---
_id: '7272'
abstract:
- lang: eng
  text: "Many systems rely on optimistic concurrent search trees for multi-core scalability.
    In principle, optimistic trees have a simple performance story: searches are read-only
    and so run in parallel, with writes to shared memory occurring only when modifying
    the data structure. However, this paper shows that in practice, obtaining the
    full performance benefits of optimistic search trees is not so simple.\r\n\r\nWe
    focus on optimistic binary search trees (BSTs) and perform a detailed performance
    analysis of 10 state-of-the-art BSTs on large scale x86-64 hardware, using both
    microbenchmarks and an in-memory database system. We find and explain significant
    unexpected performance differences between BSTs with similar tree structure and
    search implementations, which we trace to subtle performance-degrading interactions
    of BSTs with systems software and hardware subsystems. We further derive a prescriptive
    approach to avoid this performance degradation, as well as algorithmic insights
    on optimistic BST design. Our work underlines the gap between the theory and practice
    of multi-core performance, and calls for further research to help bridge this
    gap."
article_processing_charge: No
author:
- first_name: Maya
  full_name: Arbel-Raviv, Maya
  last_name: Arbel-Raviv
- first_name: Trevor A
  full_name: Brown, Trevor A
  id: 3569F0A0-F248-11E8-B48F-1D18A9856A87
  last_name: Brown
- first_name: Adam
  full_name: Morrison, Adam
  last_name: Morrison
citation:
  ama: 'Arbel-Raviv M, Brown TA, Morrison A. Getting to the root of concurrent binary
    search tree performance. In: <i>Proceedings of the 2018 USENIX Annual Technical
    Conference</i>. USENIX Association; 2020:295-306.'
  apa: 'Arbel-Raviv, M., Brown, T. A., &#38; Morrison, A. (2020). Getting to the root
    of concurrent binary search tree performance. In <i>Proceedings of the 2018 USENIX
    Annual Technical Conference</i> (pp. 295–306). Boston, MA, United States: USENIX
    Association.'
  chicago: Arbel-Raviv, Maya, Trevor A Brown, and Adam Morrison. “Getting to the Root
    of Concurrent Binary Search Tree Performance.” In <i>Proceedings of the 2018 USENIX
    Annual Technical Conference</i>, 295–306. USENIX Association, 2020.
  ieee: M. Arbel-Raviv, T. A. Brown, and A. Morrison, “Getting to the root of concurrent
    binary search tree performance,” in <i>Proceedings of the 2018 USENIX Annual Technical
    Conference</i>, Boston, MA, United States, 2020, pp. 295–306.
  ista: 'Arbel-Raviv M, Brown TA, Morrison A. 2020. Getting to the root of concurrent
    binary search tree performance. Proceedings of the 2018 USENIX Annual Technical
    Conference. USENIX: Annual Technical Conference, 295–306.'
  mla: Arbel-Raviv, Maya, et al. “Getting to the Root of Concurrent Binary Search
    Tree Performance.” <i>Proceedings of the 2018 USENIX Annual Technical Conference</i>,
    USENIX Association, 2020, pp. 295–306.
  short: M. Arbel-Raviv, T.A. Brown, A. Morrison, in:, Proceedings of the 2018 USENIX
    Annual Technical Conference, USENIX Association, 2020, pp. 295–306.
