---
_id: '3142'
abstract:
- lang: eng
  text: Assembly of neuronal circuits is controlled by the sequential acquisition
    of neuronal subpopulation-specific identities at progressive developmental steps.
    Whereas neuronal features involved in initial phases of differentiation are already
    established at cell-cycle exit, recent findings, based mainly on work in the peripheral
    nervous system, suggest that the timely integration of signals encountered en
    route to targets and from the target region itself is essential to control late
    steps in connectivity. As neurons project towards their targets they require target-derived
    signals to establish mature axonal projections and acquire neuronal traits such
    as the expression of distinct combinations of neurotransmitters. Recent evidence
    presented in this review shows that this principle, of a signaling interplay between
    target-derived signals and neuronal cell bodies, is often mediated through transcriptional
    events and is evolutionarily conserved.
author:
- first_name: Simon
  full_name: Simon Hippenmeyer
  id: 37B36620-F248-11E8-B48F-1D18A9856A87
  last_name: Hippenmeyer
  orcid: 0000-0003-2279-1061
- first_name: Ina
  full_name: Kramer, Ina
  last_name: Kramer
- first_name: Silvia
  full_name: Arber, Silvia
  last_name: Arber
citation:
  ama: 'Hippenmeyer S, Kramer I, Arber S. Control of neuronal phenotype: What targets
    tell the cell bodies. <i>Trends in Neurosciences</i>. 2004;27(8):482-488. doi:<a
    href="https://doi.org/10.1016/j.tins.2004.05.012">10.1016/j.tins.2004.05.012</a>'
  apa: 'Hippenmeyer, S., Kramer, I., &#38; Arber, S. (2004). Control of neuronal phenotype:
    What targets tell the cell bodies. <i>Trends in Neurosciences</i>. Elsevier. <a
    href="https://doi.org/10.1016/j.tins.2004.05.012">https://doi.org/10.1016/j.tins.2004.05.012</a>'
  chicago: 'Hippenmeyer, Simon, Ina Kramer, and Silvia Arber. “Control of Neuronal
    Phenotype: What Targets Tell the Cell Bodies.” <i>Trends in Neurosciences</i>.
    Elsevier, 2004. <a href="https://doi.org/10.1016/j.tins.2004.05.012">https://doi.org/10.1016/j.tins.2004.05.012</a>.'
  ieee: 'S. Hippenmeyer, I. Kramer, and S. Arber, “Control of neuronal phenotype:
    What targets tell the cell bodies,” <i>Trends in Neurosciences</i>, vol. 27, no.
    8. Elsevier, pp. 482–488, 2004.'
  ista: 'Hippenmeyer S, Kramer I, Arber S. 2004. Control of neuronal phenotype: What
    targets tell the cell bodies. Trends in Neurosciences. 27(8), 482–488.'
  mla: 'Hippenmeyer, Simon, et al. “Control of Neuronal Phenotype: What Targets Tell
    the Cell Bodies.” <i>Trends in Neurosciences</i>, vol. 27, no. 8, Elsevier, 2004,
    pp. 482–88, doi:<a href="https://doi.org/10.1016/j.tins.2004.05.012">10.1016/j.tins.2004.05.012</a>.'
  short: S. Hippenmeyer, I. Kramer, S. Arber, Trends in Neurosciences 27 (2004) 482–488.
date_created: 2018-12-11T12:01:38Z
date_published: 2004-08-01T00:00:00Z
date_updated: 2019-04-26T07:22:25Z
day: '01'
doi: 10.1016/j.tins.2004.05.012
extern: 1
intvolume: '        27'
issue: '8'
month: '08'
page: 482 - 488
publication: Trends in Neurosciences
publication_status: published
publisher: Elsevier
publist_id: '3555'
quality_controlled: 0
status: public
title: 'Control of neuronal phenotype: What targets tell the cell bodies'
type: review
volume: 27
year: '2004'
...
---
_id: '3172'
abstract:
- lang: eng
  text: The simultaneous multiple volume (SMV) approach in navigator-gated MRI allows
    the use of the whole motion range or the entire scan time for the reconstruction
    of final images by simultaneously acquiring different image volumes at different
    motion states. The motion tolerance range for each volume is kept small, thus
    SMV substantially increases the scan efficiency of navigator methods while maintaining
    the effectiveness of motion suppression. This article reports a general implementation
    of the SMV approach using a multiprocessor scheduling algorithm. Each motion state
    is regarded as a processor and each volume is regarded as a job. An efficient
    scheduling that completes all jobs in minimal time is maintained even when the
    motion pattern changes. Initial experiments demonstrated that SMV significantly
    increased the scan efficiency of navigatorgated MRI.
author:
- first_name: Vladimir
  full_name: Vladimir Kolmogorov
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
- first_name: Thành
  full_name: Nguyen, Thành D
  last_name: Nguyen
- first_name: Anthony
  full_name: Nuval, Anthony
  last_name: Nuval
- first_name: Pascal
  full_name: Spincemaille, Pascal
  last_name: Spincemaille
- first_name: Martin
  full_name: Prince, Martin R
  last_name: Prince
- first_name: Ramin
  full_name: Zabih, Ramin
  last_name: Zabih
- first_name: Yusu
  full_name: Wang, Yusu
  last_name: Wang
citation:
  ama: Kolmogorov V, Nguyen T, Nuval A, et al. Multiprocessor scheduling implementation
    of the simultaneous multiple volume SMV navigator method. <i>Magnetic Resonance
    in Medicine</i>. 2004;52(2):362-367. doi:<a href="https://doi.org/10.1002/mrm.20162">10.1002/mrm.20162</a>
  apa: Kolmogorov, V., Nguyen, T., Nuval, A., Spincemaille, P., Prince, M., Zabih,
    R., &#38; Wang, Y. (2004). Multiprocessor scheduling implementation of the simultaneous
    multiple volume SMV navigator method. <i>Magnetic Resonance in Medicine</i>. Wiley-Blackwell.
    <a href="https://doi.org/10.1002/mrm.20162">https://doi.org/10.1002/mrm.20162</a>
  chicago: Kolmogorov, Vladimir, Thành Nguyen, Anthony Nuval, Pascal Spincemaille,
    Martin Prince, Ramin Zabih, and Yusu Wang. “Multiprocessor Scheduling Implementation
    of the Simultaneous Multiple Volume SMV Navigator Method.” <i>Magnetic Resonance
    in Medicine</i>. Wiley-Blackwell, 2004. <a href="https://doi.org/10.1002/mrm.20162">https://doi.org/10.1002/mrm.20162</a>.
  ieee: V. Kolmogorov <i>et al.</i>, “Multiprocessor scheduling implementation of
    the simultaneous multiple volume SMV navigator method,” <i>Magnetic Resonance
    in Medicine</i>, vol. 52, no. 2. Wiley-Blackwell, pp. 362–367, 2004.
  ista: Kolmogorov V, Nguyen T, Nuval A, Spincemaille P, Prince M, Zabih R, Wang Y.
    2004. Multiprocessor scheduling implementation of the simultaneous multiple volume
    SMV navigator method. Magnetic Resonance in Medicine. 52(2), 362–367.
  mla: Kolmogorov, Vladimir, et al. “Multiprocessor Scheduling Implementation of the
    Simultaneous Multiple Volume SMV Navigator Method.” <i>Magnetic Resonance in Medicine</i>,
    vol. 52, no. 2, Wiley-Blackwell, 2004, pp. 362–67, doi:<a href="https://doi.org/10.1002/mrm.20162">10.1002/mrm.20162</a>.
  short: V. Kolmogorov, T. Nguyen, A. Nuval, P. Spincemaille, M. Prince, R. Zabih,
    Y. Wang, Magnetic Resonance in Medicine 52 (2004) 362–367.
date_created: 2018-12-11T12:01:48Z
date_published: 2004-08-01T00:00:00Z
date_updated: 2021-01-12T07:41:34Z
day: '01'
doi: 10.1002/mrm.20162
extern: 1
intvolume: '        52'
issue: '2'
month: '08'
page: 362 - 367
publication: Magnetic Resonance in Medicine
publication_status: published
publisher: Wiley-Blackwell
publist_id: '3508'
quality_controlled: 0
status: public
title: Multiprocessor scheduling implementation of the simultaneous multiple volume
  SMV navigator method
type: journal_article
volume: 52
year: '2004'
...
---
_id: '3173'
abstract:
- lang: eng
  text: In the last few years, several new algorithms based on graph cuts have been
    developed to solve energy minimization problems in computer vision. Each of these
    techniques constructs a graph such that the minimum cut on the graph also minimizes
    the energy. Yet, because these graph constructions are complex and highly specific
    to a particular energy function, graph cuts have seen limited application to date.
    In this paper, we give a characterization of the energy functions that can be
    minimized by graph cuts. Our results are restricted to functions of binary variables.
    However, our work generalizes many previous constructions and is easily applicable
    to vision problems that involve large numbers of labels, such as stereo, motion,
    image restoration, and scene reconstruction. We give a precise characterization
    of what energy functions can be minimized using graph cuts, among the energy functions
    that can be written as a sum of terms containing three or fewer binary variables.
    We also provide a general-purpose construction to minimize such an energy function.
    Finally, we give a necessary condition for any energy function of binary variables
    to be minimized by graph cuts. Researchers who are considering the use of graph
    cuts to optimize a particular energy function can use our results to determine
    if this is possible and then follow our construction to create the appropriate
    graph. A software implementation is freely available.
author:
- first_name: Vladimir
  full_name: Vladimir Kolmogorov
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
- first_name: Ramin
  full_name: Zabih, Ramin
  last_name: Zabih
citation:
  ama: Kolmogorov V, Zabih R. What energy functions can be minimized via graph cuts?
