org/10.1023/A:1006982023657</a>
  chicago: Jaarsma, Dick, Maria Diño, Hitoshi Ohishi, Ryuichi Shigemoto, and Enrico
    Mugnaini. “ Metabotropic Glutamate Receptors Are Associated with Non-Synaptic
    Appendages of Unipolar Brush Cells in Rat Cerebellar Cortex and Cochlear Nuclear
    Complex.” <i>Journal of Neurocytology</i>. Kluwer, 1998. <a href="https://doi.org/10.1023/A:1006982023657">https://doi.org/10.1023/A:1006982023657</a>.
  ieee: D. Jaarsma, M. Diño, H. Ohishi, R. Shigemoto, and E. Mugnaini, “ Metabotropic
    glutamate receptors are associated with non-synaptic appendages of unipolar brush
    cells in rat cerebellar cortex and cochlear nuclear complex,” <i>Journal of Neurocytology</i>,
    vol. 27, no. 5. Kluwer, pp. 303–327, 1998.
  ista: Jaarsma D, Diño M, Ohishi H, Shigemoto R, Mugnaini E. 1998.  Metabotropic
    glutamate receptors are associated with non-synaptic appendages of unipolar brush
    cells in rat cerebellar cortex and cochlear nuclear complex. Journal of Neurocytology.
    27(5), 303–327.
  mla: Jaarsma, Dick, et al. “ Metabotropic Glutamate Receptors Are Associated with
    Non-Synaptic Appendages of Unipolar Brush Cells in Rat Cerebellar Cortex and Cochlear
    Nuclear Complex.” <i>Journal of Neurocytology</i>, vol. 27, no. 5, Kluwer, 1998,
    pp. 303–27, doi:<a href="https://doi.org/10.1023/A:1006982023657">10.1023/A:1006982023657</a>.
  short: D. Jaarsma, M. Diño, H. Ohishi, R. Shigemoto, E. Mugnaini, Journal of Neurocytology
    27 (1998) 303–327.
date_created: 2018-12-11T11:58:33Z
date_published: 1998-01-01T00:00:00Z
date_updated: 2022-08-31T12:30:14Z
day: '01'
doi: 10.1023/A:1006982023657
extern: '1'
external_id:
  pmid:
  - '9923978 '
intvolume: '        27'
issue: '5'
language:
- iso: eng
month: '01'
oa_version: None
page: 303 - 327
pmid: 1
publication: Journal of Neurocytology
publication_identifier:
  issn:
  - 0300-4864
publication_status: published
publisher: Kluwer
publist_id: '4308'
quality_controlled: '1'
scopus_import: '1'
status: public
title: ' Metabotropic glutamate receptors are associated with non-synaptic appendages
  of unipolar brush cells in rat cerebellar cortex and cochlear nuclear complex'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 27
year: '1998'
...
---
_id: '2695'
abstract:
- lang: eng
  text: 'We study a quantum particle in a random potential in two scaling limits:
    the low density limit (or Boltzman-Grad) and the weak coupling limit. The low
    density limit is the quantum analogue of the Lorentz gas. In both cases, the phase
    space density of the quantum evolution defined through the Wigner transform or
    the Husimi function converges weakly to a linear Boltz-mann equation with collision
    kernel given by the quantum scattering cross section. '
alternative_title:
- Contemporary Mathematics
article_processing_charge: No
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Horng
  full_name: Yau, Horng
  last_name: Yau
citation:
  ama: 'Erdös L, Yau H. Linear Boltzmann equation as scaling limit of quantum Lorentz
    gas. In: <i>Advances in Differential Equations and Mathematical Physics</i>. Vol
    217. American Mathematical Society; 1998:137-155. doi:<a href="https://doi.org/10.1090/conm/217">10.1090/conm/217</a>'
  apa: Erdös, L., &#38; Yau, H. (1998). Linear Boltzmann equation as scaling limit
    of quantum Lorentz gas. In <i>Advances in Differential Equations and Mathematical
    Physics</i> (Vol. 217, pp. 137–155). American Mathematical Society. <a href="https://doi.org/10.1090/conm/217">https://doi.org/10.1090/conm/217</a>
  chicago: Erdös, László, and Horng Yau. “Linear Boltzmann Equation as Scaling Limit
    of Quantum Lorentz Gas.” In <i>Advances in Differential Equations and Mathematical
    Physics</i>, 217:137–55. American Mathematical Society, 1998. <a href="https://doi.org/10.1090/conm/217">https://doi.org/10.1090/conm/217</a>.