conference:
  end_date: 2018-07-13
  location: Boston, MA, United States
  name: 'USENIX: Annual Technical Conference'
  start_date: 2018-07-11
date_created: 2020-01-14T07:27:08Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2021-01-11T15:25:48Z
day: '01'
ddc:
- '000'
department:
- _id: DaAl
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.usenix.org/system/files/conference/atc18/atc18-arbel-raviv.pdf
month: '01'
oa: 1
oa_version: Published Version
page: 295-306
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication: Proceedings of the 2018 USENIX Annual Technical Conference
publication_identifier:
  isbn:
  - '9781939133021'
publication_status: published
publisher: USENIX Association
quality_controlled: '1'
scopus_import: '1'
status: public
title: Getting to the root of concurrent binary search tree performance
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '85'
abstract:
- lang: eng
  text: Concurrent accesses to shared data structures must be synchronized to avoid
    data races. Coarse-grained synchronization, which locks the entire data structure,
    is easy to implement but does not scale. Fine-grained synchronization can scale
    well, but can be hard to reason about. Hand-over-hand locking, in which operations
    are pipelined as they traverse the data structure, combines fine-grained synchronization
    with ease of use. However, the traditional implementation suffers from inherent
    overheads. This paper introduces snapshot-based synchronization (SBS), a novel
    hand-over-hand locking mechanism. SBS decouples the synchronization state from
    the data, significantly improving cache utilization. Further, it relies on guarantees
    provided by pipelining to minimize synchronization that requires cross-thread
    communication. Snapshot-based synchronization thus scales much better than traditional
    hand-over-hand locking, while maintaining the same ease of use.
acknowledgement: Trevor Brown was supported in part by the ISF (grants 2005/17 & 1749/14)
  and by a NSERC post-doctoral fellowship.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Eran
  full_name: Gilad, Eran
  last_name: Gilad
- first_name: Trevor A
  full_name: Brown, Trevor A
  id: 3569F0A0-F248-11E8-B48F-1D18A9856A87
  last_name: Brown
- first_name: Mark
  full_name: Oskin, Mark
  last_name: Oskin
- first_name: Yoav
  full_name: Etsion, Yoav
  last_name: Etsion
citation:
  ama: 'Gilad E, Brown TA, Oskin M, Etsion Y. Snapshot based synchronization: A fast
    replacement for Hand-over-Hand locking. In: Vol 11014. Springer; 2018:465-479.
    doi:<a href="https://doi.org/10.1007/978-3-319-96983-1_33">10.1007/978-3-319-96983-1_33</a>'
  apa: 'Gilad, E., Brown, T. A., Oskin, M., &#38; Etsion, Y. (2018). Snapshot based
    synchronization: A fast replacement for Hand-over-Hand locking (Vol. 11014, pp.
    465–479). Presented at the Euro-Par: European Conference on Parallel Processing,
    Turin, Italy: Springer. <a href="https://doi.org/10.1007/978-3-319-96983-1_33">https://doi.org/10.1007/978-3-319-96983-1_33</a>'
  chicago: 'Gilad, Eran, Trevor A Brown, Mark Oskin, and Yoav Etsion. “Snapshot Based
    Synchronization: A Fast Replacement for Hand-over-Hand Locking,” 11014:465–79.
    Springer, 2018. <a href="https://doi.org/10.1007/978-3-319-96983-1_33">https://doi.org/10.1007/978-3-319-96983-1_33</a>.'
  ieee: 'E. Gilad, T. A. Brown, M. Oskin, and Y. Etsion, “Snapshot based synchronization:
    A fast replacement for Hand-over-Hand locking,” presented at the Euro-Par: European
    Conference on Parallel Processing, Turin, Italy, 2018, vol. 11014, pp. 465–479.'
  ista: 'Gilad E, Brown TA, Oskin M, Etsion Y. 2018. Snapshot based synchronization:
    A fast replacement for Hand-over-Hand locking. Euro-Par: European Conference on
    Parallel Processing, LNCS, vol. 11014, 465–479.'
  mla: 'Gilad, Eran, et al. <i>Snapshot Based Synchronization: A Fast Replacement
    for Hand-over-Hand Locking</i>. Vol. 11014, Springer, 2018, pp. 465–79, doi:<a
    href="https://doi.org/10.1007/978-3-319-96983-1_33">10.1007/978-3-319-96983-1_33</a>.'
  short: E. Gilad, T.A. Brown, M. Oskin, Y. Etsion, in:, Springer, 2018, pp. 465–479.