    . <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. 2004;26(2):147-159.
    doi:<a href="https://doi.org/10.1109/TPAMI.2004.1262177">10.1109/TPAMI.2004.1262177</a>
  apa: Kolmogorov, V., &#38; Zabih, R. (2004). What energy functions can be minimized
    via graph cuts? . <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>.
    IEEE. <a href="https://doi.org/10.1109/TPAMI.2004.1262177">https://doi.org/10.1109/TPAMI.2004.1262177</a>
  chicago: Kolmogorov, Vladimir, and Ramin Zabih. “What Energy Functions Can Be Minimized
    via Graph Cuts? .” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>.
    IEEE, 2004. <a href="https://doi.org/10.1109/TPAMI.2004.1262177">https://doi.org/10.1109/TPAMI.2004.1262177</a>.
  ieee: V. Kolmogorov and R. Zabih, “What energy functions can be minimized via graph
    cuts? ,” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>,
    vol. 26, no. 2. IEEE, pp. 147–159, 2004.
  ista: Kolmogorov V, Zabih R. 2004. What energy functions can be minimized via graph
    cuts? . IEEE Transactions on Pattern Analysis and Machine Intelligence. 26(2),
    147–159.
  mla: Kolmogorov, Vladimir, and Ramin Zabih. “What Energy Functions Can Be Minimized
    via Graph Cuts? .” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>,
    vol. 26, no. 2, IEEE, 2004, pp. 147–59, doi:<a href="https://doi.org/10.1109/TPAMI.2004.1262177">10.1109/TPAMI.2004.1262177</a>.
  short: V. Kolmogorov, R. Zabih, IEEE Transactions on Pattern Analysis and Machine
    Intelligence 26 (2004) 147–159.
date_created: 2018-12-11T12:01:49Z
date_published: 2004-02-01T00:00:00Z
date_updated: 2021-01-12T07:41:34Z
day: '01'
doi: 10.1109/TPAMI.2004.1262177
extern: 1
intvolume: '        26'
issue: '2'
month: '02'
page: 147 - 159
publication: IEEE Transactions on Pattern Analysis and Machine Intelligence
publication_status: published
publisher: IEEE
publist_id: '3509'
quality_controlled: 0
status: public
title: 'What energy functions can be minimized via graph cuts? '
type: journal_article
volume: 26
year: '2004'
...
---
_id: '3177'
abstract:
- lang: eng
  text: Feature space clustering is a popular approach to image segmentation, in which
    a feature vector of local properties (such as intensity, texture or motion) is
    computed at each pixel. The feature space is then clustered, and each pixel is
    labeled with the cluster that contains its feature vector. A major limitation
    of this approach is that feature space clusters generally lack spatial coherence
    (i.e., they do not correspond to a compact grouping of pixels). In this paper,
    we propose a segmentation algorithm that operates simultaneously in feature space
    and in image space. We define an energy function over both a set of clusters and
    a labeling of pixels with clusters. In our framework, a pixel is labeled with
    a single cluster (rather than, for example, a distribution over clusters). Our
    energy function penalizes clusters that are a poor fit to the data in feature
    space, and also penalizes clusters whose pixels lack spatial coherence. The energy
    function can be efficiently minimized using graph cuts. Our algorithm can incorporate
    both parametric and non-parametric clustering methods. It can be applied to many
    optimization-based clustering methods, including k-means and k-medians, and can
    handle models which are very close in feature space. Preliminary results are presented
    on segmenting real and synthetic images, using both parametric and non-parametric
    clustering.
author:
- first_name: Ramin
  full_name: Zabih, Ramin
  last_name: Zabih
- first_name: Vladimir
  full_name: Vladimir Kolmogorov
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
citation:
  ama: 'Zabih R, Kolmogorov V. Spatially coherent clustering using graph cuts. In:
    Vol 2. IEEE; 2004:437-444. doi:<a href="https://doi.org/10.1109/CVPR.2004.1315196">10.1109/CVPR.2004.1315196</a>'
  apa: 'Zabih, R., &#38; Kolmogorov, V. (2004). Spatially coherent clustering using
    graph cuts (Vol. 2, pp. 437–444). Presented at the CVPR: Computer Vision and Pattern
    Recognition, IEEE. <a href="https://doi.org/10.1109/CVPR.2004.1315196">https://doi.org/10.1109/CVPR.2004.1315196</a>'
  chicago: Zabih, Ramin, and Vladimir Kolmogorov. “Spatially Coherent Clustering Using
    Graph Cuts,” 2:437–44. IEEE, 2004. <a href="https://doi.org/10.1109/CVPR.2004.1315196">https://doi.org/10.1109/CVPR.2004.1315196</a>.
  ieee: 'R. Zabih and V. Kolmogorov, “Spatially coherent clustering using graph cuts,”
    presented at the CVPR: Computer Vision and Pattern Recognition, 2004, vol. 2,
    pp. 437–444.'
  ista: 'Zabih R, Kolmogorov V. 2004. Spatially coherent clustering using graph cuts.
    CVPR: Computer Vision and Pattern Recognition vol. 2, 437–444.'
  mla: Zabih, Ramin, and Vladimir Kolmogorov. <i>Spatially Coherent Clustering Using
    Graph Cuts</i>. Vol. 2, IEEE, 2004, pp. 437–44, doi:<a href="https://doi.org/10.1109/CVPR.2004.1315196">10.1109/CVPR.2004.1315196</a>.
  short: R. Zabih, V. Kolmogorov, in:, IEEE, 2004, pp. 437–444.
conference:
  name: 'CVPR: Computer Vision and Pattern Recognition'
date_created: 2018-12-11T12:01:50Z
date_published: 2004-06-01T00:00:00Z
date_updated: 2021-01-12T07:41:36Z
day: '01'
doi: 10.1109/CVPR.2004.1315196
extern: 1
intvolume: '         2'
month: '06'
page: 437 - 444
publication_status: published
publisher: IEEE
publist_id: '3506'
quality_controlled: 0
status: public
title: Spatially coherent clustering using graph cuts
type: conference
volume: 2
year: '2004'
...
---
_id: '3178'
abstract:
- lang: eng
  text: Minimum cut/maximum flow algorithms on graphs have emerged as an increasingly
    useful tool for exactor approximate energy minimization in low-level vision. The
    combinatorial optimization literature provides many min-cut/max-flow algorithms
    with different polynomial time complexity. Their practical efficiency, however,
    has to date been studied mainly outside the scope of computer vision. The goal
    of this paper is to provide an experimental comparison of the efficiency of min-cut/max
    flow algorithms for applications in vision. We compare the running times of several
    standard algorithms, as well as a new algorithm that we have recently developed.
    The algorithms we study include both Goldberg-Tarjan style &quot;push -relabel&quot;
    methods and algorithms based on Ford-Fulkerson style &quot;augmenting paths.&quot;
    We benchmark these algorithms on a number of typical graphs in the contexts of
    image restoration, stereo, and segmentation. In many cases, our new algorithm
    works several times faster than any of the other methods, making near real-time
    performance possible. An implementation of our max-flow/min-cut algorithm is available
    upon request for research purposes.
author:
- first_name: Yuri
  full_name: Boykov, Yuri
  last_name: Boykov
- first_name: Vladimir
  full_name: Vladimir Kolmogorov
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
citation:
  ama: Boykov Y, Kolmogorov V. An experimental comparison of min-cut/max-flow algorithms
    for energy minimization in vision. <i>IEEE Transactions on Pattern Analysis and
    Machine Intelligence</i>. 2004;26(9):1124-1137. doi:<a href="https://doi.org/10.1109/TPAMI.2004.60">10.1109/TPAMI.2004.60</a>
  apa: Boykov, Y., &#38; Kolmogorov, V. (2004). An experimental comparison of min-cut/max-flow
    algorithms for energy minimization in vision. <i>IEEE Transactions on Pattern
    Analysis and Machine Intelligence</i>. IEEE. <a href="https://doi.org/10.1109/TPAMI.2004.60">https://doi.org/10.1109/TPAMI.2004.60</a>
  chicago: Boykov, Yuri, and Vladimir Kolmogorov. “An Experimental Comparison of Min-Cut/Max-Flow
    Algorithms for Energy Minimization in Vision.” <i>IEEE Transactions on Pattern
    Analysis and Machine Intelligence</i>. IEEE, 2004. <a href="https://doi.org/10.1109/TPAMI.2004.60">https://doi.org/10.1109/TPAMI.2004.60</a>.
  ieee: Y. Boykov and V. Kolmogorov, “An experimental comparison of min-cut/max-flow
    algorithms for energy minimization in vision,” <i>IEEE Transactions on Pattern
    Analysis and Machine Intelligence</i>, vol. 26, no. 9. IEEE, pp. 1124–1137, 2004.
  ista: Boykov Y, Kolmogorov V. 2004. An experimental comparison of min-cut/max-flow
    algorithms for energy minimization in vision. IEEE Transactions on Pattern Analysis
    and Machine Intelligence. 26(9), 1124–1137.
  mla: Boykov, Yuri, and Vladimir Kolmogorov. “An Experimental Comparison of Min-Cut/Max-Flow
    Algorithms for Energy Minimization in Vision.” <i>IEEE Transactions on Pattern
    Analysis and Machine Intelligence</i>, vol. 26, no. 9, IEEE, 2004, pp. 1124–37,
    doi:<a href="https://doi.org/10.1109/TPAMI.2004.60">10.1109/TPAMI.2004.60</a>.
  short: Y. Boykov, V. Kolmogorov, IEEE Transactions on Pattern Analysis and Machine
    Intelligence 26 (2004) 1124–1137.
date_created: 2018-12-11T12:01:51Z
date_published: 2004-09-01T00:00:00Z
date_updated: 2021-01-12T07:41:36Z
day: '01'
doi: 10.1109/TPAMI.2004.60
extern: 1
intvolume: '        26'
issue: '9'
month: '09'
page: 1124 - 1137
publication: IEEE Transactions on Pattern Analysis and Machine Intelligence
publication_status: published
publisher: IEEE
publist_id: '3507'
quality_controlled: 0
status: public
title: An experimental comparison of min-cut/max-flow algorithms for energy minimization
  in vision
type: journal_article
volume: 26
year: '2004'
...