  ieee: L. Erdös and H. Yau, “Linear Boltzmann equation as scaling limit of quantum
    Lorentz gas,” in <i>Advances in Differential Equations and Mathematical Physics</i>,
    vol. 217, American Mathematical Society, 1998, pp. 137–155.
  ista: 'Erdös L, Yau H. 1998.Linear Boltzmann equation as scaling limit of quantum
    Lorentz gas. In: Advances in Differential Equations and Mathematical Physics.
    Contemporary Mathematics, vol. 217, 137–155.'
  mla: Erdös, László, and Horng Yau. “Linear Boltzmann Equation as Scaling Limit of
    Quantum Lorentz Gas.” <i>Advances in Differential Equations and Mathematical Physics</i>,
    vol. 217, American Mathematical Society, 1998, pp. 137–55, doi:<a href="https://doi.org/10.1090/conm/217">10.1090/conm/217</a>.
  short: L. Erdös, H. Yau, in:, Advances in Differential Equations and Mathematical
    Physics, American Mathematical Society, 1998, pp. 137–155.
date_created: 2018-12-11T11:59:07Z
date_published: 1998-01-01T00:00:00Z
date_updated: 2022-08-31T11:46:40Z
day: '01'
doi: 10.1090/conm/217
extern: '1'
intvolume: '       217'
language:
- iso: eng
month: '01'
oa_version: None
page: 137 - 155
publication: Advances in Differential Equations and Mathematical Physics
publication_identifier:
  issn:
  - 0271-4132
publication_status: published
publisher: American Mathematical Society
publist_id: '4202'
quality_controlled: '1'
status: public
title: Linear Boltzmann equation as scaling limit of quantum Lorentz gas
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 217
year: '1998'
...
---
_id: '2728'
abstract:
- lang: eng
  text: We obtain the Lifschitz tail, i.e. the exact low energy asymptotics of the
    integrated density of states (IDS) of the two-dimensional magnetic Schrödinger
    operator with a uniform magnetic field and random Poissonian impurities. The single
    site potential is repulsive and it has a finite but nonzero range. We show that
    the IDS is a continuous function of the energy at the bottom of the spectrum.
    This result complements the earlier (nonrigorous) calculations by Brézin, Gross
    and Itzykson which predict that the IDS is discontinuous at the bottom of the
    spectrum for zero range (Dirac delta) impurities at low density. We also elucidate
    the reason behind this apparent controversy. Our methods involve magnetic localization
    techniques (both in space and energy) in addition to a modified version of the
    &quot;enlargement of obstacles&quot; method developed by A.-S. Sznitman.
acknowledgement: The author is grateful to Professor A.-S. Sznitman for explaining
  him his work and for fruitful discussions, and to the referee for pointing out errors
  and for many helpful comments.This work has been initiated and later on completed
  at the Forschungsinstitut für Mathematik, ETH Zürich.
article_processing_charge: No
article_type: original
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
citation:
  ama: 'Erdös L. Lifschitz tail in a magnetic field: The nonclassical regime. <i>Probability
    Theory and Related Fields</i>. 1998;112(3):321-371. doi:<a href="https://doi.org/10.1007/s004400050193">10.1007/s004400050193</a>'
  apa: 'Erdös, L. (1998). Lifschitz tail in a magnetic field: The nonclassical regime.
    <i>Probability Theory and Related Fields</i>. Springer. <a href="https://doi.org/10.1007/s004400050193">https://doi.org/10.1007/s004400050193</a>'
  chicago: 'Erdös, László. “Lifschitz Tail in a Magnetic Field: The Nonclassical Regime.”