conference:
  end_date: 2018-08-31
  location: Turin, Italy
  name: 'Euro-Par: European Conference on Parallel Processing'
  start_date: 2018-08-27
date_created: 2018-12-11T11:44:33Z
date_published: 2018-08-01T00:00:00Z
date_updated: 2023-09-18T09:32:36Z
day: '01'
ddc:
- '000'
department:
- _id: DaAl
doi: 10.1007/978-3-319-96983-1_33
external_id:
  isi:
  - '000851042300031'
file:
- access_level: open_access
  checksum: 13a3f250be8878405e791b53c19722ad
  content_type: application/pdf
  creator: dernst
  date_created: 2019-02-12T07:40:40Z
  date_updated: 2020-07-14T12:48:14Z
  file_id: '5954'
  file_name: 2018_Brown.pdf
  file_size: 665372
  relation: main_file
file_date_updated: 2020-07-14T12:48:14Z
has_accepted_license: '1'
intvolume: '     11014'
isi: 1
language:
- iso: eng
month: '08'
oa: 1
oa_version: Preprint
page: 465 - 479
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication_identifier:
  issn:
  - '03029743'
publication_status: published
publisher: Springer
publist_id: '7969'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Snapshot based synchronization: A fast replacement for Hand-over-Hand locking'
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 11014
year: '2018'
...
---
_id: '1880'
abstract:
- lang: eng
  text: We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity
    in the ground state of a one-dimensional model of interacting bosons in a strong
    random potential. We prove rigorously that in a certain parameter regime the superfluid
    fraction can be arbitrarily small while complete BEC prevails. In another regime
    there is both complete BEC and complete superfluidity, despite the strong disorder
acknowledgement: Support from the Natural Sciences and Engineering Research Council
  of Canada NSERC (MK and RS) and from the Austrian Science Fund FWF (JY, under project
  P 22929-N16) is gratefully acknowledged
article_number: '013022'
author:
- first_name: Martin
  full_name: Könenberg, Martin
  last_name: Könenberg
- first_name: Thomas
  full_name: Moser, Thomas
  id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
  last_name: Moser
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jakob
  full_name: Yngvason, Jakob
  last_name: Yngvason
citation:
  ama: Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluid behavior of a Bose-Einstein
    condensate in a random potential. <i>New Journal of Physics</i>. 2015;17. doi:<a
    href="https://doi.org/10.1088/1367-2630/17/1/013022">10.1088/1367-2630/17/1/013022</a>
  apa: Könenberg, M., Moser, T., Seiringer, R., &#38; Yngvason, J. (2015). Superfluid
    behavior of a Bose-Einstein condensate in a random potential. <i>New Journal of
    Physics</i>. IOP Publishing Ltd. <a href="https://doi.org/10.1088/1367-2630/17/1/013022">https://doi.org/10.1088/1367-2630/17/1/013022</a>
  chicago: Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason.
    “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” <i>New
    Journal of Physics</i>. IOP Publishing Ltd., 2015. <a href="https://doi.org/10.1088/1367-2630/17/1/013022">https://doi.org/10.1088/1367-2630/17/1/013022</a>.
  ieee: M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluid behavior
    of a Bose-Einstein condensate in a random potential,” <i>New Journal of Physics</i>,
    vol. 17. IOP Publishing Ltd., 2015.
  ista: Könenberg M, Moser T, Seiringer R, Yngvason J. 2015. Superfluid behavior of
    a Bose-Einstein condensate in a random potential. New Journal of Physics. 17,
    013022.
  mla: Könenberg, Martin, et al. “Superfluid Behavior of a Bose-Einstein Condensate
    in a Random Potential.” <i>New Journal of Physics</i>, vol. 17, 013022, IOP Publishing
    Ltd., 2015, doi:<a href="https://doi.org/10.1088/1367-2630/17/1/013022">10.1088/1367-2630/17/1/013022</a>.
  short: M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics
    17 (2015).
date_created: 2018-12-11T11:54:30Z
date_published: 2015-01-15T00:00:00Z
date_updated: 2021-01-12T06:53:48Z
day: '15'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1088/1367-2630/17/1/013022
file:
- access_level: open_access
  checksum: 38fdf2b5ac30445e26a5d613abd84b16
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:12:44Z
  date_updated: 2020-07-14T12:45:20Z
  file_id: '4963'
  file_name: IST-2016-447-v1+1_document_1_.pdf
  file_size: 768108
  relation: main_file
file_date_updated: 2020-07-14T12:45:20Z
has_accepted_license: '1'
intvolume: '        17'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication: New Journal of Physics
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '5214'
pubrep_id: '447'
quality_controlled: '1'
scopus_import: 1
status: public
title: Superfluid behavior of a Bose-Einstein condensate in a random potential
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2015'
...