---
_id: '3179'
abstract:
- lang: eng
  text: The problem of efficient, interactive foreground/background segmentation in
    still images is of great practical importance in image editing. Classical image
    segmentation tools use either texture (colour) information, e.g. Magic Wand, or
    edge (contrast) information, e.g. Intelligent Scissors. Recently, an approach
    based on optimization by graph-cut has been developed which successfully combines
    both types of information. In this paper we extend the graph-cut approach in three
    respects. First, we have developed a more powerful, iterative version of the optimisation.
    Secondly, the power of the iterative algorithm is used to simplify substantially
    the user interaction needed for a given quality of result. Thirdly, a robust algorithm
    for &quot;border matting&quot; has been developed to estimate simultaneously the
    alpha-matte around an object boundary and the colours of foreground pixels. We
    show that for moderately difficult examples the proposed method outperforms competitive
    tools.
author:
- first_name: Carsten
  full_name: Rother, Carsten
  last_name: Rother
- first_name: Vladimir
  full_name: Vladimir Kolmogorov
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
- first_name: Andrew
  full_name: Blake, Andrew
  last_name: Blake
citation:
  ama: 'Rother C, Kolmogorov V, Blake A. &#38;quot;GrabCut&#38;quot; - Interactive
    foreground extraction using iterated graph cuts . In: Vol 23. ACM; 2004:309-314.
    doi:<a href="https://doi.org/10.1145/1015706.1015720">10.1145/1015706.1015720</a>'
  apa: 'Rother, C., Kolmogorov, V., &#38; Blake, A. (2004). &#38;quot;GrabCut&#38;quot;
    - Interactive foreground extraction using iterated graph cuts  (Vol. 23, pp. 309–314).
    Presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive
    Techniques, ACM. <a href="https://doi.org/10.1145/1015706.1015720">https://doi.org/10.1145/1015706.1015720</a>'
  chicago: Rother, Carsten, Vladimir Kolmogorov, and Andrew Blake. “&#38;quot;GrabCut&#38;quot;
    - Interactive Foreground Extraction Using Iterated Graph Cuts ,” 23:309–14. ACM,
    2004. <a href="https://doi.org/10.1145/1015706.1015720">https://doi.org/10.1145/1015706.1015720</a>.
  ieee: 'C. Rother, V. Kolmogorov, and A. Blake, “&#38;quot;GrabCut&#38;quot; - Interactive
    foreground extraction using iterated graph cuts ,” presented at the SIGGRAPH:
    Special Interest Group on Computer Graphics and Interactive Techniques, 2004,
    vol. 23, no. 3, pp. 309–314.'
  ista: 'Rother C, Kolmogorov V, Blake A. 2004. &#38;quot;GrabCut&#38;quot; - Interactive
    foreground extraction using iterated graph cuts . SIGGRAPH: Special Interest Group
    on Computer Graphics and Interactive Techniques vol. 23, 309–314.'
  mla: Rother, Carsten, et al. <i>&#38;quot;GrabCut&#38;quot; - Interactive Foreground
    Extraction Using Iterated Graph Cuts </i>. Vol. 23, no. 3, ACM, 2004, pp. 309–14,
    doi:<a href="https://doi.org/10.1145/1015706.1015720">10.1145/1015706.1015720</a>.
  short: C. Rother, V. Kolmogorov, A. Blake, in:, ACM, 2004, pp. 309–314.
conference:
  name: 'SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques'
date_created: 2018-12-11T12:01:51Z
date_published: 2004-08-01T00:00:00Z
date_updated: 2021-01-12T07:41:36Z
day: '01'
doi: 10.1145/1015706.1015720
extern: 1
intvolume: '        23'
issue: '3'
main_file_link:
- open_access: '0'
  url: http://research.microsoft.com/pubs/67890/siggraph04-grabcut.pdf
month: '08'
page: 309 - 314
publication_status: published
publisher: ACM
publist_id: '3505'
quality_controlled: 0
status: public
title: '&quot;GrabCut&quot; - Interactive foreground extraction using iterated graph
  cuts '
type: conference
volume: 23
year: '2004'
...
---
_id: '3208'
abstract:
- lang: eng
  text: |-
    A new technique for proving the adaptive indistinguishability of two systems, each composed of some component systems, is presented, using only the fact that corresponding component systems are non-adaptively indistinguishable. The main tool is the definition of a special monotone condition for a random system F, relative to another random system G, whose probability of occurring for a given distinguisher D is closely related to the distinguishing advantage ε of D for F and G, namely it is lower and upper bounded by ε and (1+ln1), respectively.
    A concrete instantiation of this result shows that the cascade of two random permutations (with the second one inverted) is indistinguishable from a uniform random permutation by adaptive distinguishers which may query the system from both sides, assuming the components’ security only against non-adaptive one-sided distinguishers.
    As applications we provide some results in various fields as almost k-wise independent probability spaces, decorrelation theory and computational indistinguishability (i.e., pseudo-randomness).
alternative_title:
- LNCS
author:
- first_name: Ueli
  full_name: Maurer, Ueli M
  last_name: Maurer
- first_name: Krzysztof Z
  full_name: Krzysztof Pietrzak
  id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87
  last_name: Pietrzak
  orcid: 0000-0002-9139-1654
citation:
  ama: 'Maurer U, Pietrzak KZ. Composition of random systems: When two weak make one
    strong. In: Vol 2951. Springer; 2004:410-427. doi:<a href="https://doi.org/10.1007/978-3-540-24638-1_23">10.1007/978-3-540-24638-1_23</a>'
  apa: 'Maurer, U., &#38; Pietrzak, K. Z. (2004). Composition of random systems: When
    two weak make one strong (Vol. 2951, pp. 410–427). Presented at the TCC: Theory
    of Cryptography Conference, Springer. <a href="https://doi.org/10.1007/978-3-540-24638-1_23">https://doi.org/10.1007/978-3-540-24638-1_23</a>'
  chicago: 'Maurer, Ueli, and Krzysztof Z Pietrzak. “Composition of Random Systems:
    When Two Weak Make One Strong,” 2951:410–27. Springer, 2004. <a href="https://doi.org/10.1007/978-3-540-24638-1_23">https://doi.org/10.1007/978-3-540-24638-1_23</a>.'
  ieee: 'U. Maurer and K. Z. Pietrzak, “Composition of random systems: When two weak
    make one strong,” presented at the TCC: Theory of Cryptography Conference, 2004,
    vol. 2951, pp. 410–427.'
  ista: 'Maurer U, Pietrzak KZ. 2004. Composition of random systems: When two weak
    make one strong. TCC: Theory of Cryptography Conference, LNCS, vol. 2951, 410–427.'
  mla: 'Maurer, Ueli, and Krzysztof Z. Pietrzak. <i>Composition of Random Systems:
    When Two Weak Make One Strong</i>. Vol. 2951, Springer, 2004, pp. 410–27, doi:<a
    href="https://doi.org/10.1007/978-3-540-24638-1_23">10.1007/978-3-540-24638-1_23</a>.'
  short: U. Maurer, K.Z. Pietrzak, in:, Springer, 2004, pp. 410–427.
conference:
  name: 'TCC: Theory of Cryptography Conference'
date_created: 2018-12-11T12:02:01Z
date_published: 2004-03-19T00:00:00Z
date_updated: 2021-01-12T07:41:48Z
day: '19'
doi: 10.1007/978-3-540-24638-1_23
extern: 1
intvolume: '      2951'
month: '03'
page: 410 - 427
publication_status: published
publisher: Springer
publist_id: '3471'
quality_controlled: 0
status: public
title: 'Composition of random systems: When two weak make one strong'
type: conference
volume: 2951
year: '2004'
...
---
_id: '11762'
abstract:
- lang: eng
  text: 'In this paper, we describe six algorithmic problems that arise in web search
    engines and that are not or only partially solved: (1) Uniformly sampling of web
    pages; (2) modeling the web graph; (3) ﬁnding duplicate hosts; (4) ﬁnding top
    gainers and losers in data streams; (5) ﬁnding large dense bipartite graphs; and
    (6) understanding how eigenvectors partition the web.'
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
citation:
  ama: Henzinger MH. Algorithmic challenges in web search engines. <i>Internet Mathematics</i>.