    <i>Probability Theory and Related Fields</i>. Springer, 1998. <a href="https://doi.org/10.1007/s004400050193">https://doi.org/10.1007/s004400050193</a>.'
  ieee: 'L. Erdös, “Lifschitz tail in a magnetic field: The nonclassical regime,”
    <i>Probability Theory and Related Fields</i>, vol. 112, no. 3. Springer, pp. 321–371,
    1998.'
  ista: 'Erdös L. 1998. Lifschitz tail in a magnetic field: The nonclassical regime.
    Probability Theory and Related Fields. 112(3), 321–371.'
  mla: 'Erdös, László. “Lifschitz Tail in a Magnetic Field: The Nonclassical Regime.”
    <i>Probability Theory and Related Fields</i>, vol. 112, no. 3, Springer, 1998,
    pp. 321–71, doi:<a href="https://doi.org/10.1007/s004400050193">10.1007/s004400050193</a>.'
  short: L. Erdös, Probability Theory and Related Fields 112 (1998) 321–371.
date_created: 2018-12-11T11:59:17Z
date_published: 1998-11-01T00:00:00Z
date_updated: 2022-08-30T08:17:54Z
day: '01'
doi: 10.1007/s004400050193
extern: '1'
intvolume: '       112'
issue: '3'
language:
- iso: eng
month: '11'
oa_version: None
page: 321 - 371
publication: Probability Theory and Related Fields
publication_identifier:
  issn:
  - 0044-3719
publication_status: published
publisher: Springer
publist_id: '4163'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Lifschitz tail in a magnetic field: The nonclassical regime'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 112
year: '1998'
...
---
_id: '11680'
abstract:
- lang: eng
  text: 'We present a model for edge updates with restricted randomness in dynamic
    graph algorithms and a general technique for analyzing the expected running time
    of an update operation. This model is able to capture the average case in many
    applications, since (1) it allows restrictions on the set of edges which can be
    used for insertions and (2) the type (insertion or deletion) of each update operation
    is arbitrary, i.e., not random. We use our technique to analyze existing and new
    dynamic algorithms for the following problems: maximum cardinality matching, minimum
    spanning forest, connectivity, 2-edge connectivity, k -edge connectivity, k -vertex
    connectivity, and bipartiteness. Given a random graph G with m 0 edges and n vertices
    and a sequence of l update operations such that the graph contains m i edges after
    operation i , the expected time for performing the updates for any l is O(llogn+∑li=1n/m−−√i)
    in the case of minimum spanning forests, connectivity, 2-edge connectivity, and
    bipartiteness. The expected time per update operation is O(n) in the case of maximum
    matching. We also give improved bounds for k -edge and k -vertex connectivity.
    Additionally we give an insertions-only algorithm for maximum cardinality matching
    with worst-case O(n) amortized time per insertion.'
acknowledgement: The authors would like to thank Emo Welzl for helpful discussions.
article_processing_charge: No
article_type: original
author:
- first_name: D.
  full_name: Alberts, D.
  last_name: Alberts
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
citation:
  ama: Alberts D, Henzinger MH. Average-case analysis of dynamic graph algorithms.
    <i>Algorithmica</i>. 1998;20:31-60. doi:<a href="https://doi.org/10.1007/pl00009186">10.1007/pl00009186</a>
  apa: Alberts, D., &#38; Henzinger, M. H. (1998). Average-case analysis of dynamic
    graph algorithms. <i>Algorithmica</i>. Springer Nature. <a href="https://doi.org/10.1007/pl00009186">https://doi.org/10.1007/pl00009186</a>
  chicago: Alberts, D., and Monika H Henzinger. “Average-Case Analysis of Dynamic
    Graph Algorithms.” <i>Algorithmica</i>. Springer Nature, 1998. <a href="https://doi.org/10.1007/pl00009186">https://doi.org/10.1007/pl00009186</a>.
  ieee: D. Alberts and M. H. Henzinger, “Average-case analysis of dynamic graph algorithms,”
    <i>Algorithmica</i>, vol. 20. Springer Nature, pp. 31–60, 1998.
  ista: Alberts D, Henzinger MH. 1998. Average-case analysis of dynamic graph algorithms.