---
_id: '1573'
abstract:
- lang: eng
  text: We present a new, simpler proof of the unconditional uniqueness of solutions
    to the cubic Gross-Pitaevskii hierarchy in ℝ3. One of the main tools in our analysis
    is the quantum de Finetti theorem. Our uniqueness result is equivalent to the
    one established in the celebrated works of Erdos, Schlein, and Yau.
author:
- first_name: Thomas
  full_name: Chen, Thomas
  last_name: Chen
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Nataša
  full_name: Pavlović, Nataša
  last_name: Pavlović
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Chen T, Hainzl C, Pavlović N, Seiringer R. Unconditional uniqueness for the
    cubic gross pitaevskii hierarchy via quantum de finetti. <i>Communications on
    Pure and Applied Mathematics</i>. 2015;68(10):1845-1884. doi:<a href="https://doi.org/10.1002/cpa.21552">10.1002/cpa.21552</a>
  apa: Chen, T., Hainzl, C., Pavlović, N., &#38; Seiringer, R. (2015). Unconditional
    uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. <i>Communications
    on Pure and Applied Mathematics</i>. Wiley. <a href="https://doi.org/10.1002/cpa.21552">https://doi.org/10.1002/cpa.21552</a>
  chicago: Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer.
    “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum
    de Finetti.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2015.
    <a href="https://doi.org/10.1002/cpa.21552">https://doi.org/10.1002/cpa.21552</a>.
  ieee: T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness
    for the cubic gross pitaevskii hierarchy via quantum de finetti,” <i>Communications
    on Pure and Applied Mathematics</i>, vol. 68, no. 10. Wiley, pp. 1845–1884, 2015.
  ista: Chen T, Hainzl C, Pavlović N, Seiringer R. 2015. Unconditional uniqueness
    for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications
    on Pure and Applied Mathematics. 68(10), 1845–1884.
  mla: Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii
    Hierarchy via Quantum de Finetti.” <i>Communications on Pure and Applied Mathematics</i>,
    vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:<a href="https://doi.org/10.1002/cpa.21552">10.1002/cpa.21552</a>.
  short: T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and
    Applied Mathematics 68 (2015) 1845–1884.
date_created: 2018-12-11T11:52:48Z
date_published: 2015-10-01T00:00:00Z
date_updated: 2021-01-12T06:51:41Z
day: '01'
department:
- _id: RoSe
doi: 10.1002/cpa.21552
intvolume: '        68'
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1307.3168
month: '10'
oa: 1
oa_version: Preprint
page: 1845 - 1884
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication: Communications on Pure and Applied Mathematics
publication_status: published
publisher: Wiley
publist_id: '5598'
quality_controlled: '1'
scopus_import: 1
status: public
title: Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum
  de finetti
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 68
year: '2015'
...
---
_id: '1821'
abstract:
- lang: eng
  text: We review recent progress towards a rigorous understanding of the Bogoliubov
    approximation for bosonic quantum many-body systems. We focus, in particular,
    on the excitation spectrum of a Bose gas in the mean-field (Hartree) limit. A
    list of open problems will be discussed at the end.
article_number: '1.4881536'
author:
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Seiringer R. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation.
    <i>Journal of Mathematical Physics</i>. 2014;55(7). doi:<a href="https://doi.org/10.1063/1.4881536">10.1063/1.4881536</a>
  apa: Seiringer, R. (2014). Bose gases, Bose-Einstein condensation, and the Bogoliubov
    approximation. <i>Journal of Mathematical Physics</i>. American Institute of Physics.
