---
_id: '2071'
abstract:
- lang: eng
  text: The X or Z chromosome has several characteristics that distinguish it from
    the autosomes, namely hemizygosity in the heterogametic sex, and a potentially
    different effective population size, both of which may influence the rate and
    nature of evolution. In particular, there may be an accelerated rate of adaptive
    change for X-linked compared to autosomal coding sequences, often referred to
    as the Faster-X effect. Empirical studies have indicated that the strength of
    Faster-X evolution varies among different species, and theoretical treatments
    have shown that demography and mating system can substantially affect the degree
    of Faster-X evolution. Here we integrate genomic data on Faster-X evolution from
    a variety of animals with the demographic factors, mating system, and sex chromosome
    regulatory characteristics that may influence it. Our results suggest that differences
    in effective population size and mechanisms of dosage compensation may influence
    the perceived extent of Faster-X evolution, and help to explain several clade-specific
    patterns that we observe.
acknowledgement: We gratefully acknowledge funding from the Royal Society (to JEM)
author:
- first_name: Judith
  full_name: Mank, Judith E
  last_name: Mank
- first_name: Beatriz
  full_name: Beatriz Vicoso
  id: 49E1C5C6-F248-11E8-B48F-1D18A9856A87
  last_name: Vicoso
  orcid: 0000-0002-4579-8306
- first_name: Sofia
  full_name: Berlin, Sofia
  last_name: Berlin
- first_name: Brian
  full_name: Charlesworth, Brian
  last_name: Charlesworth
citation:
  ama: 'Mank J, Vicoso B, Berlin S, Charlesworth B. Effective population size and
    the Faster-X effect: Empirical results and their interpretation. <i>Evolution</i>.
    2010;64(3):663-674. doi:<a href="https://doi.org/10.1111/j.1558-5646.2009.00853.x">10.1111/j.1558-5646.2009.00853.x</a>'
  apa: 'Mank, J., Vicoso, B., Berlin, S., &#38; Charlesworth, B. (2010). Effective
    population size and the Faster-X effect: Empirical results and their interpretation.
    <i>Evolution</i>. Wiley-Blackwell. <a href="https://doi.org/10.1111/j.1558-5646.2009.00853.x">https://doi.org/10.1111/j.1558-5646.2009.00853.x</a>'
  chicago: 'Mank, Judith, Beatriz Vicoso, Sofia Berlin, and Brian Charlesworth. “Effective
    Population Size and the Faster-X Effect: Empirical Results and Their Interpretation.”
    <i>Evolution</i>. Wiley-Blackwell, 2010. <a href="https://doi.org/10.1111/j.1558-5646.2009.00853.x">https://doi.org/10.1111/j.1558-5646.2009.00853.x</a>.'
  ieee: 'J. Mank, B. Vicoso, S. Berlin, and B. Charlesworth, “Effective population
    size and the Faster-X effect: Empirical results and their interpretation,” <i>Evolution</i>,
    vol. 64, no. 3. Wiley-Blackwell, pp. 663–674, 2010.'
  ista: 'Mank J, Vicoso B, Berlin S, Charlesworth B. 2010. Effective population size
    and the Faster-X effect: Empirical results and their interpretation. Evolution.
    64(3), 663–674.'
  mla: 'Mank, Judith, et al. “Effective Population Size and the Faster-X Effect: Empirical
    Results and Their Interpretation.” <i>Evolution</i>, vol. 64, no. 3, Wiley-Blackwell,
    2010, pp. 663–74, doi:<a href="https://doi.org/10.1111/j.1558-5646.2009.00853.x">10.1111/j.1558-5646.2009.00853.x</a>.'
  short: J. Mank, B. Vicoso, S. Berlin, B. Charlesworth, Evolution 64 (2010) 663–674.
date_created: 2018-12-11T11:55:32Z
date_published: 2010-03-01T00:00:00Z
date_updated: 2021-01-12T06:55:07Z
day: '01'
doi: 10.1111/j.1558-5646.2009.00853.x
extern: 1
intvolume: '        64'
issue: '3'
month: '03'
page: 663 - 674
publication: Evolution
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4967'
quality_controlled: 0
status: public
title: 'Effective population size and the Faster-X effect: Empirical results and their
  interpretation'
type: journal_article
volume: 64
year: '2010'
...
---
_id: '2075'
abstract:
- lang: eng
  text: "This thesis investigates the combination of data-driven and physically based
    techniques for acquiring, modeling, and animating deformable materials, with a
    special focus on human faces. Furthermore, based on these techniques, we introduce
    a data-driven process for designing and fabricating materials with desired deformation
    behavior. \nRealistic simulation behavior, surface details, and appearance are
    still demanding tasks. Neither pure data-driven, pure procedural, nor pure physical
    methods are best suited for accurate synthesis of facial motion and details (both
    for appearance and geometry), due to the difficulties in model design, parameter
    estimation, and desired controllability for animators. Capturing of a small but
    representative amount of real data, and then synthesizing diverse on-demand examples
    with physically-based models and real data as input benefits from both sides:
    Highly realistic model behavior due to real-world data and controllability due
    to physically-based models.\nTo model the face and its behavior, hybrid physically-based
    and data-driven approaches are elaborated. We investigate surface-based representations
    as well as a solid representation based on FEM. To achieve realistic behavior,
    we propose to build light-weighted data capture devices to acquire real-world
    data to estimate model parameters and to employ concepts from data-driven modeling
    techniques and machine learning. The resulting models support simple acquisition
    systems, offer techniques to process and extract model parameters from real-world
    data, provide a compact representation of the facial geometry and its motion,
    and allow intuitive editing. We demonstrate applications such as capture of facial
    geometry and motion and real-time animation and transfer of facial details, and
    show that our soft tissue model can react to external forces and produce realistic
    deformations beyond facial expressions.\nBased on this model, we furthermore introduce
    a data-driven process for designing and fabricating materials with desired deformation
    behavior. The process starts with measuring deformation properties of base materials.
    Each material is represented as a non-linear stress-strain relationship in a finite-element
    model. For material design and fabrication, we introduce an optimization process
    that finds the best combination of base materials that meets a user’s criteria
    specified by example deformations. Our algorithm employs a number of strategies
    to prune poor solutions from the combinatorial search space. We finally demonstrate
    the complete process by designing and fabricating objects with complex heterogeneous
    materials using modern multi-material 3D printers.\n"
author:
- first_name: Bernd
  full_name: Bernd Bickel
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
citation:
  ama: Bickel B. Measurement-based modeling and fabrication of deformable materials
    for human faces. <i>Unknown</i>. 2010;499(7458). doi:<a href="https://doi.org/dx.doi.org/10.3929/ethz-a-006354908">dx.doi.org/10.3929/ethz-a-006354908</a>
  apa: Bickel, B. (2010). <i>Measurement-based modeling and fabrication of deformable
    materials for human faces</i>. <i>Unknown</i>. Unknown. <a href="https://doi.org/dx.doi.org/10.3929/ethz-a-006354908">https://doi.org/dx.doi.org/10.3929/ethz-a-006354908</a>
  chicago: Bickel, Bernd. “Measurement-Based Modeling and Fabrication of Deformable
    Materials for Human Faces.” <i>Unknown</i>. Unknown, 2010. <a href="https://doi.org/dx.doi.org/10.3929/ethz-a-006354908">https://doi.org/dx.doi.org/10.3929/ethz-a-006354908</a>.