    2004;1(1):115-123. doi:<a href="https://doi.org/10.1080/15427951.2004.10129079">10.1080/15427951.2004.10129079</a>
  apa: Henzinger, M. H. (2004). Algorithmic challenges in web search engines. <i>Internet
    Mathematics</i>. Internet Mathematics. <a href="https://doi.org/10.1080/15427951.2004.10129079">https://doi.org/10.1080/15427951.2004.10129079</a>
  chicago: Henzinger, Monika H. “Algorithmic Challenges in Web Search Engines.” <i>Internet
    Mathematics</i>. Internet Mathematics, 2004. <a href="https://doi.org/10.1080/15427951.2004.10129079">https://doi.org/10.1080/15427951.2004.10129079</a>.
  ieee: M. H. Henzinger, “Algorithmic challenges in web search engines,” <i>Internet
    Mathematics</i>, vol. 1, no. 1. Internet Mathematics, pp. 115–123, 2004.
  ista: Henzinger MH. 2004. Algorithmic challenges in web search engines. Internet
    Mathematics. 1(1), 115–123.
  mla: Henzinger, Monika H. “Algorithmic Challenges in Web Search Engines.” <i>Internet
    Mathematics</i>, vol. 1, no. 1, Internet Mathematics, 2004, pp. 115–23, doi:<a
    href="https://doi.org/10.1080/15427951.2004.10129079">10.1080/15427951.2004.10129079</a>.
  short: M.H. Henzinger, Internet Mathematics 1 (2004) 115–123.
date_created: 2022-08-08T11:55:53Z
date_published: 2004-01-01T00:00:00Z
date_updated: 2023-02-10T07:47:21Z
day: '01'
doi: 10.1080/15427951.2004.10129079
extern: '1'
intvolume: '         1'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1080/15427951.2004.10129079
month: '01'
oa: 1
oa_version: Published Version
page: 115-123
publication: Internet Mathematics
publication_identifier:
  eissn:
  - 1944-9488
  issn:
  - 1542-7951
publication_status: published
publisher: Internet Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Algorithmic challenges in web search engines
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 1
year: '2004'
...
---
_id: '8517'
abstract:
- lang: eng
  text: We consider the evolution of a connected set on the plane carried by a space
    periodic incompressible stochastic flow. While for almost every realization of
    the stochastic flow at time t most of the particles are at a distance of order
    equation image away from the origin, there is a measure zero set of points that
    escape to infinity at the linear rate. We study the set of points visited by the
    original set by time t and show that such a set, when scaled down by the factor
    of t, has a limiting nonrandom shape.
article_processing_charge: No
article_type: original
author:
- first_name: Dmitry
  full_name: Dolgopyat, Dmitry
  last_name: Dolgopyat
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: Leonid
  full_name: Koralov, Leonid
  last_name: Koralov
citation:
  ama: Dolgopyat D, Kaloshin V, Koralov L. A limit shape theorem for periodic stochastic
    dispersion. <i>Communications on Pure and Applied Mathematics</i>. 2004;57(9):1127-1158.
    doi:<a href="https://doi.org/10.1002/cpa.20032">10.1002/cpa.20032</a>
  apa: Dolgopyat, D., Kaloshin, V., &#38; Koralov, L. (2004). A limit shape theorem
    for periodic stochastic dispersion. <i>Communications on Pure and Applied Mathematics</i>.
    Wiley. <a href="https://doi.org/10.1002/cpa.20032">https://doi.org/10.1002/cpa.20032</a>
  chicago: Dolgopyat, Dmitry, Vadim Kaloshin, and Leonid Koralov. “A Limit Shape Theorem
    for Periodic Stochastic Dispersion.” <i>Communications on Pure and Applied Mathematics</i>.
    Wiley, 2004. <a href="https://doi.org/10.1002/cpa.20032">https://doi.org/10.1002/cpa.20032</a>.
  ieee: D. Dolgopyat, V. Kaloshin, and L. Koralov, “A limit shape theorem for periodic
    stochastic dispersion,” <i>Communications on Pure and Applied Mathematics</i>,
    vol. 57, no. 9. Wiley, pp. 1127–1158, 2004.
  ista: Dolgopyat D, Kaloshin V, Koralov L. 2004. A limit shape theorem for periodic
    stochastic dispersion. Communications on Pure and Applied Mathematics. 57(9),
    1127–1158.
  mla: Dolgopyat, Dmitry, et al. “A Limit Shape Theorem for Periodic Stochastic Dispersion.”
    <i>Communications on Pure and Applied Mathematics</i>, vol. 57, no. 9, Wiley,
    2004, pp. 1127–58, doi:<a href="https://doi.org/10.1002/cpa.20032">10.1002/cpa.20032</a>.
  short: D. Dolgopyat, V. Kaloshin, L. Koralov, Communications on Pure and Applied
    Mathematics 57 (2004) 1127–1158.
date_created: 2020-09-18T10:49:12Z
date_published: 2004-09-01T00:00:00Z
date_updated: 2021-01-12T08:19:50Z
day: '01'
doi: 10.1002/cpa.20032
extern: '1'
intvolume: '        57'
issue: '9'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
month: '09'
oa_version: None
page: 1127-1158
publication: Communications on Pure and Applied Mathematics
publication_identifier:
  issn:
  - 0010-3640
  - 1097-0312
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A limit shape theorem for periodic stochastic dispersion
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2004'
...
---
_id: '8518'
article_processing_charge: No
article_type: original
author:
- first_name: Leonid
  full_name: Koralov, Leonid
  last_name: Koralov
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: Dmitry
  full_name: Dolgopyat, Dmitry
  last_name: Dolgopyat
citation:
  ama: Koralov L, Kaloshin V, Dolgopyat D. Sample path properties of the stochastic
    flows. <i>The Annals of Probability</i>. 2004;32(1A):1-27. doi:<a href="https://doi.org/10.1214/aop/1078415827">10.1214/aop/1078415827</a>
  apa: Koralov, L., Kaloshin, V., &#38; Dolgopyat, D. (2004). Sample path properties
    of the stochastic flows. <i>The Annals of Probability</i>. Institute of Mathematical
    Statistics. <a href="https://doi.org/10.1214/aop/1078415827">https://doi.org/10.1214/aop/1078415827</a>
  chicago: Koralov, Leonid, Vadim Kaloshin, and Dmitry Dolgopyat. “Sample Path Properties
    of the Stochastic Flows.” <i>The Annals of Probability</i>. Institute of Mathematical
    Statistics, 2004. <a href="https://doi.org/10.1214/aop/1078415827">https://doi.org/10.1214/aop/1078415827</a>.
  ieee: L. Koralov, V. Kaloshin, and D. Dolgopyat, “Sample path properties of the
    stochastic flows,” <i>The Annals of Probability</i>, vol. 32, no. 1A. Institute
    of Mathematical Statistics, pp. 1–27, 2004.
  ista: Koralov L, Kaloshin V, Dolgopyat D. 2004. Sample path properties of the stochastic
    flows. The Annals of Probability. 32(1A), 1–27.
  mla: Koralov, Leonid, et al. “Sample Path Properties of the Stochastic Flows.” <i>The
    Annals of Probability</i>, vol. 32, no. 1A, Institute of Mathematical Statistics,
    2004, pp. 1–27, doi:<a href="https://doi.org/10.1214/aop/1078415827">10.1214/aop/1078415827</a>.
  short: L. Koralov, V. Kaloshin, D. Dolgopyat, The Annals of Probability 32 (2004)
    1–27.
date_created: 2020-09-18T10:49:19Z
date_published: 2004-03-04T00:00:00Z
date_updated: 2021-01-12T08:19:50Z
day: '04'
doi: 10.1214/aop/1078415827
extern: '1'
intvolume: '        32'
issue: 1A
language:
- iso: eng
month: '03'
oa_version: None
page: 1-27
publication: The Annals of Probability
publication_identifier:
  issn:
  - 0091-1798
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
status: public
title: Sample path properties of the stochastic flows
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 32
year: '2004'
...
---
_id: '864'
abstract:
- lang: eng
  text: 'We present a method for prediction of functional sites in a set of aligned
    protein sequences. The method selects sites which are both well conserved and
    clustered together in space, as inferred from the 3D structures of proteins included
    in the alignment. We tested the method using 86 alignments from the NCBI CDD database,
    where the sites of experimentally determined ligand and/or macromolecular interactions
    are annotated. In agreement with earlier investigations, we found that functional
    site predictions are most successful when overall background sequence conservation
    is low, such that sites under evolutionary constraint become apparent. In addition,
    we found that averaging of conservation values across spatially clustered sites
    improves predictions under certain conditions: that is, when overall conservation
    is relatively high and when the site in question involves a large macromolecular
    binding interface. Under these conditions it is better to look for clusters of
    conserved sites than to look for particular conserved sites.'
acknowledgement: We thank John Spouge, Ben Shoemaker, and Michael Galperin forhelpful
  suggestions, and the NIH Intramural Research Program forsupport.
author:
- first_name: Anna
  full_name: Panchenko, Anna R
  last_name: Panchenko
- first_name: Fyodor
  full_name: Fyodor Kondrashov
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Stephen
  full_name: Bryant, Stephen H
  last_name: Bryant
citation:
  ama: Panchenko A, Kondrashov F, Bryant S. Prediction of functional sites by analysis
    of sequence and structure conservation. <i>Protein Science</i>. 2004;13(4):884-892.
    doi:<a href="https://doi.org/10.1110/ps.03465504">10.1110/ps.03465504</a>
  apa: Panchenko, A., Kondrashov, F., &#38; Bryant, S. (2004). Prediction of functional
    sites by analysis of sequence and structure conservation. <i>Protein Science</i>.