    Algorithmica. 20, 31–60.
  mla: Alberts, D., and Monika H. Henzinger. “Average-Case Analysis of Dynamic Graph
    Algorithms.” <i>Algorithmica</i>, vol. 20, Springer Nature, 1998, pp. 31–60, doi:<a
    href="https://doi.org/10.1007/pl00009186">10.1007/pl00009186</a>.
  short: D. Alberts, M.H. Henzinger, Algorithmica 20 (1998) 31–60.
date_created: 2022-07-28T06:50:51Z
date_published: 1998-01-01T00:00:00Z
date_updated: 2023-02-21T16:33:27Z
day: '01'
doi: 10.1007/pl00009186
extern: '1'
intvolume: '        20'
keyword:
- Dynamic graph algorithm
- Average-case analysis
- Minimum spanning forest
- Connectivity
- Bipartiteness
- Maximum matching.
language:
- iso: eng
month: '01'
oa_version: None
page: 31-60
publication: Algorithmica
publication_identifier:
  eissn:
  - 1432-0541
  issn:
  - 0178-4617
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '11928'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Average-case analysis of dynamic graph algorithms
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 20
year: '1998'
...
---
_id: '11681'
abstract:
- lang: eng
  text: We prove lower bounds on the complexity of maintaining fully dynamic k -edge
    or k -vertex connectivity in plane graphs and in (k-1) -vertex connected graphs.
    We show an amortized lower bound of Ω (log n / {k (log log n} + log b)) per edge
    insertion, deletion, or query operation in the cell probe model, where b is the
    word size of the machine and n is the number of vertices in G . We also show an
    amortized lower bound of Ω (log n /(log log n + log b)) per operation for fully
    dynamic planarity testing in embedded graphs. These are the first lower bounds
    for fully dynamic connectivity problems.
acknowledgement: .
article_processing_charge: No
article_type: original
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: M. L.
  full_name: Fredman, M. L.
  last_name: Fredman
citation:
  ama: Henzinger MH, Fredman ML. Lower bounds for fully dynamic connectivity problems
    in graphs. <i>Algorithmica</i>. 1998;22(3):351-362. doi:<a href="https://doi.org/10.1007/pl00009228">10.1007/pl00009228</a>
  apa: Henzinger, M. H., &#38; Fredman, M. L. (1998). Lower bounds for fully dynamic
    connectivity problems in graphs. <i>Algorithmica</i>. Springer Nature. <a href="https://doi.org/10.1007/pl00009228">https://doi.org/10.1007/pl00009228</a>
  chicago: Henzinger, Monika H, and M. L. Fredman. “Lower Bounds for Fully Dynamic
    Connectivity Problems in Graphs.” <i>Algorithmica</i>. Springer Nature, 1998.
    <a href="https://doi.org/10.1007/pl00009228">https://doi.org/10.1007/pl00009228</a>.
  ieee: M. H. Henzinger and M. L. Fredman, “Lower bounds for fully dynamic connectivity
    problems in graphs,” <i>Algorithmica</i>, vol. 22, no. 3. Springer Nature, pp.
    351–362, 1998.
  ista: Henzinger MH, Fredman ML. 1998. Lower bounds for fully dynamic connectivity
    problems in graphs. Algorithmica. 22(3), 351–362.
  mla: Henzinger, Monika H., and M. L. Fredman. “Lower Bounds for Fully Dynamic Connectivity
    Problems in Graphs.” <i>Algorithmica</i>, vol. 22, no. 3, Springer Nature, 1998,
    pp. 351–62, doi:<a href="https://doi.org/10.1007/pl00009228">10.1007/pl00009228</a>.
  short: M.H. Henzinger, M.L. Fredman, Algorithmica 22 (1998) 351–362.
date_created: 2022-07-28T06:58:36Z
date_published: 1998-11-01T00:00:00Z
date_updated: 2022-09-12T09:03:36Z
day: '01'
doi: 10.1007/pl00009228
extern: '1'
intvolume: '        22'
issue: '3'
keyword:
- Dynamic planarity testing
- Dynamic connectivity testing
- Lower bounds
- Cell probe model
language:
- iso: eng
month: '11'
oa_version: None
page: 351-362
publication: Algorithmica
publication_identifier:
  eissn:
  - 1432-0541
  issn:
  - 0178-4617
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Lower bounds for fully dynamic connectivity problems in graphs
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 22
year: '1998'
...