  ieee: B. Bickel, “Measurement-based modeling and fabrication of deformable materials
    for human faces,” Unknown, 2010.
  ista: Bickel B. 2010. Measurement-based modeling and fabrication of deformable materials
    for human faces. Unknown.
  mla: Bickel, Bernd. “Measurement-Based Modeling and Fabrication of Deformable Materials
    for Human Faces.” <i>Unknown</i>, vol. 499, no. 7458, Unknown, 2010, doi:<a href="https://doi.org/dx.doi.org/10.3929/ethz-a-006354908">dx.doi.org/10.3929/ethz-a-006354908</a>.
  short: B. Bickel, Measurement-Based Modeling and Fabrication of Deformable Materials
    for Human Faces, Unknown, 2010.
date_created: 2018-12-11T11:55:34Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:09Z
day: '01'
doi: dx.doi.org/10.3929/ethz-a-006354908
extern: 1
intvolume: '       499'
issue: '7458'
month: '01'
publication: Unknown
publication_status: published
publisher: Unknown
publist_id: '4963'
quality_controlled: 0
status: public
title: Measurement-based modeling and fabrication of deformable materials for human
  faces
type: dissertation
volume: 499
year: '2010'
...
---
_id: '2095'
abstract:
- lang: eng
  text: This paper describes a passive stereo system for capturing the 3D geometry
    of a face in a single-shot under standard light sources. The system is low-cost
    and easy to deploy. Results are submillimeter accurate and commensurate with those
    from state-ofthe-art systems based on active lighting, and the models meet the
    quality requirements of a demanding domain like the movie industry. Recovered
    models are shown for captures from both high-end cameras in a studio setting and
    from a consumer binocular-stereo camera, demonstrating scalability across a spectrum
    of camera deployments, and showing the potential for 3D face modeling to move
    beyond the professional arena and into the emerging consumer market in stereoscopic
    photography. Our primary technical contribution is a modification of standard
    stereo refinement methods to capture pore-scale geometry, using a qualitative
    approach that produces visually realistic results. The second technical contribution
    is a calibration method suited to face capture systems. The systemic contribution
    includes multiple demonstrations of system robustness and quality. These include
    capture in a studio setup, capture off a consumer binocular-stereo camera, scanning
    of faces of varying gender and ethnicity and age, capture of highly-transient
    facial expression, and scanning a physical mask to provide ground-truth validation.
author:
- first_name: Thabo
  full_name: Beeler, Thabo
  last_name: Beeler
- first_name: Bernd
  full_name: Bernd Bickel
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
- first_name: Paul
  full_name: Beardsley, Paul A
  last_name: Beardsley
- first_name: Bob
  full_name: Sumner, Bob
  last_name: Sumner
- first_name: Markus
  full_name: Groß, Markus S
  last_name: Groß
citation:
  ama: Beeler T, Bickel B, Beardsley P, Sumner B, Groß M. High-quality single-shot
    capture of facial geometry. <i>ACM Transactions on Graphics</i>. 2010;29(4). doi:<a
    href="https://doi.org/10.1145/1778765.1778777">10.1145/1778765.1778777</a>
  apa: Beeler, T., Bickel, B., Beardsley, P., Sumner, B., &#38; Groß, M. (2010). High-quality
    single-shot capture of facial geometry. <i>ACM Transactions on Graphics</i>. ACM.
    <a href="https://doi.org/10.1145/1778765.1778777">https://doi.org/10.1145/1778765.1778777</a>
  chicago: Beeler, Thabo, Bernd Bickel, Paul Beardsley, Bob Sumner, and Markus Groß.
    “High-Quality Single-Shot Capture of Facial Geometry.” <i>ACM Transactions on
    Graphics</i>. ACM, 2010. <a href="https://doi.org/10.1145/1778765.1778777">https://doi.org/10.1145/1778765.1778777</a>.
  ieee: T. Beeler, B. Bickel, P. Beardsley, B. Sumner, and M. Groß, “High-quality
    single-shot capture of facial geometry,” <i>ACM Transactions on Graphics</i>,
    vol. 29, no. 4. ACM, 2010.
  ista: Beeler T, Bickel B, Beardsley P, Sumner B, Groß M. 2010. High-quality single-shot
    capture of facial geometry. ACM Transactions on Graphics. 29(4).
  mla: Beeler, Thabo, et al. “High-Quality Single-Shot Capture of Facial Geometry.”
    <i>ACM Transactions on Graphics</i>, vol. 29, no. 4, ACM, 2010, doi:<a href="https://doi.org/10.1145/1778765.1778777">10.1145/1778765.1778777</a>.
  short: T. Beeler, B. Bickel, P. Beardsley, B. Sumner, M. Groß, ACM Transactions
    on Graphics 29 (2010).
date_created: 2018-12-11T11:55:41Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:16Z
day: '01'
doi: 10.1145/1778765.1778777
extern: 1
intvolume: '        29'
issue: '4'
main_file_link:
- open_access: '1'
  url: http://e-collection.library.ethz.ch/view/eth:5079
month: '01'
oa: 1
publication: ACM Transactions on Graphics
publication_status: published
publisher: ACM
publist_id: '4938'
quality_controlled: 0
status: public
title: High-quality single-shot capture of facial geometry
type: journal_article
volume: 29
year: '2010'
...
---
_id: '2096'
abstract:
- lang: eng
  text: Point-based graphics has gained much attention as an alternative to polygon-based
    approaches because of its simplicity and flexibility. However, current point-based
    techniques do not provide a sufficient rendering quality for translucent materials
    such as human skin. In this paper, we propose a point-based framework with subsurface
    scattering of light, which is important to create the soft and semi-translucent
    appearance of human skin. To accurately simulate subsurface scattering in multilayered
    materials, we present splat-based diffusion to apply a linear combination of several
    Gaussian basis functions to each splat in object space. Compared to existing point-based
    approaches, our method offers a significantly improved visual quality in rendering
    human faces and provides a similar visual quality to polygon-based rendering using
    the texture space diffusion technique. We demonstrate the effectiveness of our
    approach in rendering scanned faces realistically.
author:
- first_name: Hyeonjoong
  full_name: Kim, Hyeonjoong
  last_name: Kim
- first_name: Bernd
  full_name: Bernd Bickel
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
- first_name: Markus
  full_name: Groß, Markus S
  last_name: Groß
- first_name: Soomi
  full_name: Choi, Soomi
  last_name: Choi
citation:
  ama: 'Kim H, Bickel B, Groß M, Choi S. Subsurface scattering using splat-based diffusion
    in point-based rendering. <i>Science in China, Series F: Information Sciences</i>.