    <a href="https://doi.org/10.1063/1.4881536">https://doi.org/10.1063/1.4881536</a>
  chicago: Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov
    Approximation.” <i>Journal of Mathematical Physics</i>. American Institute of
    Physics, 2014. <a href="https://doi.org/10.1063/1.4881536">https://doi.org/10.1063/1.4881536</a>.
  ieee: R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov
    approximation,” <i>Journal of Mathematical Physics</i>, vol. 55, no. 7. American
    Institute of Physics, 2014.
  ista: Seiringer R. 2014. Bose gases, Bose-Einstein condensation, and the Bogoliubov
    approximation. Journal of Mathematical Physics. 55(7), 1.4881536.
  mla: Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov
    Approximation.” <i>Journal of Mathematical Physics</i>, vol. 55, no. 7, 1.4881536,
    American Institute of Physics, 2014, doi:<a href="https://doi.org/10.1063/1.4881536">10.1063/1.4881536</a>.
  short: R. Seiringer, Journal of Mathematical Physics 55 (2014).
date_created: 2018-12-11T11:54:11Z
date_published: 2014-06-26T00:00:00Z
date_updated: 2021-01-12T06:53:25Z
day: '26'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1063/1.4881536
file:
- access_level: open_access
  checksum: ed0efc93c10f1341155f0316af617b82
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:49Z
  date_updated: 2020-07-14T12:45:17Z
  file_id: '5172'
  file_name: IST-2016-532-v1+1_J._Mathematical_Phys._2014_Seiringer.pdf
  file_size: 269171
  relation: main_file
file_date_updated: 2020-07-14T12:45:17Z
has_accepted_license: '1'
intvolume: '        55'
issue: '7'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '5285'
pubrep_id: '532'
quality_controlled: '1'
scopus_import: 1
status: public
title: Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 55
year: '2014'
...
---
_id: '1904'
abstract:
- lang: eng
  text: We prove a Strichartz inequality for a system of orthonormal functions, with
    an optimal behavior of the constant in the limit of a large number of functions.
    The estimate generalizes the usual Strichartz inequality, in the same fashion
    as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application,
    we consider the Schrödinger equation with a time-dependent potential and we show
    the existence of the wave operator in Schatten spaces.
author:
- first_name: Rupert
  full_name: Frank, Rupert
  last_name: Frank
- first_name: Mathieu
  full_name: Lewin, Mathieu
  last_name: Lewin
- first_name: Élliott
  full_name: Lieb, Élliott
  last_name: Lieb
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Frank R, Lewin M, Lieb É, Seiringer R. Strichartz inequality for orthonormal
    functions. <i>Journal of the European Mathematical Society</i>. 2014;16(7):1507-1526.
    doi:<a href="https://doi.org/10.4171/JEMS/467">10.4171/JEMS/467</a>
  apa: Frank, R., Lewin, M., Lieb, É., &#38; Seiringer, R. (2014). Strichartz inequality
    for orthonormal functions. <i>Journal of the European Mathematical Society</i>.
    European Mathematical Society. <a href="https://doi.org/10.4171/JEMS/467">https://doi.org/10.4171/JEMS/467</a>
  chicago: Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz
    Inequality for Orthonormal Functions.” <i>Journal of the European Mathematical
    Society</i>. European Mathematical Society, 2014. <a href="https://doi.org/10.4171/JEMS/467">https://doi.org/10.4171/JEMS/467</a>.
  ieee: R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for
    orthonormal functions,” <i>Journal of the European Mathematical Society</i>, vol.
    16, no. 7. European Mathematical Society, pp. 1507–1526, 2014.
  ista: Frank R, Lewin M, Lieb É, Seiringer R. 2014. Strichartz inequality for orthonormal
    functions. Journal of the European Mathematical Society. 16(7), 1507–1526.
  mla: Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” <i>Journal
    of the European Mathematical Society</i>, vol. 16, no. 7, European Mathematical
    Society, 2014, pp. 1507–26, doi:<a href="https://doi.org/10.4171/JEMS/467">10.4171/JEMS/467</a>.
  short: R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical
    Society 16 (2014) 1507–1526.
date_created: 2018-12-11T11:54:38Z
date_published: 2014-08-23T00:00:00Z
date_updated: 2021-01-12T06:53:58Z
day: '23'
department:
- _id: RoSe
doi: 10.4171/JEMS/467
intvolume: '        16'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1306.1309
month: '08'
oa: 1
oa_version: Submitted Version
page: 1507 - 1526
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication: Journal of the European Mathematical Society
publication_status: published
publisher: European Mathematical Society
publist_id: '5191'
quality_controlled: '1'
scopus_import: 1
status: public
title: Strichartz inequality for orthonormal functions
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2014'
...