---
_id: '11682'
abstract:
- lang: eng
  text: We consider the parametric minimum spanning tree problem, in which we are
    given a graph with edge weights that are linear functions of a parameter /spl
    lambda/ and wish to compute the sequence of minimum spanning trees generated as
    /spl lambda/ varies. We also consider the kinetic minimum spanning tree problem,
    in which /spl lambda/ represents time and the graph is subject in addition to
    changes such as edge insertions, deletions, and modifications of the weight functions
    as time progresses. We solve both problems in time O(n/sup 2/3/log/sup 4/3/) per
    combinatorial change in the tree (or randomized O(n/sup 2/3/log/sup 4/3/ n) per
    change). Our time bounds reduce to O(n/sup 1/2/log/sup 3/2/ n) per change (O(n/sup
    1/2/log n) randomized) for planar graphs or other minor-closed families of graphs,
    and O(n/sup 1/4/log/sup 3/2/ n) per change (O(n/sup 1/4/ log n) randomized) for
    planar graphs with weight changes but no insertions or deletions.
article_processing_charge: No
author:
- first_name: P. K.
  full_name: Agarwal, P. K.
  last_name: Agarwal
- first_name: D.
  full_name: EppsteinL. J. Guibas, D.
  last_name: EppsteinL. J. Guibas
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
citation:
  ama: 'Agarwal PK, EppsteinL. J. Guibas D, Henzinger MH. Parametric and kinetic minimum
    spanning trees. In: <i>Proceedings of the 39th Annual Symposium on Foundations
    of Computer Science</i>. ; 1998:596-605. doi:<a href="https://doi.org/10.1109/SFCS.1998.743510">10.1109/SFCS.1998.743510</a>'
  apa: Agarwal, P. K., EppsteinL. J. Guibas, D., &#38; Henzinger, M. H. (1998). Parametric
    and kinetic minimum spanning trees. In <i>Proceedings of the 39th Annual Symposium
    on Foundations of Computer Science</i> (pp. 596–605). Palo Alto, CA, United States.
    <a href="https://doi.org/10.1109/SFCS.1998.743510">https://doi.org/10.1109/SFCS.1998.743510</a>
  chicago: Agarwal, P. K., D. EppsteinL. J. Guibas, and Monika H Henzinger. “Parametric
    and Kinetic Minimum Spanning Trees.” In <i>Proceedings of the 39th Annual Symposium
    on Foundations of Computer Science</i>, 596–605, 1998. <a href="https://doi.org/10.1109/SFCS.1998.743510">https://doi.org/10.1109/SFCS.1998.743510</a>.
  ieee: P. K. Agarwal, D. EppsteinL. J. Guibas, and M. H. Henzinger, “Parametric and
    kinetic minimum spanning trees,” in <i>Proceedings of the 39th Annual Symposium
    on Foundations of Computer Science</i>, Palo Alto, CA, United States, 1998, pp.
    596–605.
  ista: Agarwal PK, EppsteinL. J. Guibas D, Henzinger MH. 1998. Parametric and kinetic
    minimum spanning trees. Proceedings of the 39th Annual Symposium on Foundations
    of Computer Science. Annual IEEE Symposium on Foundations of Computer Science,
    596–605.
  mla: Agarwal, P. K., et al. “Parametric and Kinetic Minimum Spanning Trees.” <i>Proceedings
    of the 39th Annual Symposium on Foundations of Computer Science</i>, 1998, pp.