    2010;53(5):911-919. doi:<a href="https://doi.org/10.1007/s11432-010-0068-y">10.1007/s11432-010-0068-y</a>'
  apa: 'Kim, H., Bickel, B., Groß, M., &#38; Choi, S. (2010). Subsurface scattering
    using splat-based diffusion in point-based rendering. <i>Science in China, Series
    F: Information Sciences</i>. Springer. <a href="https://doi.org/10.1007/s11432-010-0068-y">https://doi.org/10.1007/s11432-010-0068-y</a>'
  chicago: 'Kim, Hyeonjoong, Bernd Bickel, Markus Groß, and Soomi Choi. “Subsurface
    Scattering Using Splat-Based Diffusion in Point-Based Rendering.” <i>Science in
    China, Series F: Information Sciences</i>. Springer, 2010. <a href="https://doi.org/10.1007/s11432-010-0068-y">https://doi.org/10.1007/s11432-010-0068-y</a>.'
  ieee: 'H. Kim, B. Bickel, M. Groß, and S. Choi, “Subsurface scattering using splat-based
    diffusion in point-based rendering,” <i>Science in China, Series F: Information
    Sciences</i>, vol. 53, no. 5. Springer, pp. 911–919, 2010.'
  ista: 'Kim H, Bickel B, Groß M, Choi S. 2010. Subsurface scattering using splat-based
    diffusion in point-based rendering. Science in China, Series F: Information Sciences.
    53(5), 911–919.'
  mla: 'Kim, Hyeonjoong, et al. “Subsurface Scattering Using Splat-Based Diffusion
    in Point-Based Rendering.” <i>Science in China, Series F: Information Sciences</i>,
    vol. 53, no. 5, Springer, 2010, pp. 911–19, doi:<a href="https://doi.org/10.1007/s11432-010-0068-y">10.1007/s11432-010-0068-y</a>.'
  short: 'H. Kim, B. Bickel, M. Groß, S. Choi, Science in China, Series F: Information
    Sciences 53 (2010) 911–919.'
date_created: 2018-12-11T11:55:41Z
date_published: 2010-04-14T00:00:00Z
date_updated: 2021-01-12T06:55:16Z
day: '14'
doi: 10.1007/s11432-010-0068-y
extern: 1
intvolume: '        53'
issue: '5'
month: '04'
page: 911 - 919
publication: 'Science in China, Series F: Information Sciences'
publication_status: published
publisher: Springer
publist_id: '4939'
quality_controlled: 0
status: public
title: Subsurface scattering using splat-based diffusion in point-based rendering
type: journal_article
volume: 53
year: '2010'
...
---
_id: '2097'
abstract:
- lang: eng
  text: This paper introduces a data-driven process for designing and fabricating
    materials with desired deformation behavior. Our process starts with measuring
    deformation properties of base materials. For each base material we acquire a
    set of example deformations, and we represent the material as a non-linear stress-strain
    relationship in a finite-element model. We have validated our material measurement
    process by comparing simulations of arbitrary stacks of base materials with measured
    deformations of fabricated material stacks. After material measurement, our process
    continues with designing stacked layers of base materials. We introduce an optimization
    process that finds the best combination of stacked layers that meets a user's
    criteria specified by example deformations. Our algorithm employs a number of
    strategies to prune poor solutions from the combinatorial search space. We demonstrate
    the complete process by designing and fabricating objects with complex heterogeneous
    materials using modern multi-material 3D printers.
acknowledgement: Otaduy was supported in part by the Spanish Dept. of Science and
  Innovation (project TIN-2009-07942).
author:
- first_name: Bernd
  full_name: Bernd Bickel
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
- first_name: Moritz
  full_name: Bac̈her, Moritz
  last_name: Bac̈Her
- first_name: Miguel
  full_name: Otaduy, Miguel A
  last_name: Otaduy
- first_name: Hyunho
  full_name: Lee, Hyunho R
  last_name: Lee
- first_name: Hanspeter
  full_name: Pfister, Hanspeter
  last_name: Pfister
- first_name: Markus
  full_name: Groß, Markus S
  last_name: Groß
- first_name: Wojciech
  full_name: Matusik, Wojciech
  last_name: Matusik
citation:
  ama: Bickel B, Bac̈Her M, Otaduy M, et al. Design and fabrication of materials with
    desired deformation behavior. <i>ACM Transactions on Graphics</i>. 2010;29(4).
    doi:<a href="https://doi.org/10.1145/1778765.1778800">10.1145/1778765.1778800</a>
  apa: Bickel, B., Bac̈Her, M., Otaduy, M., Lee, H., Pfister, H., Groß, M., &#38;
    Matusik, W. (2010). Design and fabrication of materials with desired deformation
    behavior. <i>ACM Transactions on Graphics</i>. ACM. <a href="https://doi.org/10.1145/1778765.1778800">https://doi.org/10.1145/1778765.1778800</a>
  chicago: Bickel, Bernd, Moritz Bac̈Her, Miguel Otaduy, Hyunho Lee, Hanspeter Pfister,
    Markus Groß, and Wojciech Matusik. “Design and Fabrication of Materials with Desired
    Deformation Behavior.” <i>ACM Transactions on Graphics</i>. ACM, 2010. <a href="https://doi.org/10.1145/1778765.1778800">https://doi.org/10.1145/1778765.1778800</a>.
  ieee: B. Bickel <i>et al.</i>, “Design and fabrication of materials with desired
    deformation behavior,” <i>ACM Transactions on Graphics</i>, vol. 29, no. 4. ACM,
    2010.
  ista: Bickel B, Bac̈Her M, Otaduy M, Lee H, Pfister H, Groß M, Matusik W. 2010.
    Design and fabrication of materials with desired deformation behavior. ACM Transactions
    on Graphics. 29(4).
  mla: Bickel, Bernd, et al. “Design and Fabrication of Materials with Desired Deformation
    Behavior.” <i>ACM Transactions on Graphics</i>, vol. 29, no. 4, ACM, 2010, doi:<a
    href="https://doi.org/10.1145/1778765.1778800">10.1145/1778765.1778800</a>.
  short: B. Bickel, M. Bac̈Her, M. Otaduy, H. Lee, H. Pfister, M. Groß, W. Matusik,
    ACM Transactions on Graphics 29 (2010).
date_created: 2018-12-11T11:55:41Z
date_published: 2010-07-01T00:00:00Z
date_updated: 2021-01-12T06:55:17Z
day: '01'
doi: 10.1145/1778765.1778800
extern: 1
intvolume: '        29'
issue: '4'
month: '07'
publication: ACM Transactions on Graphics
publication_status: published
publisher: ACM
publist_id: '4937'
quality_controlled: 0
status: public
title: Design and fabrication of materials with desired deformation behavior
type: journal_article
volume: 29
year: '2010'
...
---
_id: '2124'
abstract:
- lang: eng
  text: We develop a theory of Malliavin calculus for Banach space-valued random variables.
    Using radonifying operators instead of symmetric tensor products we extend the
    Wiener-Itô isometry to Banach spaces. In the white noise case we obtain two sided
    Lp-estimates for multiple stochastic integrals in arbitrary Banach spaces. It
    is shown that the Malliavin derivative is bounded on vector-valued Wiener-Itô
    chaoses. Our main tools are decoupling inequalities for vector-valued random variables.