    Wiley-Blackwell. <a href="https://doi.org/10.1110/ps.03465504">https://doi.org/10.1110/ps.03465504</a>
  chicago: Panchenko, Anna, Fyodor Kondrashov, and Stephen Bryant. “Prediction of
    Functional Sites by Analysis of Sequence and Structure Conservation.” <i>Protein
    Science</i>. Wiley-Blackwell, 2004. <a href="https://doi.org/10.1110/ps.03465504">https://doi.org/10.1110/ps.03465504</a>.
  ieee: A. Panchenko, F. Kondrashov, and S. Bryant, “Prediction of functional sites
    by analysis of sequence and structure conservation,” <i>Protein Science</i>, vol.
    13, no. 4. Wiley-Blackwell, pp. 884–892, 2004.
  ista: Panchenko A, Kondrashov F, Bryant S. 2004. Prediction of functional sites
    by analysis of sequence and structure conservation. Protein Science. 13(4), 884–892.
  mla: Panchenko, Anna, et al. “Prediction of Functional Sites by Analysis of Sequence
    and Structure Conservation.” <i>Protein Science</i>, vol. 13, no. 4, Wiley-Blackwell,
    2004, pp. 884–92, doi:<a href="https://doi.org/10.1110/ps.03465504">10.1110/ps.03465504</a>.
  short: A. Panchenko, F. Kondrashov, S. Bryant, Protein Science 13 (2004) 884–892.
date_created: 2018-12-11T11:48:55Z
date_published: 2004-04-01T00:00:00Z
date_updated: 2021-01-12T08:20:22Z
day: '01'
doi: 10.1110/ps.03465504
extern: 1
intvolume: '        13'
issue: '4'
month: '04'
page: 884 - 892
publication: Protein Science
publication_status: published
publisher: Wiley-Blackwell
publist_id: '6786'
quality_controlled: 0
status: public
title: Prediction of functional sites by analysis of sequence and structure conservation
type: journal_article
volume: 13
year: '2004'
...
---
_id: '870'
abstract:
- lang: eng
  text: Only a fraction of eukaryotic genes affect the phenotype drastically. We compared
    18 parameters in 1273 human morbid genes, known to cause diseases, and in the
    remaining 16 580 unambiguous human genes. Morbid genes evolve more slowly, have
    wider phylogenetic distributions, are more similar to essential genes of Drosophila
    melanogaster, code for longer proteins containing more alanine and glycine and
    less histidine, lysine and methionine, possess larger numbers of longer introns
    with more accurate splicing signals and have higher and broader expressions. These
    differences make it possible to classify as non-morbid 34% of human genes with
    unknown morbidity, when only 5% of known morbid genes are incorrectly classified
    as non-morbid. This classification can help to identify disease-causing genes
    among multiple candidates.
author:
- first_name: Fyodor
  full_name: Fyodor Kondrashov
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Aleksey
  full_name: Ogurtsov, Aleksey Yu
  last_name: Ogurtsov
- first_name: Alexey
  full_name: Kondrashov, Alexey S
  last_name: Kondrashov
citation:
  ama: Kondrashov F, Ogurtsov A, Kondrashov A. Bioinformatical assay of human gene
    morbidity. <i>Nucleic Acids Research</i>. 2004;32(5):1731-1737. doi:<a href="https://doi.org/10.1093/nar/gkh330">10.1093/nar/gkh330</a>
  apa: Kondrashov, F., Ogurtsov, A., &#38; Kondrashov, A. (2004). Bioinformatical
    assay of human gene morbidity. <i>Nucleic Acids Research</i>. Oxford University
    Press. <a href="https://doi.org/10.1093/nar/gkh330">https://doi.org/10.1093/nar/gkh330</a>
  chicago: Kondrashov, Fyodor, Aleksey Ogurtsov, and Alexey Kondrashov. “Bioinformatical
    Assay of Human Gene Morbidity.” <i>Nucleic Acids Research</i>. Oxford University
    Press, 2004. <a href="https://doi.org/10.1093/nar/gkh330">https://doi.org/10.1093/nar/gkh330</a>.
  ieee: F. Kondrashov, A. Ogurtsov, and A. Kondrashov, “Bioinformatical assay of human
    gene morbidity,” <i>Nucleic Acids Research</i>, vol. 32, no. 5. Oxford University
    Press, pp. 1731–1737, 2004.
  ista: Kondrashov F, Ogurtsov A, Kondrashov A. 2004. Bioinformatical assay of human
    gene morbidity. Nucleic Acids Research. 32(5), 1731–1737.
  mla: Kondrashov, Fyodor, et al. “Bioinformatical Assay of Human Gene Morbidity.”
    <i>Nucleic Acids Research</i>, vol. 32, no. 5, Oxford University Press, 2004,
    pp. 1731–37, doi:<a href="https://doi.org/10.1093/nar/gkh330">10.1093/nar/gkh330</a>.
  short: F. Kondrashov, A. Ogurtsov, A. Kondrashov, Nucleic Acids Research 32 (2004)
    1731–1737.
date_created: 2018-12-11T11:48:56Z
date_published: 2004-01-01T00:00:00Z
date_updated: 2021-01-12T08:20:37Z
day: '01'
doi: 10.1093/nar/gkh330
extern: 1
intvolume: '        32'
issue: '5'
month: '01'
page: 1731 - 1737
publication: Nucleic Acids Research
publication_status: published
publisher: Oxford University Press
publist_id: '6780'
quality_controlled: 0
status: public
title: Bioinformatical assay of human gene morbidity
type: journal_article
volume: 32
year: '2004'
...
---
_id: '875'
abstract:
- lang: eng
  text: The dominance of wild-type alleles and the concomitant recessivity of deleterious
    mutant alleles might have evolved by natural selection or could be a by-product
    of the molecular and physiological mechanisms of gene action. We compared the
    properties of human haplosufficient genes, whose wild-type alleles are dominant
    over loss-of-function alleles, with haploinsufficient (recessive wild-type) genes,
    which produce an abnormal phenotype when heterozygous for a loss-of-function allele.
    The fraction of haplosufficient genes is the highest among the genes that encode
    enzymes, which is best compatible with the physiological theory. Haploinsufficient
    genes, on average, have more paralogs than haplosufficient genes, supporting the
    idea that gene dosage could be important for the initial fixation of duplications.
    Thus, haplo(in)sufficiency of a gene and its propensity for duplication might
    have a common evolutionary basis.
author:
- first_name: Fyodor
  full_name: Fyodor Kondrashov
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Eugene
  full_name: Koonin, Eugene V
  last_name: Koonin
citation:
  ama: Kondrashov F, Koonin E. A common framework for understanding the origin of
    genetic dominance and evolutionary fates of gene duplications. <i>Trends in Genetics</i>.
    2004;20(7):287-291. doi:<a href="https://doi.org/10.1016/j.tig.2004.05.001">10.1016/j.tig.2004.05.001</a>
  apa: Kondrashov, F., &#38; Koonin, E. (2004). A common framework for understanding
    the origin of genetic dominance and evolutionary fates of gene duplications. <i>Trends
    in Genetics</i>. Elsevier. <a href="https://doi.org/10.1016/j.tig.2004.05.001">https://doi.org/10.1016/j.tig.2004.05.001</a>
  chicago: Kondrashov, Fyodor, and Eugene Koonin. “A Common Framework for Understanding
    the Origin of Genetic Dominance and Evolutionary Fates of Gene Duplications.”
    <i>Trends in Genetics</i>. Elsevier, 2004. <a href="https://doi.org/10.1016/j.tig.2004.05.001">https://doi.org/10.1016/j.tig.2004.05.001</a>.
  ieee: F. Kondrashov and E. Koonin, “A common framework for understanding the origin
    of genetic dominance and evolutionary fates of gene duplications,” <i>Trends in
    Genetics</i>, vol. 20, no. 7. Elsevier, pp. 287–291, 2004.
  ista: Kondrashov F, Koonin E. 2004. A common framework for understanding the origin
    of genetic dominance and evolutionary fates of gene duplications. Trends in Genetics.
    20(7), 287–291.
  mla: Kondrashov, Fyodor, and Eugene Koonin. “A Common Framework for Understanding
    the Origin of Genetic Dominance and Evolutionary Fates of Gene Duplications.”
    <i>Trends in Genetics</i>, vol. 20, no. 7, Elsevier, 2004, pp. 287–91, doi:<a
    href="https://doi.org/10.1016/j.tig.2004.05.001">10.1016/j.tig.2004.05.001</a>.
  short: F. Kondrashov, E. Koonin, Trends in Genetics 20 (2004) 287–291.
date_created: 2018-12-11T11:48:58Z
date_published: 2004-07-01T00:00:00Z
date_updated: 2021-01-12T08:20:54Z
day: '01'
doi: 10.1016/j.tig.2004.05.001
extern: 1
intvolume: '        20'
issue: '7'
month: '07'
page: 287 - 291
publication: Trends in Genetics
publication_status: published
publisher: Elsevier
publist_id: '6775'
quality_controlled: 0
status: public
title: A common framework for understanding the origin of genetic dominance and evolutionary
  fates of gene duplications
type: journal_article
volume: 20
year: '2004'
...
---
_id: '889'
abstract:
- lang: eng
  text: 'The function of protein and RNA molecules depends on complex epistatic interactions
    between sites. Therefore, the deleterious effect of a mutation can be suppressed
    by a compensatory second-site substitution. In relating a list of 86 pathogenic
    mutations in human IRNAs encoded by mitochondrial genes to the sequences of their
    mammalian orthologs, we noted that 52 pathogenic mutations were present in normal
    tRNAs of one or several nonhuman mammals. We found at least five mechanisms of
    compensation for 32 pathogenic mutations that destroyed a Watson-Crick pair in
    one of the four tRNA stems: restoration of the affected Watson-Crick interaction
    (25 cases), strengthening of another pair (4 cases), creation of a new pair (8
    cases), changes of multiple interactions in the affected stem (11 cases) and changes
    involving the interaction between the loop and stem structures (3 cases). A pathogenic
    mutation and its compensating substitution are fixed in a lineage in rapid succession,
    and often a compensatory interaction evolves convergently in different clades.