    596–605, doi:<a href="https://doi.org/10.1109/SFCS.1998.743510">10.1109/SFCS.1998.743510</a>.
  short: P.K. Agarwal, D. EppsteinL. J. Guibas, M.H. Henzinger, in:, Proceedings of
    the 39th Annual Symposium on Foundations of Computer Science, 1998, pp. 596–605.
conference:
  end_date: 1998-11-11
  location: Palo Alto, CA, United States
  name: Annual IEEE Symposium on Foundations of Computer Science
  start_date: 1998-11-08
date_created: 2022-07-28T07:21:34Z
date_published: 1998-09-01T00:00:00Z
date_updated: 2023-02-09T11:28:52Z
day: '01'
doi: 10.1109/SFCS.1998.743510
extern: '1'
language:
- iso: eng
month: '09'
oa_version: None
page: 596-605
publication: Proceedings of the 39th Annual Symposium on Foundations of Computer Science
publication_identifier:
  isbn:
  - 0-8186-9172-7
  issn:
  - 0272-5428
publication_status: published
quality_controlled: '1'
scopus_import: '1'
status: public
title: Parametric and kinetic minimum spanning trees
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '1998'
...
---
_id: '11926'
abstract:
- lang: eng
  text: "We present the first polylog-competitive online algorithm for the general
    multicast problem in the throughput model. The ratio of the number of requests
    accepted by the optimum offline alaorithm to the exoected number of reauests accepted
    by our algorithm is O(jlog n + log log M)(log n + log M) log n), where M is the
    number of multicast groups and n is the number of nodes in the nraoh. We show
    that this is close to optimum by presenting-an*R(log nlog M) lower\r\nbound on
    this ratio for anv randomized online algorithm against an oblivious adversary,
    when M is much lar&r than the link capacities. Our lower bound applies even in
    the restricted case where the link capacities are much larger than bandwidth requested
    by a single multicast. We also present a simple proof showing that it is impossible
    to be competitive against an adaptive online adversary. As in the previous online
    routing algorithms, our algorithm uses edge-costs when deciding on which is the
    best path to use. In contrast to the nrevious comnetitive aleorithms in the throughput
    modei, our cost is-not a direct function of the edne load. The new cost definition
    allows us to decouple the effects of routing and admission decisions of different
    multicast groups.  "
article_processing_charge: No
author:
- first_name: Ashish
  full_name: Goel, Ashish
  last_name: Goel
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Serge
  full_name: Plotkin, Serge
  last_name: Plotkin
citation:
  ama: 'Goel A, Henzinger MH, Plotkin S. An online throughput-competitive algorithm
    for multicast routing and admission control. In: <i>9th Annual ACM SIAM Symposium
    on Discrete Algorithms</i>. Society for Industrial and Applied Mathematics; 1998:97-106.'
  apa: 'Goel, A., Henzinger, M. H., &#38; Plotkin, S. (1998). An online throughput-competitive
    algorithm for multicast routing and admission control. In <i>9th Annual ACM SIAM
    Symposium on Discrete Algorithms</i> (pp. 97–106). San Francisco, CA, United States:
    Society for Industrial and Applied Mathematics.'
  chicago: Goel, Ashish, Monika H Henzinger, and Serge Plotkin. “An Online Throughput-Competitive
    Algorithm for Multicast Routing and Admission Control.” In <i>9th Annual ACM SIAM
    Symposium on Discrete Algorithms</i>, 97–106. Society for Industrial and Applied
    Mathematics, 1998.
  ieee: A. Goel, M. H. Henzinger, and S. Plotkin, “An online throughput-competitive
    algorithm for multicast routing and admission control,” in <i>9th Annual ACM SIAM
    Symposium on Discrete Algorithms</i>, San Francisco, CA, United States, 1998,
    pp. 97–106.
  ista: 'Goel A, Henzinger MH, Plotkin S. 1998. An online throughput-competitive algorithm
    for multicast routing and admission control. 9th Annual ACM SIAM Symposium on
    Discrete Algorithms. SODA: Symposium on Discrete Algorithms, 97–106.'
  mla: Goel, Ashish, et al. “An Online Throughput-Competitive Algorithm for Multicast
    Routing and Admission Control.” <i>9th Annual ACM SIAM Symposium on Discrete Algorithms</i>,
    Society for Industrial and Applied Mathematics, 1998, pp. 97–106.
  short: A. Goel, M.H. Henzinger, S. Plotkin, in:, 9th Annual ACM SIAM Symposium on
    Discrete Algorithms, Society for Industrial and Applied Mathematics, 1998, pp.