    In the opposite direction we use Meyer's inequalities to give a new proof of a
    decoupling result for Gaussian chaoses in UMD Banach spaces.
acknowledgement: The author acknowledges support by the ‘VIDI subsidie’ 639.032.201
  of the Netherlands Organisation for Scientific Research (NWO) and the ARC Discovery
  Grant DP0558539.
author:
- first_name: Jan
  full_name: Jan Maas
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
citation:
  ama: Maas J. Malliavin calculus and decoupling inequalities in Banach spaces. <i>Journal
    of Mathematical Analysis and Applications</i>. 2010;363(2):383-398. doi:<a href="https://doi.org/10.1016/j.jmaa.2009.08.041">10.1016/j.jmaa.2009.08.041</a>
  apa: Maas, J. (2010). Malliavin calculus and decoupling inequalities in Banach spaces.
    <i>Journal of Mathematical Analysis and Applications</i>. Academic Press. <a href="https://doi.org/10.1016/j.jmaa.2009.08.041">https://doi.org/10.1016/j.jmaa.2009.08.041</a>
  chicago: Maas, Jan. “Malliavin Calculus and Decoupling Inequalities in Banach Spaces.”
    <i>Journal of Mathematical Analysis and Applications</i>. Academic Press, 2010.
    <a href="https://doi.org/10.1016/j.jmaa.2009.08.041">https://doi.org/10.1016/j.jmaa.2009.08.041</a>.
  ieee: J. Maas, “Malliavin calculus and decoupling inequalities in Banach spaces,”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 363, no. 2. Academic
    Press, pp. 383–398, 2010.
  ista: Maas J. 2010. Malliavin calculus and decoupling inequalities in Banach spaces.
    Journal of Mathematical Analysis and Applications. 363(2), 383–398.
  mla: Maas, Jan. “Malliavin Calculus and Decoupling Inequalities in Banach Spaces.”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 363, no. 2, Academic
    Press, 2010, pp. 383–98, doi:<a href="https://doi.org/10.1016/j.jmaa.2009.08.041">10.1016/j.jmaa.2009.08.041</a>.
  short: J. Maas, Journal of Mathematical Analysis and Applications 363 (2010) 383–398.
date_created: 2018-12-11T11:55:51Z
date_published: 2010-03-15T00:00:00Z
date_updated: 2021-01-12T06:55:27Z
day: '15'
doi: 10.1016/j.jmaa.2009.08.041
extern: 1
intvolume: '       363'
issue: '2'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0801.2899
month: '03'
oa: 1
page: 383 - 398
publication: Journal of Mathematical Analysis and Applications
publication_status: published
publisher: Academic Press
publist_id: '4912'
quality_controlled: 0
status: public
title: Malliavin calculus and decoupling inequalities in Banach spaces
type: journal_article
volume: 363
year: '2010'
...
---
_id: '2194'
abstract:
- lang: eng
  text: We develop an analytic model of vector correlations in rotationally inelastic
    atom-diatom collisions and test it against the much examined Ar-NO (X2Π) system.
    Based on the Fraunhofer scattering of matter waves, the model furnishes complex
    scattering amplitudes needed to evaluate the polarization moments characterizing
    the quantum stereodynamics. The analytic polarization moments are found to be
    in an excellent agreement with experimental results and with close-coupling calculations
    available at thermal energies. The model reveals that the stereodynamics is governed
    by diffraction from the repulsive core of the Ar-NO potential, which can be characterized
    by a single Legendre moment.
author:
- first_name: Mikhail
  full_name: Mikhail Lemeshko
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Břetislav
  full_name: Friedrich, Břetislav
  last_name: Friedrich
citation:
  ama: Lemeshko M, Friedrich B. An analytic model of the stereodynamics of rotationally
    inelastic molecular collisions. <i>Physical Chemistry Chemical Physics</i>. 2010;12(5):1038-1041.
    doi:<a href="https://doi.org/10.1039/B920899B ">10.1039/B920899B </a>
  apa: Lemeshko, M., &#38; Friedrich, B. (2010). An analytic model of the stereodynamics
    of rotationally inelastic molecular collisions. <i>Physical Chemistry Chemical
    Physics</i>. Royal Society of Chemistry. <a href="https://doi.org/10.1039/B920899B
    ">https://doi.org/10.1039/B920899B </a>
  chicago: Lemeshko, Mikhail, and Břetislav Friedrich. “An Analytic Model of the Stereodynamics
    of Rotationally Inelastic Molecular Collisions.” <i>Physical Chemistry Chemical
    Physics</i>. Royal Society of Chemistry, 2010. <a href="https://doi.org/10.1039/B920899B
    ">https://doi.org/10.1039/B920899B </a>.
  ieee: M. Lemeshko and B. Friedrich, “An analytic model of the stereodynamics of
    rotationally inelastic molecular collisions,” <i>Physical Chemistry Chemical Physics</i>,
    vol. 12, no. 5. Royal Society of Chemistry, pp. 1038–1041, 2010.
  ista: Lemeshko M, Friedrich B. 2010. An analytic model of the stereodynamics of
    rotationally inelastic molecular collisions. Physical Chemistry Chemical Physics.
    12(5), 1038–1041.
  mla: Lemeshko, Mikhail, and Břetislav Friedrich. “An Analytic Model of the Stereodynamics
    of Rotationally Inelastic Molecular Collisions.” <i>Physical Chemistry Chemical
    Physics</i>, vol. 12, no. 5, Royal Society of Chemistry, 2010, pp. 1038–41, doi:<a
    href="https://doi.org/10.1039/B920899B ">10.1039/B920899B </a>.
  short: M. Lemeshko, B. Friedrich, Physical Chemistry Chemical Physics 12 (2010)
    1038–1041.
date_created: 2018-12-11T11:56:15Z
date_published: 2010-02-07T00:00:00Z
date_updated: 2021-01-12T06:55:54Z
day: '07'
doi: '10.1039/B920899B '
extern: 1
intvolume: '        12'
issue: '5'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0910.0952
month: '02'
oa: 1
page: 1038 - 1041
publication: Physical Chemistry Chemical Physics
publication_status: published
publisher: Royal Society of Chemistry
publist_id: '4780'
quality_controlled: 0
status: public
title: An analytic model of the stereodynamics of rotationally inelastic molecular
  collisions
type: journal_article
volume: 12
year: '2010'
...