    At least 10%, and perhaps as many as 50%, of all nucleotide substitutions in evolving
    mammalian (RNAs participate in such interactions, indicating that the evolution
    of tRNAs proceeds along highly epistatic fitness ridges.'
acknowledgement: We thank J. Gillespie, M. Hahn, L. Horth, A. Kondrashov, A. Kopp,
  S. Nuzhdin, M. Turelli and D. Weinreich for their contributions. The authors were
  supported by a grant from the US National Institutes of Health to S. Nuzhdin, and
  A.D.K. is a Howard Hughes
author:
- first_name: Andrew
  full_name: Kern, Andrew D
  last_name: Kern
- first_name: Fyodor
  full_name: Fyodor Kondrashov
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
citation:
  ama: Kern A, Kondrashov F. Mechanisms and convergence of compensatory evolution
    in mammalian mitochondrial tRNAs. <i>Nature Genetics</i>. 2004;36(11):1207-1212.
    doi:<a href="https://doi.org/10.1038/ng1451">10.1038/ng1451</a>
  apa: Kern, A., &#38; Kondrashov, F. (2004). Mechanisms and convergence of compensatory
    evolution in mammalian mitochondrial tRNAs. <i>Nature Genetics</i>. Nature Publishing
    Group. <a href="https://doi.org/10.1038/ng1451">https://doi.org/10.1038/ng1451</a>
  chicago: Kern, Andrew, and Fyodor Kondrashov. “Mechanisms and Convergence of Compensatory
    Evolution in Mammalian Mitochondrial TRNAs.” <i>Nature Genetics</i>. Nature Publishing
    Group, 2004. <a href="https://doi.org/10.1038/ng1451">https://doi.org/10.1038/ng1451</a>.
  ieee: A. Kern and F. Kondrashov, “Mechanisms and convergence of compensatory evolution
    in mammalian mitochondrial tRNAs,” <i>Nature Genetics</i>, vol. 36, no. 11. Nature
    Publishing Group, pp. 1207–1212, 2004.
  ista: Kern A, Kondrashov F. 2004. Mechanisms and convergence of compensatory evolution
    in mammalian mitochondrial tRNAs. Nature Genetics. 36(11), 1207–1212.
  mla: Kern, Andrew, and Fyodor Kondrashov. “Mechanisms and Convergence of Compensatory
    Evolution in Mammalian Mitochondrial TRNAs.” <i>Nature Genetics</i>, vol. 36,
    no. 11, Nature Publishing Group, 2004, pp. 1207–12, doi:<a href="https://doi.org/10.1038/ng1451">10.1038/ng1451</a>.
  short: A. Kern, F. Kondrashov, Nature Genetics 36 (2004) 1207–1212.
date_created: 2018-12-11T11:49:02Z
date_published: 2004-11-01T00:00:00Z
date_updated: 2021-01-12T08:21:17Z
day: '01'
doi: 10.1038/ng1451
extern: 1
intvolume: '        36'
issue: '11'
month: '11'
page: 1207 - 1212
publication: Nature Genetics
publication_status: published
publisher: Nature Publishing Group
publist_id: '6759'
quality_controlled: 0
status: public
title: Mechanisms and convergence of compensatory evolution in mammalian mitochondrial
  tRNAs
type: journal_article
volume: 36
year: '2004'
...
---
_id: '898'
abstract:
- lang: eng
  text: New alleles become fixed owing to random drift of nearly neutral mutations
    or to positive selection of substantially advantageous mutations. After decades
    of debate, the fraction of fixations driven by selection remains uncertain. Within
    9,390 genes, we analysed 28,196 codons at which rat and mouse differ from each
    other at two nucleotide sites and 1,982 codons with three differences. At codons
    where rat-mouse divergence involved two non-synonymous substitutions, both of
    them occurred in the same lineage, either rat or mouse, in 64% of cases; however,
    independent substitutions would occur in the same lineage with a probability of
    only 50%. All three non-synonymous substitutions occurred in the same lineage
    for 46% of codons, instead of the 25% expected. Furthermore, comparison of 12
    pairs of prokaryotic genomes also shows clumping of multiple non-synonymous substitutions
    in the same lineage. This pattern cannot be explained by correlated mutation or
    episodes of relaxed negative selection, but instead indicates that positive selection
    acts at many sites of rapid, successive amino acid replacement.
acknowledgement: We thank N. Bierne for a number of suggestions. G.A.B. was supported
  by a BWF graduate fellowship. S.S. was supported by Genome Canada Foundation.
author:
- first_name: Georgii
  full_name: Bazykin, Georgii A
  last_name: Bazykin
- first_name: Fyodor
  full_name: Fyodor Kondrashov
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Aleksey
  full_name: Ogurtsov, Aleksey Yu
  last_name: Ogurtsov
- first_name: Shamil
  full_name: Sunyaev, Shamil R
  last_name: Sunyaev
- first_name: Alexey
  full_name: Kondrashov, Alexey S
  last_name: Kondrashov
citation:
  ama: Bazykin G, Kondrashov F, Ogurtsov A, Sunyaev S, Kondrashov A. Positive selection
    at sites of multiple amino acid replacements since rat-mouse divergence. <i>Nature</i>.
    2004;429(6991):558-562. doi:<a href="https://doi.org/10.1038/nature02601">10.1038/nature02601</a>
  apa: Bazykin, G., Kondrashov, F., Ogurtsov, A., Sunyaev, S., &#38; Kondrashov, A.
    (2004). Positive selection at sites of multiple amino acid replacements since
    rat-mouse divergence. <i>Nature</i>. Nature Publishing Group. <a href="https://doi.org/10.1038/nature02601">https://doi.org/10.1038/nature02601</a>
  chicago: Bazykin, Georgii, Fyodor Kondrashov, Aleksey Ogurtsov, Shamil Sunyaev,
    and Alexey Kondrashov. “Positive Selection at Sites of Multiple Amino Acid Replacements
    since Rat-Mouse Divergence.” <i>Nature</i>. Nature Publishing Group, 2004. <a
    href="https://doi.org/10.1038/nature02601">https://doi.org/10.1038/nature02601</a>.
  ieee: G. Bazykin, F. Kondrashov, A. Ogurtsov, S. Sunyaev, and A. Kondrashov, “Positive
    selection at sites of multiple amino acid replacements since rat-mouse divergence,”
    <i>Nature</i>, vol. 429, no. 6991. Nature Publishing Group, pp. 558–562, 2004.
  ista: Bazykin G, Kondrashov F, Ogurtsov A, Sunyaev S, Kondrashov A. 2004. Positive
    selection at sites of multiple amino acid replacements since rat-mouse divergence.
    Nature. 429(6991), 558–562.
  mla: Bazykin, Georgii, et al. “Positive Selection at Sites of Multiple Amino Acid
    Replacements since Rat-Mouse Divergence.” <i>Nature</i>, vol. 429, no. 6991, Nature
    Publishing Group, 2004, pp. 558–62, doi:<a href="https://doi.org/10.1038/nature02601">10.1038/nature02601</a>.
  short: G. Bazykin, F. Kondrashov, A. Ogurtsov, S. Sunyaev, A. Kondrashov, Nature
    429 (2004) 558–562.
date_created: 2018-12-11T11:49:05Z
date_published: 2004-06-03T00:00:00Z
date_updated: 2021-01-12T08:21:37Z
day: '03'
doi: 10.1038/nature02601
extern: 1
intvolume: '       429'
issue: '6991'
month: '06'
page: 558 - 562
publication: Nature
publication_status: published
publisher: Nature Publishing Group
publist_id: '6746'
quality_controlled: 0
status: public
title: Positive selection at sites of multiple amino acid replacements since rat-mouse
  divergence
type: journal_article
volume: 429
year: '2004'
...
---
_id: '1963'
abstract:
- lang: eng
  text: The mechanism coupling electron transfer and proton pumping in respiratory
    complex I (NADH-ubiquinone oxidoreductase) has not been established, but it has
    been suggested that it involves conformational changes. Here, the influence of
    substrates on the conformation of purified complex I from Escherichia coli was
    studied by cross-linking and electron microscopy. When a zero-length cross-linking
    reagent was used, the presence of NAD(P)H, in contrast to that of NAD+, prevented
    the formation of cross-links between the hydrophilic subunits of the complex,
    including NuoB, NuoI, and NuoCD. Comparisons using different cross-linkers suggested
    that NuoB, which is likely to coordinate the key iron-sulfur cluster N2, is the
    most mobile subunit. The presence of NAD(P)H led also to enhanced proteolysis
    of subunit NuoG. These data indicate that upon NAD(P)H binding, the peripheral
    arm of the complex adopts a more open conformation, with increased distances between
    subunits. Single particle analysis showed the nature of this conformational change.
    The enzyme retains its L-shape in the presence of NADH, but exhibits a significantly
    more open or expanded structure both in the peripheral arm and, unexpectedly,
    in the membrane domain also.
acknowledgement: This work was supported by the Medical Research Council and by a
  Royal Society/North Atlantic Treaty Organization postdoctoral fellowship (to A.