---
_id: '1918'
abstract:
- lang: eng
  text: As the nuclear charge Z is continuously decreased an N-electron atom undergoes
    a binding-unbinding transition. We investigate whether the electrons remain bound
    and whether the radius of the system stays finite as the critical value Zc is
    approached. Existence of a ground state at Zc is shown under the condition Zc
    &lt; N-K, where K is the maximal number of electrons that can be removed at Zc
    without changing the energy.
article_number: '1350021'
author:
- first_name: Jacopo
  full_name: Bellazzini, Jacopo
  last_name: Bellazzini
- first_name: Rupert
  full_name: Frank, Rupert
  last_name: Frank
- first_name: Élliott
  full_name: Lieb, Élliott
  last_name: Lieb
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for
    negative ions at the binding threshold. <i>Reviews in Mathematical Physics</i>.
    2014;26(1). doi:<a href="https://doi.org/10.1142/S0129055X13500219">10.1142/S0129055X13500219</a>
  apa: Bellazzini, J., Frank, R., Lieb, É., &#38; Seiringer, R. (2014). Existence
    of ground states for negative ions at the binding threshold. <i>Reviews in Mathematical
    Physics</i>. World Scientific Publishing. <a href="https://doi.org/10.1142/S0129055X13500219">https://doi.org/10.1142/S0129055X13500219</a>
  chicago: Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence
    of Ground States for Negative Ions at the Binding Threshold.” <i>Reviews in Mathematical
    Physics</i>. World Scientific Publishing, 2014. <a href="https://doi.org/10.1142/S0129055X13500219">https://doi.org/10.1142/S0129055X13500219</a>.
  ieee: J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states
    for negative ions at the binding threshold,” <i>Reviews in Mathematical Physics</i>,
    vol. 26, no. 1. World Scientific Publishing, 2014.
  ista: Bellazzini J, Frank R, Lieb É, Seiringer R. 2014. Existence of ground states
    for negative ions at the binding threshold. Reviews in Mathematical Physics. 26(1),
    1350021.
  mla: Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at
    the Binding Threshold.” <i>Reviews in Mathematical Physics</i>, vol. 26, no. 1,
    1350021, World Scientific Publishing, 2014, doi:<a href="https://doi.org/10.1142/S0129055X13500219">10.1142/S0129055X13500219</a>.
  short: J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics
    26 (2014).
date_created: 2018-12-11T11:54:42Z
date_published: 2014-02-01T00:00:00Z
date_updated: 2021-01-12T06:54:04Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/S0129055X13500219
intvolume: '        26'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1301.5370
month: '02'
oa: 1
oa_version: Submitted Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '5176'
quality_controlled: '1'
scopus_import: 1
status: public
title: Existence of ground states for negative ions at the binding threshold
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 26
year: '2014'
...
---
_id: '1926'
abstract:
- lang: eng
  text: We consider cross products of finite graphs with a class of trees that have
    arbitrarily but finitely long line segments, such as the Fibonacci tree. Such
    cross products are called tree-strips. We prove that for small disorder random
    Schrödinger operators on such tree-strips have purely absolutely continuous spectrum
    in a certain set.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Christian
  full_name: Sadel, Christian
  id: 4760E9F8-F248-11E8-B48F-1D18A9856A87
  last_name: Sadel
  orcid: 0000-0001-8255-3968
citation:
  ama: Sadel C. Absolutely continuous spectrum for random Schrödinger operators on
    the Fibonacci and similar Tree-strips. <i>Mathematical Physics, Analysis and Geometry</i>.