---
_id: '2195'
abstract:
- lang: eng
  text: 'Following upon our recent work on vector correlations in the Ar-NO collisions
    [Lemeshko and Friedrich, Phys. Chem. Chem. Phys. 12, 1038 (2010)], we compare
    model results with close-coupling calculations for a range of channels and collision
    energies for the He-NO system. The striking agreement between the model and exact
    polarization moments indicates that the stereodynamics of rotationally inelastic
    atom-molecule collisions at thermal energies is governed by diffraction of matter
    waves from a two-dimensional repulsive core of the atom-molecule potential. Furthermore,
    the model polarization moments characterizing the He-NO, He- O2, He-OH, and He-CaH
    stereodynamics are found to coalesce into a single, distinctive pattern, which
    can serve as a &quot;fingerprint&quot; to identify diffraction-driven stereodynamics
    in future work. '
acknowledgement: Financial support of the Spanish Ministry of Science and Innovation
  (Grant No. CTQ2008-02578) is gratefully acknowledged.
author:
- first_name: Mikhail
  full_name: Mikhail Lemeshko
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Pablo
  full_name: Jambrina, Pablo G
  last_name: Jambrina
- first_name: Marcelo
  full_name: De Miranda, Marcelo P
  last_name: De Miranda
- first_name: Břetislav
  full_name: Friedrich, Břetislav
  last_name: Friedrich
citation:
  ama: 'Lemeshko M, Jambrina P, De Miranda M, Friedrich B. Communications: When diffraction
    rules the stereodynamics of rotationally inelastic collisions. <i>Journal of Chemical
    Physics</i>. 2010;132(16). doi:<a href="https://doi.org/10.1063/1.3386530">10.1063/1.3386530</a>'
  apa: 'Lemeshko, M., Jambrina, P., De Miranda, M., &#38; Friedrich, B. (2010). Communications:
    When diffraction rules the stereodynamics of rotationally inelastic collisions.
    <i>Journal of Chemical Physics</i>. American Institute of Physics. <a href="https://doi.org/10.1063/1.3386530">https://doi.org/10.1063/1.3386530</a>'
  chicago: 'Lemeshko, Mikhail, Pablo Jambrina, Marcelo De Miranda, and Břetislav Friedrich.
    “Communications: When Diffraction Rules the Stereodynamics of Rotationally Inelastic
    Collisions.” <i>Journal of Chemical Physics</i>. American Institute of Physics,
    2010. <a href="https://doi.org/10.1063/1.3386530">https://doi.org/10.1063/1.3386530</a>.'
  ieee: 'M. Lemeshko, P. Jambrina, M. De Miranda, and B. Friedrich, “Communications:
    When diffraction rules the stereodynamics of rotationally inelastic collisions,”
    <i>Journal of Chemical Physics</i>, vol. 132, no. 16. American Institute of Physics,
    2010.'
  ista: 'Lemeshko M, Jambrina P, De Miranda M, Friedrich B. 2010. Communications:
    When diffraction rules the stereodynamics of rotationally inelastic collisions.
    Journal of Chemical Physics. 132(16).'
  mla: 'Lemeshko, Mikhail, et al. “Communications: When Diffraction Rules the Stereodynamics
    of Rotationally Inelastic Collisions.” <i>Journal of Chemical Physics</i>, vol.
    132, no. 16, American Institute of Physics, 2010, doi:<a href="https://doi.org/10.1063/1.3386530">10.1063/1.3386530</a>.'
  short: M. Lemeshko, P. Jambrina, M. De Miranda, B. Friedrich, Journal of Chemical
    Physics 132 (2010).
date_created: 2018-12-11T11:56:16Z
date_published: 2010-04-28T00:00:00Z
date_updated: 2021-01-12T06:55:54Z
day: '28'
doi: 10.1063/1.3386530
extern: 1
intvolume: '       132'
issue: '16'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1002.1572
month: '04'
oa: 1
publication: Journal of Chemical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '4779'
quality_controlled: 0
status: public
title: 'Communications: When diffraction rules the stereodynamics of rotationally
  inelastic collisions'
type: journal_article
volume: 132
year: '2010'
...
---
_id: '2196'
abstract:
- lang: eng
  text: We evaluate the shifts imparted to vibrational and rotational levels of a
    linear molecule by a nonresonant laser field at intensities of up to 10 12 W/cm2.
    Both types of shift are found to be either positive or negative, depending on
    the initial rotational state acted upon by the field. An adiabatic field-molecule
    interaction imparts a rotational energy shift which is negative and exceeds the
    concomitant positive vibrational shift by a few orders of magnitude. The rovibrational
    states are thus pushed downward in such a field. A nonresonant pulsed laser field
    that interacts nonadiabatically with the molecule is found to impart rotational
    and vibrational shifts of the same order of magnitude. The nonadiabatic energy
    transfer occurs most readily at a pulse duration which amounts to about a tenth
    of the molecule's rotational period and vanishes when the sudden regime is attained
    for shorter pulses. We applied our treatment to the much-studied 87Rb2 molecule
    in the last bound vibrational levels of its lowest singlet and triplet electronic
    states. Our calculations indicate that 15 and 1.5 ns laser pulses of an intensity
    in excess of 5 × 109 W/cm2 are capable of dissociating the molecule due to the
    vibrational shift. Lesser shifts can be used to fine-tune the rovibrational levels
    and thereby affect collisional resonances by the nonresonant light. The energy
    shifts due to laser intensities of 109 W/cm2 may be discernible spectroscopically,
    with a 10 MHz resolution.
author:
- first_name: Mikhail
  full_name: Mikhail Lemeshko
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Břetislav
  full_name: Friedrich, Břetislav
  last_name: Friedrich
citation:
  ama: Lemeshko M, Friedrich B. Fine-tuning molecular energy levels by nonresonant
    laser pulses. <i>Journal of Physical Chemistry A</i>. 2010;114(36):9848-9854.
    doi:<a href="https://doi.org/10.1021/jp1032299">10.1021/jp1032299</a>
  apa: Lemeshko, M., &#38; Friedrich, B. (2010). Fine-tuning molecular energy levels
    by nonresonant laser pulses. <i>Journal of Physical Chemistry A</i>. American
    Chemical Society. <a href="https://doi.org/10.1021/jp1032299">https://doi.org/10.1021/jp1032299</a>
  chicago: Lemeshko, Mikhail, and Břetislav Friedrich. “Fine-Tuning Molecular Energy
    Levels by Nonresonant Laser Pulses.” <i>Journal of Physical Chemistry A</i>. American
    Chemical Society, 2010. <a href="https://doi.org/10.1021/jp1032299">https://doi.org/10.1021/jp1032299</a>.
  ieee: M. Lemeshko and B. Friedrich, “Fine-tuning molecular energy levels by nonresonant
    laser pulses,” <i>Journal of Physical Chemistry A</i>, vol. 114, no. 36. American
    Chemical Society, pp. 9848–9854, 2010.
  ista: Lemeshko M, Friedrich B. 2010. Fine-tuning molecular energy levels by nonresonant
    laser pulses. Journal of Physical Chemistry A. 114(36), 9848–9854.
  mla: Lemeshko, Mikhail, and Břetislav Friedrich. “Fine-Tuning Molecular Energy Levels
    by Nonresonant Laser Pulses.” <i>Journal of Physical Chemistry A</i>, vol. 114,
    no. 36, American Chemical Society, 2010, pp. 9848–54, doi:<a href="https://doi.org/10.1021/jp1032299">10.1021/jp1032299</a>.
  short: M. Lemeshko, B. Friedrich, Journal of Physical Chemistry A 114 (2010) 9848–9854.
date_created: 2018-12-11T11:56:16Z
date_published: 2010-09-16T00:00:00Z
date_updated: 2021-01-12T06:55:55Z
day: '16'
doi: 10.1021/jp1032299
extern: 1
intvolume: '       114'
issue: '36'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1004.1742
month: '09'
oa: 1
page: 9848 - 9854
publication: Journal of Physical Chemistry A
publication_status: published
publisher: American Chemical Society
publist_id: '4777'
quality_controlled: 0
status: public
title: Fine-tuning molecular energy levels by nonresonant laser pulses
type: journal_article
volume: 114
year: '2010'
...