  A. M.)
author:
- first_name: Aygun
  full_name: Mamedova, Aygun A
  last_name: Mamedova
- first_name: Peter
  full_name: Holt, Peter J
  last_name: Holt
- first_name: Joe
  full_name: Carroll, Joe D
  last_name: Carroll
- first_name: Leonid A
  full_name: Leonid Sazanov
  id: 338D39FE-F248-11E8-B48F-1D18A9856A87
  last_name: Sazanov
  orcid: 0000-0002-0977-7989
citation:
  ama: Mamedova A, Holt P, Carroll J, Sazanov LA. Substrate-induced conformational
    change in bacterial complex I. <i>Journal of Biological Chemistry</i>. 2004;279(22):23830-23836.
    doi:<a href="https://doi.org/10.1074/jbc.M401539200">10.1074/jbc.M401539200</a>
  apa: Mamedova, A., Holt, P., Carroll, J., &#38; Sazanov, L. A. (2004). Substrate-induced
    conformational change in bacterial complex I. <i>Journal of Biological Chemistry</i>.
    American Society for Biochemistry and Molecular Biology. <a href="https://doi.org/10.1074/jbc.M401539200">https://doi.org/10.1074/jbc.M401539200</a>
  chicago: Mamedova, Aygun, Peter Holt, Joe Carroll, and Leonid A Sazanov. “Substrate-Induced
    Conformational Change in Bacterial Complex I.” <i>Journal of Biological Chemistry</i>.
    American Society for Biochemistry and Molecular Biology, 2004. <a href="https://doi.org/10.1074/jbc.M401539200">https://doi.org/10.1074/jbc.M401539200</a>.
  ieee: A. Mamedova, P. Holt, J. Carroll, and L. A. Sazanov, “Substrate-induced conformational
    change in bacterial complex I,” <i>Journal of Biological Chemistry</i>, vol. 279,
    no. 22. American Society for Biochemistry and Molecular Biology, pp. 23830–23836,
    2004.
  ista: Mamedova A, Holt P, Carroll J, Sazanov LA. 2004. Substrate-induced conformational
    change in bacterial complex I. Journal of Biological Chemistry. 279(22), 23830–23836.
  mla: Mamedova, Aygun, et al. “Substrate-Induced Conformational Change in Bacterial
    Complex I.” <i>Journal of Biological Chemistry</i>, vol. 279, no. 22, American
    Society for Biochemistry and Molecular Biology, 2004, pp. 23830–36, doi:<a href="https://doi.org/10.1074/jbc.M401539200">10.1074/jbc.M401539200</a>.
  short: A. Mamedova, P. Holt, J. Carroll, L.A. Sazanov, Journal of Biological Chemistry
    279 (2004) 23830–23836.
date_created: 2018-12-11T11:54:56Z
date_published: 2004-05-28T00:00:00Z
date_updated: 2021-01-12T06:54:22Z
day: '28'
doi: 10.1074/jbc.M401539200
extern: 1
intvolume: '       279'
issue: '22'
month: '05'
page: 23830 - 23836
publication: Journal of Biological Chemistry
publication_status: published
publisher: American Society for Biochemistry and Molecular Biology
publist_id: '5123'
quality_controlled: 0
status: public
title: Substrate-induced conformational change in bacterial complex I
type: journal_article
volume: 279
year: '2004'
...
---
_id: '209'
author:
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Roger
  full_name: Heath-Brown, Roger
  last_name: Heath Brown
citation:
  ama: Browning TD, Heath Brown R. Equal sums of three powers. <i>Inventiones Mathematicae</i>.
    2004;157(3):553-573. doi:<a href="https://doi.org/10.1007/s00222-004-0360-9">10.1007/s00222-004-0360-9</a>
  apa: Browning, T. D., &#38; Heath Brown, R. (2004). Equal sums of three powers.
    <i>Inventiones Mathematicae</i>. Unknown. <a href="https://doi.org/10.1007/s00222-004-0360-9">https://doi.org/10.1007/s00222-004-0360-9</a>
  chicago: Browning, Timothy D, and Roger Heath Brown. “Equal Sums of Three Powers.”
    <i>Inventiones Mathematicae</i>. Unknown, 2004. <a href="https://doi.org/10.1007/s00222-004-0360-9">https://doi.org/10.1007/s00222-004-0360-9</a>.
  ieee: T. D. Browning and R. Heath Brown, “Equal sums of three powers,” <i>Inventiones
    Mathematicae</i>, vol. 157, no. 3. Unknown, pp. 553–573, 2004.
  ista: Browning TD, Heath Brown R. 2004. Equal sums of three powers. Inventiones
    Mathematicae. 157(3), 553–573.
  mla: Browning, Timothy D., and Roger Heath Brown. “Equal Sums of Three Powers.”
    <i>Inventiones Mathematicae</i>, vol. 157, no. 3, Unknown, 2004, pp. 553–73, doi:<a
    href="https://doi.org/10.1007/s00222-004-0360-9">10.1007/s00222-004-0360-9</a>.
  short: T.D. Browning, R. Heath Brown, Inventiones Mathematicae 157 (2004) 553–573.
date_created: 2018-12-11T11:45:13Z
date_published: 2004-03-17T00:00:00Z
date_updated: 2021-01-12T06:55:14Z
day: '17'
doi: 10.1007/s00222-004-0360-9
extern: 1
intvolume: '       157'
issue: '3'
month: '03'
page: 553 - 573
publication: Inventiones Mathematicae
publication_status: published
publisher: Unknown
publist_id: '7703'
quality_controlled: 0
status: public
title: Equal sums of three powers
type: journal_article
volume: 157
year: '2004'
...
---
_id: '2308'
abstract:
- lang: eng
  text: It is widely believed that the inflammatory events mediated by microglial
    activation contribute to several neurodegenerative processes. Alzheimer's disease,
    for example, is characterized by an accumulation of β-amyloid protein (Aβ) in
    neuritic plaques that are infiltrated by reactive microglia and astrocytes. Although
    Aβ and its fragment 25-35 exert a direct toxic effect on neurons, they also activate
    microglia. Microglial activation is accompanied by morphological changes, cell
    proliferation, and release of various cytokines and growth factors. A number of
    scientific reports suggest that the increased proliferation of microglial cells
    is dependent on ionic membrane currents and in particular on chloride conductances.
    An unusual chloride ion channel known to be associated with macrophage activation
    is the chloride intracellular channel-1 (CLIC1). Here we show that Aβ stimulation
    of neonatal rat microglia specifically leads to the increase in CLIC1 protein
    and to the functional expression of CLIC1 chloride conductance, both barely detectable
    on the plasma membrane of quiescent cells. CLIC1 protein expression in microglia
    increases after 24 hr of incubation with Aβ, simultaneously with the production
    of reactive nitrogen intermediates and of tumor necrosis factor-α (TNF-α). We
    demonstrate that reducing CLIC1 chloride conductance by a specific blocker [IAA-94
    (R(+)-[(6,7-dichloro-2-cyclopentyl-2,3-dihydro-2-methyl-1-oxo-1H-inden-5yl)-oxy]
    acetic acid)] prevents neuronal apoptosis in neurons cocultured with Aβ-treated
    microglia. Furthermore, we show that small interfering RNAs used to knock down
    CLIC1 expression prevent TNF-α release induced by Aβ stimulation. These results
    provide a direct link between Aβ-induced microglial activation and CLIC1 functional
    expression.
author:
- first_name: Gaia
  full_name: Gaia Novarino
  id: 3E57A680-F248-11E8-B48F-1D18A9856A87
  last_name: Novarino
  orcid: 0000-0002-7673-7178
- first_name: Cinzia
  full_name: Fabrizi, Cinzia
  last_name: Fabrizi
- first_name: Raffaella
  full_name: Tonini, Raffaella
  last_name: Tonini
- first_name: Michela
  full_name: Denti, Michela A
  last_name: Denti
- first_name: Albedi
  full_name: Malchiodi, Albedi F
  last_name: Malchiodi
- first_name: Giuliana
  full_name: Lauro, Giuliana M
  last_name: Lauro
- first_name: Benedetto
  full_name: Sacchetti, Benedetto
  last_name: Sacchetti
- first_name: Silvia
  full_name: Paradisi, Silvia
  last_name: Paradisi
- first_name: Arnaldo
  full_name: Ferroni, Arnaldo
  last_name: Ferroni
- first_name: Paul
  full_name: Curmi, Paul M G
  last_name: Curmi
- first_name: Samuel
  full_name: Breit, Samuel N
  last_name: Breit
- first_name: Michele
  full_name: Mazzanti, Michele
  last_name: Mazzanti
citation:
  ama: Novarino G, Fabrizi C, Tonini R, et al. Involvement of the intracellular ion
    channel CLIC1 in microglia-mediated β-amyloid-induced neurotoxicity. <i>Journal
    of Neuroscience</i>. 2004;24(23):5322-5330. doi:<a href="https://doi.org/10.1523/JNEUROSCI.1170-04.2004">10.1523/JNEUROSCI.1170-04.2004</a>
  apa: Novarino, G., Fabrizi, C., Tonini, R., Denti, M., Malchiodi, A., Lauro, G.,
    … Mazzanti, M. (2004). Involvement of the intracellular ion channel CLIC1 in microglia-mediated
    β-amyloid-induced neurotoxicity. <i>Journal of Neuroscience</i>. Society for Neuroscience.