    2014;17(3-4):409-440. doi:<a href="https://doi.org/10.1007/s11040-014-9163-4">10.1007/s11040-014-9163-4</a>
  apa: Sadel, C. (2014). Absolutely continuous spectrum for random Schrödinger operators
    on the Fibonacci and similar Tree-strips. <i>Mathematical Physics, Analysis and
    Geometry</i>. Springer. <a href="https://doi.org/10.1007/s11040-014-9163-4">https://doi.org/10.1007/s11040-014-9163-4</a>
  chicago: Sadel, Christian. “Absolutely Continuous Spectrum for Random Schrödinger
    Operators on the Fibonacci and Similar Tree-Strips.” <i>Mathematical Physics,
    Analysis and Geometry</i>. Springer, 2014. <a href="https://doi.org/10.1007/s11040-014-9163-4">https://doi.org/10.1007/s11040-014-9163-4</a>.
  ieee: C. Sadel, “Absolutely continuous spectrum for random Schrödinger operators
    on the Fibonacci and similar Tree-strips,” <i>Mathematical Physics, Analysis and
    Geometry</i>, vol. 17, no. 3–4. Springer, pp. 409–440, 2014.
  ista: Sadel C. 2014. Absolutely continuous spectrum for random Schrödinger operators
    on the Fibonacci and similar Tree-strips. Mathematical Physics, Analysis and Geometry.
    17(3–4), 409–440.
  mla: Sadel, Christian. “Absolutely Continuous Spectrum for Random Schrödinger Operators
    on the Fibonacci and Similar Tree-Strips.” <i>Mathematical Physics, Analysis and
    Geometry</i>, vol. 17, no. 3–4, Springer, 2014, pp. 409–40, doi:<a href="https://doi.org/10.1007/s11040-014-9163-4">10.1007/s11040-014-9163-4</a>.
  short: C. Sadel, Mathematical Physics, Analysis and Geometry 17 (2014) 409–440.
date_created: 2018-12-11T11:54:45Z
date_published: 2014-12-17T00:00:00Z
date_updated: 2021-01-12T06:54:07Z
day: '17'
department:
- _id: LaEr
doi: 10.1007/s11040-014-9163-4
ec_funded: 1
external_id:
  arxiv:
  - '1304.3862'
intvolume: '        17'
issue: 3-4
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1304.3862
month: '12'
oa: 1
oa_version: Preprint
page: 409 - 440
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication: Mathematical Physics, Analysis and Geometry
publication_status: published
publisher: Springer
publist_id: '5168'
quality_controlled: '1'
scopus_import: 1
status: public
title: Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci
  and similar Tree-strips
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2014'
...
---
_id: '2186'
abstract:
- lang: eng
  text: We prove the existence of scattering states for the defocusing cubic Gross-Pitaevskii
    (GP) hierarchy in ℝ3. Moreover, we show that an exponential energy growth condition
    commonly used in the well-posedness theory of the GP hierarchy is, in a specific
    sense, necessary. In fact, we prove that without the latter, there exist initial
    data for the focusing cubic GP hierarchy for which instantaneous blowup occurs.
author:
- first_name: Thomas
  full_name: Chen, Thomas
  last_name: Chen
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Nataša
  full_name: Pavlović, Nataša
  last_name: Pavlović
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Chen T, Hainzl C, Pavlović N, Seiringer R. On the well-posedness and scattering
    for the Gross-Pitaevskii hierarchy via quantum de Finetti. <i>Letters in Mathematical
    Physics</i>. 2014;104(7):871-891. doi:<a href="https://doi.org/10.1007/s11005-014-0693-2">10.1007/s11005-014-0693-2</a>
  apa: Chen, T., Hainzl, C., Pavlović, N., &#38; Seiringer, R. (2014). On the well-posedness
    and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. <i>Letters
    in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s11005-014-0693-2">https://doi.org/10.1007/s11005-014-0693-2</a>
  chicago: Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer.