---
_id: '2197'
abstract:
- lang: eng
  text: We present an analytic model of the refractive index for matter waves propagating
    through atomic or molecular gases. The model, which combines the Wentzel-Kramers-Brillouin
    (WKB) treatment of the long-range attraction with the Fraunhofer model treatment
    of the short-range repulsion, furnishes a refractive index in compelling agreement
    with recent experiments of Jacquey [Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.98.240405
    98, 240405 (2007)] on Li atom matter waves passing through dilute noble gases.
    We show that the diffractive contribution, which arises from scattering by a two-dimensional
    &quot;hard core&quot; of the potential, is essential for obtaining a correct imaginary
    part of the refractive index.
author:
- first_name: Mikhail
  full_name: Mikhail Lemeshko
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Břetislav
  full_name: Friedrich, Břetislav
  last_name: Friedrich
citation:
  ama: 'Lemeshko M, Friedrich B. Multiple scattering of matter waves: An analytic
    model of the refractive index for atomic and molecular gases. <i>Physical Review
    A - Atomic, Molecular, and Optical Physics</i>. 2010;82(2). doi:<a href="https://doi.org/10.1103/PhysRevA.82.022711">10.1103/PhysRevA.82.022711</a>'
  apa: 'Lemeshko, M., &#38; Friedrich, B. (2010). Multiple scattering of matter waves:
    An analytic model of the refractive index for atomic and molecular gases. <i>Physical
    Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society.
    <a href="https://doi.org/10.1103/PhysRevA.82.022711">https://doi.org/10.1103/PhysRevA.82.022711</a>'
  chicago: 'Lemeshko, Mikhail, and Břetislav Friedrich. “Multiple Scattering of Matter
    Waves: An Analytic Model of the Refractive Index for Atomic and Molecular Gases.”
    <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical
    Society, 2010. <a href="https://doi.org/10.1103/PhysRevA.82.022711">https://doi.org/10.1103/PhysRevA.82.022711</a>.'
  ieee: 'M. Lemeshko and B. Friedrich, “Multiple scattering of matter waves: An analytic
    model of the refractive index for atomic and molecular gases,” <i>Physical Review
    A - Atomic, Molecular, and Optical Physics</i>, vol. 82, no. 2. American Physical
    Society, 2010.'
  ista: 'Lemeshko M, Friedrich B. 2010. Multiple scattering of matter waves: An analytic
    model of the refractive index for atomic and molecular gases. Physical Review
    A - Atomic, Molecular, and Optical Physics. 82(2).'
  mla: 'Lemeshko, Mikhail, and Břetislav Friedrich. “Multiple Scattering of Matter
    Waves: An Analytic Model of the Refractive Index for Atomic and Molecular Gases.”
    <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 82, no.
    2, American Physical Society, 2010, doi:<a href="https://doi.org/10.1103/PhysRevA.82.022711">10.1103/PhysRevA.82.022711</a>.'
  short: M. Lemeshko, B. Friedrich, Physical Review A - Atomic, Molecular, and Optical
    Physics 82 (2010).
date_created: 2018-12-11T11:56:16Z
date_published: 2010-08-18T00:00:00Z
date_updated: 2021-01-12T06:55:55Z
day: '18'
doi: 10.1103/PhysRevA.82.022711
extern: 1
intvolume: '        82'
issue: '2'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1003.0854
month: '08'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4778'
quality_controlled: 0
status: public
title: 'Multiple scattering of matter waves: An analytic model of the refractive index
  for atomic and molecular gases'
type: journal_article
volume: 82
year: '2010'
...
---
_id: '2309'
abstract:
- lang: eng
  text: The importance of chloride ions in cell physiology has not been fully recognized
    until recently, in spite of the fact that chloride (Cl-), together with bicarbonate,
    is the most abundant free anion in animal cells, and performs or determines fundamental
    biological functions in all tissues. For many years it was thought that Cl- was
    distributed in thermodynamic equilibrium across the plasma membrane of most cells.
    Research carried out during the last couple of decades has led to a dramatic change
    in this simplistic view. We now know that most animal cells, neurons included,
    exhibit a non-equilibrium distribution of Cl- across their plasma membranes. Over
    the last 10 to 15 years, with the growth of molecular biology and the advent of
    new optical methods, an enormous amount of exciting new information has become
    available on the molecular structure and function of Cl- channels and carriers.
    In nerve cells, Cl- channels and carriers play key functional roles in GABA- and
    glycine-mediated synaptic inhibition, neuronal growth and development, extracellular
    potassium scavenging, sensory-transduction, neurotransmitter uptake and cell volume
    control. Disruption of Cl- homeostasis in neurons underlies pathological conditions
    such as epilepsy, deafness, imbalance, brain edema and ischemia, pain and neurogenic
    inflammation. This book is about how chloride ions are regulated and how they
    cross the plasma membrane of neurons. It spans from molecular structure and function
    of carriers and channels involved in Cl- transport to their role in various diseases.
    * The first comprehensive book on the structure, molecular biology, cell physiology,
    and role in diseases of chloride transporters / channels in the nervous system
    in almost 20 years * Chloride is the most abundant free anion in animal cells.
    THis book summarizes and integrates for the first time the important research
    of the past two decades that has shown that Cl- channels and carriers play key
    functional roles in GABA- and glycine-mediated synaptic inhibition, neuronal growth
    and development, extracellular potassium scavenging, sensory-transduction, neurotransmitter
    uptake and cell volume control. * The first book that systematically discusses
    the result of disruption of Cl- homeostasis in neurons which underlies pathological
    conditions such as epilepsy, deafness, imbalance, brain edema and ischemia, pain
    and neurogenic inflammation. * Spanning topics from molecular structure and function
    of carriers and channels involved in Cl- transport to their role in various diseases.
    * Involves all of the leading researchers in the field. * INcludes an extensive
    introductory section that covers basic thermodynamic and kinetics aspects of Cl-
    transport, as well as current methods for studying Cl- regulation, spanning from
    fluorescent dyes in single cells to knock-out models to make the book available
    for a growing population of graduate students and postdocs entering the field.
author:
- first_name: Tobias
  full_name: Stauber, Tobias
  last_name: Stauber
- first_name: Gaia
  full_name: Gaia Novarino
  id: 3E57A680-F248-11E8-B48F-1D18A9856A87
  last_name: Novarino
  orcid: 0000-0002-7673-7178
- first_name: Thomas
  full_name: Jentsch, Thomas J
  last_name: Jentsch
citation:
  ama: 'Stauber T, Novarino G, Jentsch T. The CLC family of chloride channels and
    transporters. In: <i>Physiology and Pathology of Chloride Transporters and Channels
    in the Nervous System</i>. Elsevier; 2010:209-231. doi:<a href="https://doi.org/10.1016/B978-0-12-374373-2.00012-1">10.1016/B978-0-12-374373-2.00012-1</a>'
  apa: Stauber, T., Novarino, G., &#38; Jentsch, T. (2010). The CLC family of chloride
    channels and transporters. In <i>Physiology and Pathology of chloride transporters
    and channels in the nervous system</i> (pp. 209–231). Elsevier. <a href="https://doi.org/10.1016/B978-0-12-374373-2.00012-1">https://doi.org/10.1016/B978-0-12-374373-2.00012-1</a>
  chicago: Stauber, Tobias, Gaia Novarino, and Thomas Jentsch. “The CLC Family of
    Chloride Channels and Transporters.” In <i>Physiology and Pathology of Chloride
    Transporters and Channels in the Nervous System</i>, 209–31. Elsevier, 2010. <a
    href="https://doi.org/10.1016/B978-0-12-374373-2.00012-1">https://doi.org/10.1016/B978-0-12-374373-2.00012-1</a>.