    <a href="https://doi.org/10.1523/JNEUROSCI.1170-04.2004">https://doi.org/10.1523/JNEUROSCI.1170-04.2004</a>
  chicago: Novarino, Gaia, Cinzia Fabrizi, Raffaella Tonini, Michela Denti, Albedi
    Malchiodi, Giuliana Lauro, Benedetto Sacchetti, et al. “Involvement of the Intracellular
    Ion Channel CLIC1 in Microglia-Mediated β-Amyloid-Induced Neurotoxicity.” <i>Journal
    of Neuroscience</i>. Society for Neuroscience, 2004. <a href="https://doi.org/10.1523/JNEUROSCI.1170-04.2004">https://doi.org/10.1523/JNEUROSCI.1170-04.2004</a>.
  ieee: G. Novarino <i>et al.</i>, “Involvement of the intracellular ion channel CLIC1
    in microglia-mediated β-amyloid-induced neurotoxicity,” <i>Journal of Neuroscience</i>,
    vol. 24, no. 23. Society for Neuroscience, pp. 5322–5330, 2004.
  ista: Novarino G, Fabrizi C, Tonini R, Denti M, Malchiodi A, Lauro G, Sacchetti
    B, Paradisi S, Ferroni A, Curmi P, Breit S, Mazzanti M. 2004. Involvement of the
    intracellular ion channel CLIC1 in microglia-mediated β-amyloid-induced neurotoxicity.
    Journal of Neuroscience. 24(23), 5322–5330.
  mla: Novarino, Gaia, et al. “Involvement of the Intracellular Ion Channel CLIC1
    in Microglia-Mediated β-Amyloid-Induced Neurotoxicity.” <i>Journal of Neuroscience</i>,
    vol. 24, no. 23, Society for Neuroscience, 2004, pp. 5322–30, doi:<a href="https://doi.org/10.1523/JNEUROSCI.1170-04.2004">10.1523/JNEUROSCI.1170-04.2004</a>.
  short: G. Novarino, C. Fabrizi, R. Tonini, M. Denti, A. Malchiodi, G. Lauro, B.
    Sacchetti, S. Paradisi, A. Ferroni, P. Curmi, S. Breit, M. Mazzanti, Journal of
    Neuroscience 24 (2004) 5322–5330.
date_created: 2018-12-11T11:56:54Z
date_published: 2004-06-09T00:00:00Z
date_updated: 2021-01-12T06:56:41Z
day: '09'
doi: 10.1523/JNEUROSCI.1170-04.2004
extern: 1
intvolume: '        24'
issue: '23'
month: '06'
page: 5322 - 5330
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '4620'
quality_controlled: 0
status: public
title: Involvement of the intracellular ion channel CLIC1 in microglia-mediated β-amyloid-induced
  neurotoxicity
type: journal_article
volume: 24
year: '2004'
...
---
_id: '2355'
abstract:
- lang: eng
  text: 'The BMV conjecture for traces, which states that Tr exp(A - λB) is the Laplace
    transform of a positive measure, is shown to be equivalent to two other statements:
    (i) The polynomial λ → Tr(A + λB) p has only non-negative coefficients for all
    A, B ≥ 0, p ∈ ℕ and (ii) λ → Tr(A + λB)-p is the Laplace transform of a positive
    measure for A, B ≥ 0, p &gt; 0.'
author:
- first_name: Élliott
  full_name: Lieb, Élliott H
  last_name: Lieb
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Lieb É, Seiringer R.  Equivalent forms of the Bessis-Moussa-Villani conjecture.
    <i>Journal of Statistical Physics</i>. 2004;115(1-2):185-190. doi:<a href="https://doi.org/10.1023/B:JOSS.0000019811.15510.27">10.1023/B:JOSS.0000019811.15510.27</a>
  apa: Lieb, É., &#38; Seiringer, R. (2004).  Equivalent forms of the Bessis-Moussa-Villani
    conjecture. <i>Journal of Statistical Physics</i>. Springer. <a href="https://doi.org/10.1023/B:JOSS.0000019811.15510.27">https://doi.org/10.1023/B:JOSS.0000019811.15510.27</a>
  chicago: Lieb, Élliott, and Robert Seiringer. “ Equivalent Forms of the Bessis-Moussa-Villani
    Conjecture.” <i>Journal of Statistical Physics</i>. Springer, 2004. <a href="https://doi.org/10.1023/B:JOSS.0000019811.15510.27">https://doi.org/10.1023/B:JOSS.0000019811.15510.27</a>.
  ieee: É. Lieb and R. Seiringer, “ Equivalent forms of the Bessis-Moussa-Villani
    conjecture,” <i>Journal of Statistical Physics</i>, vol. 115, no. 1–2. Springer,
    pp. 185–190, 2004.
  ista: Lieb É, Seiringer R. 2004.  Equivalent forms of the Bessis-Moussa-Villani
    conjecture. Journal of Statistical Physics. 115(1–2), 185–190.
  mla: Lieb, Élliott, and Robert Seiringer. “ Equivalent Forms of the Bessis-Moussa-Villani
    Conjecture.” <i>Journal of Statistical Physics</i>, vol. 115, no. 1–2, Springer,
    2004, pp. 185–90, doi:<a href="https://doi.org/10.1023/B:JOSS.0000019811.15510.27">10.1023/B:JOSS.0000019811.15510.27</a>.
  short: É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
date_created: 2018-12-11T11:57:11Z
date_published: 2004-04-01T00:00:00Z
date_updated: 2021-01-12T06:56:59Z
day: '01'
doi: 10.1023/B:JOSS.0000019811.15510.27
extern: 1
intvolume: '       115'
issue: 1-2
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0210027
month: '04'
oa: 1
page: 185 - 190
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4568'
quality_controlled: 0
status: public
title: ' Equivalent forms of the Bessis-Moussa-Villani conjecture'
type: journal_article
volume: 115
year: '2004'
...
---
_id: '2356'
abstract:
- lang: eng
  text: 'Recent experimental and theoretical work has shown that there are conditions
    in which a trapped, low-density Bose gas behaves like the one-dimensional delta-function
    Bose gas solved years ago by Lieb and Liniger. This is an intrinsically quantum-mechanical
    phenomenon because it is not necessary to have a trap width that is the size of
    an atom - as might have been supposed - but it suffices merely to have a trap
    width such that the energy gap for motion in the transverse direction is large
    compared to the energy associated with the motion along the trap. Up to now the
    theoretical arguments have been based on variational - perturbative ideas or numerical
    investigations. In contrast, this paper gives a rigorous proof of the one-dimensional
    behavior as far as the ground state energy and particle density are concerned.
    There are four parameters involved: the particle number, N, transverse and longitudinal
    dimensions of the trap, r and L, and the scattering length a of the interaction
    potential. Our main result is that if r/L → 0 and N → ∞ the ground state energy
    and density can be obtained by minimizing a one-dimensional density functional
    involving the Lieb-Liniger energy density with coupling constant ∼ a/r 2. This
    density functional simplifies in various limiting cases and we identify five asymptotic
    parameter regions altogether. Three of these, corresponding to the weak coupling
    regime, can also be obtained as limits of a three-dimensional Gross-Pitaevskii
    theory. We also show that Bose-Einstein condensation in the ground state persists
    in a part of this regime. In the strong coupling regime the longitudinal motion
    of the particles is strongly correlated. The Gross-Pitaevskii description is not
    valid in this regime and new mathematical methods come into play.'
author:
- first_name: Élliott
  full_name: Lieb, Élliott H
  last_name: Lieb
- first_name: Robert
  full_name: Robert Seiringer
  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: Lieb É, Seiringer R, Yngvason J. One-dimensional behavior of dilute, trapped
    Bose gases. <i>Communications in Mathematical Physics</i>. 2004;244(2):347-393.
    doi:<a href="https://doi.org/10.1007/s00220-003-0993-3">10.1007/s00220-003-0993-3</a>
  apa: Lieb, É., Seiringer, R., &#38; Yngvason, J. (2004). One-dimensional behavior
    of dilute, trapped Bose gases. <i>Communications in Mathematical Physics</i>.
    Springer. <a href="https://doi.org/10.1007/s00220-003-0993-3">https://doi.org/10.1007/s00220-003-0993-3</a>
  chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Behavior
    of Dilute, Trapped Bose Gases.” <i>Communications in Mathematical Physics</i>.
    Springer, 2004. <a href="https://doi.org/10.1007/s00220-003-0993-3">https://doi.org/10.1007/s00220-003-0993-3</a>.
  ieee: É. Lieb, R. Seiringer, and J. Yngvason, “One-dimensional behavior of dilute,
    trapped Bose gases,” <i>Communications in Mathematical Physics</i>, vol. 244,
    no. 2. Springer, pp. 347–393, 2004.
  ista: Lieb É, Seiringer R, Yngvason J. 2004. One-dimensional behavior of dilute,
    trapped Bose gases. Communications in Mathematical Physics. 244(2), 347–393.
  mla: Lieb, Élliott, et al. “One-Dimensional Behavior of Dilute, Trapped Bose Gases.”
    <i>Communications in Mathematical Physics</i>, vol. 244, no. 2, Springer, 2004,
    pp. 347–93, doi:<a href="https://doi.org/10.1007/s00220-003-0993-3">10.1007/s00220-003-0993-3</a>.
  short: É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics
    244 (2004) 347–393.
date_created: 2018-12-11T11:57:11Z
date_published: 2004-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:59Z
day: '01'
doi: 10.1007/s00220-003-0993-3
extern: 1
intvolume: '       244'
issue: '2'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0305025
month: '01'
oa: 1
page: 347 - 393
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4569'
quality_controlled: 0
status: public
title: One-dimensional behavior of dilute, trapped Bose gases
type: journal_article
volume: 244
year: '2004'
...