    97–106.
conference:
  end_date: 1998-01-27
  location: San Francisco, CA, United States
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 1998-01-25
date_created: 2022-08-19T06:22:30Z
date_published: 1998-01-01T00:00:00Z
date_updated: 2023-02-21T16:27:22Z
day: '01'
extern: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 97-106
publication: 9th Annual ACM SIAM Symposium on Discrete Algorithms
publication_identifier:
  isbn:
  - '0898714109'
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
related_material:
  record:
  - id: '11763'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: An online throughput-competitive algorithm for multicast routing and admission
  control
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '1998'
...
---
_id: '8527'
abstract:
- lang: eng
  text: We introduce a new potential-theoretic definition of the dimension spectrum  of
    a probability measure for q > 1 and explain its relation to prior definitions.
    We apply this definition to prove that if  and  is a Borel probability measure
    with compact support in , then under almost every linear transformation from  to
    , the q-dimension of the image of  is ; in particular, the q-dimension of  is
    preserved provided . We also present results on the preservation of information
    dimension  and pointwise dimension. Finally, for  and q > 2 we give examples for
    which  is not preserved by any linear transformation into . All results for typical
    linear transformations are also proved for typical (in the sense of prevalence)
    continuously differentiable functions.
article_processing_charge: No
article_type: original
author:
- first_name: Brian R
  full_name: Hunt, Brian R
  last_name: Hunt
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
citation:
  ama: Hunt BR, Kaloshin V. How projections affect the dimension spectrum of fractal
    measures. <i>Nonlinearity</i>. 1997;10(5):1031-1046. doi:<a href="https://doi.org/10.1088/0951-7715/10/5/002">10.1088/0951-7715/10/5/002</a>
  apa: Hunt, B. R., &#38; Kaloshin, V. (1997). How projections affect the dimension
    spectrum of fractal measures. <i>Nonlinearity</i>. IOP Publishing. <a href="https://doi.org/10.1088/0951-7715/10/5/002">https://doi.org/10.1088/0951-7715/10/5/002</a>
  chicago: Hunt, Brian R, and Vadim Kaloshin. “How Projections Affect the Dimension
    Spectrum of Fractal Measures.” <i>Nonlinearity</i>. IOP Publishing, 1997. <a href="https://doi.org/10.1088/0951-7715/10/5/002">https://doi.org/10.1088/0951-7715/10/5/002</a>.
  ieee: B. R. Hunt and V. Kaloshin, “How projections affect the dimension spectrum
    of fractal measures,” <i>Nonlinearity</i>, vol. 10, no. 5. IOP Publishing, pp.
    1031–1046, 1997.
  ista: Hunt BR, Kaloshin V. 1997. How projections affect the dimension spectrum of
    fractal measures. Nonlinearity. 10(5), 1031–1046.
  mla: Hunt, Brian R., and Vadim Kaloshin. “How Projections Affect the Dimension Spectrum
    of Fractal Measures.” <i>Nonlinearity</i>, vol. 10, no. 5, IOP Publishing, 1997,
    pp. 1031–46, doi:<a href="https://doi.org/10.1088/0951-7715/10/5/002">10.1088/0951-7715/10/5/002</a>.
  short: B.R. Hunt, V. Kaloshin, Nonlinearity 10 (1997) 1031–1046.
date_created: 2020-09-18T10:50:41Z
date_published: 1997-06-19T00:00:00Z
date_updated: 2021-01-12T08:19:53Z
day: '19'
doi: 10.1088/0951-7715/10/5/002
extern: '1'
intvolume: '        10'
issue: '5'
keyword:
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '06'
oa_version: None
page: 1031-1046
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
status: public
title: How projections affect the dimension spectrum of fractal measures
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10
year: '1997'
...