  ieee: T. Stauber, G. Novarino, and T. Jentsch, “The CLC family of chloride channels
    and transporters,” in <i>Physiology and Pathology of chloride transporters and
    channels in the nervous system</i>, Elsevier, 2010, pp. 209–231.
  ista: 'Stauber T, Novarino G, Jentsch T. 2010.The CLC family of chloride channels
    and transporters. In: Physiology and Pathology of chloride transporters and channels
    in the nervous system. , 209–231.'
  mla: Stauber, Tobias, et al. “The CLC Family of Chloride Channels and Transporters.”
    <i>Physiology and Pathology of Chloride Transporters and Channels in the Nervous
    System</i>, Elsevier, 2010, pp. 209–31, doi:<a href="https://doi.org/10.1016/B978-0-12-374373-2.00012-1">10.1016/B978-0-12-374373-2.00012-1</a>.
  short: T. Stauber, G. Novarino, T. Jentsch, in:, Physiology and Pathology of Chloride
    Transporters and Channels in the Nervous System, Elsevier, 2010, pp. 209–231.
date_created: 2018-12-11T11:56:54Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:41Z
day: '01'
doi: 10.1016/B978-0-12-374373-2.00012-1
extern: 1
month: '01'
page: 209 - 231
publication: Physiology and Pathology of chloride transporters and channels in the
  nervous system
publication_status: published
publisher: Elsevier
publist_id: '4616'
quality_controlled: 0
status: public
title: The CLC family of chloride channels and transporters
type: book_chapter
year: '2010'
...
---
_id: '231'
abstract:
- lang: eng
  text: Let X be a projective cubic hypersurface of dimension 11 or more, which is
    defined over ℚ. We show that X(ℚ) is non-empty provided that the cubic form defining
    X can be written as the sum of two forms that share no common variables.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
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: Jean
  full_name: Colliot-Thélène, Jean-Louis
  last_name: Colliot Thélène
citation:
  ama: Browning TD, Colliot Thélène J. Rational points on cubic hypersurfaces that
    split off a form. With an appendix by J-L Colliot-Thélène. <i>Compositio Mathematica</i>.
    2010;146(4):853-885. doi:<a href="https://doi.org/10.1112/S0010437X0900459X">10.1112/S0010437X0900459X</a>
  apa: Browning, T. D., &#38; Colliot Thélène, J. (2010). Rational points on cubic
    hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène.
    <i>Compositio Mathematica</i>. Cambridge University Press. <a href="https://doi.org/10.1112/S0010437X0900459X">https://doi.org/10.1112/S0010437X0900459X</a>
  chicago: Browning, Timothy D, and Jean Colliot Thélène. “Rational Points on Cubic
    Hypersurfaces That Split off a Form. With an Appendix by J-L Colliot-Thélène.”
    <i>Compositio Mathematica</i>. Cambridge University Press, 2010. <a href="https://doi.org/10.1112/S0010437X0900459X">https://doi.org/10.1112/S0010437X0900459X</a>.
  ieee: T. D. Browning and J. Colliot Thélène, “Rational points on cubic hypersurfaces
    that split off a form. With an appendix by J-L Colliot-Thélène,” <i>Compositio
    Mathematica</i>, vol. 146, no. 4. Cambridge University Press, pp. 853–885, 2010.
  ista: Browning TD, Colliot Thélène J. 2010. Rational points on cubic hypersurfaces
    that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica.
    146(4), 853–885.
  mla: Browning, Timothy D., and Jean Colliot Thélène. “Rational Points on Cubic Hypersurfaces
    That Split off a Form. With an Appendix by J-L Colliot-Thélène.” <i>Compositio
    Mathematica</i>, vol. 146, no. 4, Cambridge University Press, 2010, pp. 853–85,
    doi:<a href="https://doi.org/10.1112/S0010437X0900459X">10.1112/S0010437X0900459X</a>.
  short: T.D. Browning, J. Colliot Thélène, Compositio Mathematica 146 (2010) 853–885.
date_created: 2018-12-11T11:45:20Z
date_published: 2010-02-15T00:00:00Z
date_updated: 2021-01-12T06:56:41Z
day: '15'
doi: 10.1112/S0010437X0900459X
extern: 1
intvolume: '       146'
issue: '4'
month: '02'
page: 853 - 885
publication: Compositio Mathematica
publication_status: published
publisher: Cambridge University Press
publist_id: '7673'
quality_controlled: 0
status: public
title: Rational points on cubic hypersurfaces that split off a form. With an appendix
  by J-L Colliot-Thélène
type: journal_article
volume: 146
year: '2010'
...
---
_id: '2310'
abstract:
- lang: eng
  text: Loss of the endosomal anion transport protein ClC-5 impairs renal endocytosis
    and underlies human Dent's disease. ClC-5 is thought to promote endocytosis by
    facilitating endosomal acidification through the neutralization of proton pump
    currents. However, ClC-5 is a 2 chloride (Cl-)/proton (H+) exchanger rather than
    a Cl- channel. We generated mice that carry the uncoupling E211A (unc) mutation
    that converts CLC-5 into a pure CL- conductor. Adenosine triphosphate (ATP)-dependent
    acidification of renal endosomes was reduced in mice in which ClC-5 was knocked
    out, but normal in Clcn5unc mice. However, their proximal tubular endocytosis
    was also impaired. Thus, endosomal chloride concentration, which is raised by
    CLC-5 in exchange for protons accumulated by the H+-ATPase, may play a role in
    endocytosis.
author:
- first_name: Gaia
  full_name: Gaia Novarino
  id: 3E57A680-F248-11E8-B48F-1D18A9856A87
  last_name: Novarino
  orcid: 0000-0002-7673-7178
- first_name: Stefanie
  full_name: Weinert, Stefanie
  last_name: Weinert
- first_name: Gesa
  full_name: Rickheit, Gesa
  last_name: Rickheit
- first_name: Thomas
  full_name: Jentsch, Thomas J
  last_name: Jentsch
citation:
  ama: Novarino G, Weinert S, Rickheit G, Jentsch T. Endosomal chloride-proton exchange
    rather than chloride conductance is crucial for renal endocytosis. <i>Science</i>.
    2010;328(5984):1398-1401. doi:<a href="https://doi.org/10.1126/science.1188070">10.1126/science.1188070</a>
  apa: Novarino, G., Weinert, S., Rickheit, G., &#38; Jentsch, T. (2010). Endosomal
    chloride-proton exchange rather than chloride conductance is crucial for renal
    endocytosis. <i>Science</i>. American Association for the Advancement of Science.