    “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum
    de Finetti.” <i>Letters in Mathematical Physics</i>. Springer, 2014. <a href="https://doi.org/10.1007/s11005-014-0693-2">https://doi.org/10.1007/s11005-014-0693-2</a>.
  ieee: T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “On the well-posedness
    and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti,” <i>Letters
    in Mathematical Physics</i>, vol. 104, no. 7. Springer, pp. 871–891, 2014.
  ista: Chen T, Hainzl C, Pavlović N, Seiringer R. 2014. On the well-posedness and
    scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters
    in Mathematical Physics. 104(7), 871–891.
  mla: Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii
    Hierarchy via Quantum de Finetti.” <i>Letters in Mathematical Physics</i>, vol.
    104, no. 7, Springer, 2014, pp. 871–91, doi:<a href="https://doi.org/10.1007/s11005-014-0693-2">10.1007/s11005-014-0693-2</a>.
  short: T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics
    104 (2014) 871–891.
date_created: 2018-12-11T11:56:12Z
date_published: 2014-05-07T00:00:00Z
date_updated: 2021-01-12T06:55:51Z
day: '07'
department:
- _id: RoSe
doi: 10.1007/s11005-014-0693-2
intvolume: '       104'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1311.2136
month: '05'
oa: 1
oa_version: Submitted Version
page: 871 - 891
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4793'
quality_controlled: '1'
scopus_import: 1
status: public
title: On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via
  quantum de Finetti
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 104
year: '2014'
...
---
_id: '2407'
abstract:
- lang: eng
  text: 'Two definitions of the effective mass of a particle interacting with a quantum
    field, such as a polaron, are considered and shown to be equal in models similar
    to the Fröhlich polaron model. These are: 1. the mass defined by the low momentum
    energy E(P)≈E(0)+P2/2 M of the translation invariant system constrained to have
    momentum P and 2. the mass M of a simple particle in an arbitrary slowly varying
    external potential, V, described by the nonrelativistic Schrödinger equation,
    whose ground state energy equals that of the combined particle/field system in
    a bound state in the same V.'
author:
- first_name: Élliott
  full_name: Lieb, Élliott
  last_name: Lieb
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Lieb É, Seiringer R. Equivalence of two definitions of the effective mass of
    a polaron. <i>Journal of Statistical Physics</i>. 2014;154(1-2):51-57. doi:<a
    href="https://doi.org/10.1007/s10955-013-0791-z">10.1007/s10955-013-0791-z</a>
  apa: Lieb, É., &#38; Seiringer, R. (2014). Equivalence of two definitions of the
    effective mass of a polaron. <i>Journal of Statistical Physics</i>. Springer.
    <a href="https://doi.org/10.1007/s10955-013-0791-z">https://doi.org/10.1007/s10955-013-0791-z</a>
  chicago: Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of
    the Effective Mass of a Polaron.” <i>Journal of Statistical Physics</i>. Springer,
    2014. <a href="https://doi.org/10.1007/s10955-013-0791-z">https://doi.org/10.1007/s10955-013-0791-z</a>.
  ieee: É. Lieb and R. Seiringer, “Equivalence of two definitions of the effective
    mass of a polaron,” <i>Journal of Statistical Physics</i>, vol. 154, no. 1–2.
    Springer, pp. 51–57, 2014.
  ista: Lieb É, Seiringer R. 2014. Equivalence of two definitions of the effective
    mass of a polaron. Journal of Statistical Physics. 154(1–2), 51–57.
  mla: Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the
    Effective Mass of a Polaron.” <i>Journal of Statistical Physics</i>, vol. 154,
    no. 1–2, Springer, 2014, pp. 51–57, doi:<a href="https://doi.org/10.1007/s10955-013-0791-z">10.1007/s10955-013-0791-z</a>.
  short: É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
date_created: 2018-12-11T11:57:29Z
date_published: 2014-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:18Z
day: '01'
doi: 10.1007/s10955-013-0791-z
extern: '1'
intvolume: '       154'
issue: 1-2
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1304.1780
month: '01'
oa: 1
oa_version: Submitted Version
page: 51 - 57
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4519'
quality_controlled: '1'
status: public
title: Equivalence of two definitions of the effective mass of a polaron
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 154
year: '2014'
...