    <a href="https://doi.org/10.1126/science.1188070">https://doi.org/10.1126/science.1188070</a>
  chicago: Novarino, Gaia, Stefanie Weinert, Gesa Rickheit, and Thomas Jentsch. “Endosomal
    Chloride-Proton Exchange Rather than Chloride Conductance Is Crucial for Renal
    Endocytosis.” <i>Science</i>. American Association for the Advancement of Science,
    2010. <a href="https://doi.org/10.1126/science.1188070">https://doi.org/10.1126/science.1188070</a>.
  ieee: G. Novarino, S. Weinert, G. Rickheit, and T. Jentsch, “Endosomal chloride-proton
    exchange rather than chloride conductance is crucial for renal endocytosis,” <i>Science</i>,
    vol. 328, no. 5984. American Association for the Advancement of Science, pp. 1398–1401,
    2010.
  ista: Novarino G, Weinert S, Rickheit G, Jentsch T. 2010. Endosomal chloride-proton
    exchange rather than chloride conductance is crucial for renal endocytosis. Science.
    328(5984), 1398–1401.
  mla: Novarino, Gaia, et al. “Endosomal Chloride-Proton Exchange Rather than Chloride
    Conductance Is Crucial for Renal Endocytosis.” <i>Science</i>, vol. 328, no. 5984,
    American Association for the Advancement of Science, 2010, pp. 1398–401, doi:<a
    href="https://doi.org/10.1126/science.1188070">10.1126/science.1188070</a>.
  short: G. Novarino, S. Weinert, G. Rickheit, T. Jentsch, Science 328 (2010) 1398–1401.
date_created: 2018-12-11T11:56:55Z
date_published: 2010-06-11T00:00:00Z
date_updated: 2021-01-12T06:56:42Z
day: '11'
doi: 10.1126/science.1188070
extern: 1
intvolume: '       328'
issue: '5984'
month: '06'
page: 1398 - 1401
publication: Science
publication_status: published
publisher: American Association for the Advancement of Science
publist_id: '4617'
quality_controlled: 0
status: public
title: Endosomal chloride-proton exchange rather than chloride conductance is crucial
  for renal endocytosis
type: journal_article
volume: 328
year: '2010'
...
---
_id: '2311'
abstract:
- lang: eng
  text: Inactivation of the mainly endosomal 2Cl-/H+- exchanger ClC-5 severely impairs
    endocytosis in renal proximal tubules and underlies the human kidney stone disorder
    Dent's disease. In heterologous expression systems, interaction of the E3 ubiquitin
    ligasesWWP2and Nedd4-2 with a &quot;PY-motif&quot; in the cytoplasmic C terminus
    of ClC-5 stimulates its internalization from the plasma membrane and may influence
    receptor-mediated endocytosis. We asked whether this interaction is relevant in
    vivo and generated mice in which the PY-motif was destroyed by a point mutation.
    Unlike ClC-5 knock-out mice, these knock-in mice displayed neither low molecular
    weight proteinuria nor hyperphosphaturia, and both receptor-mediated and fluid-phase
    endocytosis were normal. The abundances and localizations of the endocytic receptor
    megalin and of the Na+-coupled phosphate transporter NaPi-2a (Npt2) were not changed,
    either. To explore whether the discrepancy in results from heterologous expression
    studies might be due to heteromerization of ClC-5 with ClC-3 or ClC-4 in vivo,
    we studied knock-in mice additionally deleted for those related transporters.
    Disruption of neither ClC-3 nor ClC-4 led to proteinuria or impaired proximal
    tubular endocytosis by itself, nor in combination with the PY-mutant of ClC-5.
    Endocytosis of cells lacking ClC-5 was not impaired further when ClC-3 or ClC-4
    was additionally deleted. We conclude that ClC-5 is unique among CLC proteins
    in being crucial for proximal tubular endocytosis and that PY-motif-dependent
    ubiquitylation of ClC-5 is dispensable for this role.
author:
- first_name: Gesa
  full_name: Rickheit, Gesa
  last_name: Rickheit
- first_name: Lena
  full_name: Wartosch, Lena
  last_name: Wartosch
- first_name: Sven
  full_name: Schaffer, Sven
  last_name: Schaffer
- first_name: Sandra
  full_name: Stobrawa, Sandra M
  last_name: Stobrawa
- first_name: Gaia
  full_name: Gaia Novarino
  id: 3E57A680-F248-11E8-B48F-1D18A9856A87
  last_name: Novarino
  orcid: 0000-0002-7673-7178
- first_name: Stefanie
  full_name: Weinert, Stefanie
  last_name: Weinert
- first_name: Thomas
  full_name: Jentsch, Thomas J
  last_name: Jentsch
citation:
  ama: Rickheit G, Wartosch L, Schaffer S, et al. Role of ClC-5 in renal endocytosis
    is unique among ClC exchangers and does not require PY-motif-dependent ubiquitylation.
    <i>Journal of Biological Chemistry</i>. 2010;285(23):17595-17603. doi:<a href="https://doi.org/10.1074/jbc.M110.115600">10.1074/jbc.M110.115600</a>
  apa: Rickheit, G., Wartosch, L., Schaffer, S., Stobrawa, S., Novarino, G., Weinert,
    S., &#38; Jentsch, T. (2010). Role of ClC-5 in renal endocytosis is unique among
    ClC exchangers and does not require PY-motif-dependent ubiquitylation. <i>Journal
    of Biological Chemistry</i>. American Society for Biochemistry and Molecular Biology.
    <a href="https://doi.org/10.1074/jbc.M110.115600">https://doi.org/10.1074/jbc.M110.115600</a>
  chicago: Rickheit, Gesa, Lena Wartosch, Sven Schaffer, Sandra Stobrawa, Gaia Novarino,
    Stefanie Weinert, and Thomas Jentsch. “Role of ClC-5 in Renal Endocytosis Is Unique
    among ClC Exchangers and Does Not Require PY-Motif-Dependent Ubiquitylation.”
    <i>Journal of Biological Chemistry</i>. American Society for Biochemistry and
    Molecular Biology, 2010. <a href="https://doi.org/10.1074/jbc.M110.115600">https://doi.org/10.1074/jbc.M110.115600</a>.
  ieee: G. Rickheit <i>et al.</i>, “Role of ClC-5 in renal endocytosis is unique among
    ClC exchangers and does not require PY-motif-dependent ubiquitylation,” <i>Journal
    of Biological Chemistry</i>, vol. 285, no. 23. American Society for Biochemistry
    and Molecular Biology, pp. 17595–17603, 2010.
  ista: Rickheit G, Wartosch L, Schaffer S, Stobrawa S, Novarino G, Weinert S, Jentsch
    T. 2010. Role of ClC-5 in renal endocytosis is unique among ClC exchangers and
    does not require PY-motif-dependent ubiquitylation. Journal of Biological Chemistry.
    285(23), 17595–17603.
  mla: Rickheit, Gesa, et al. “Role of ClC-5 in Renal Endocytosis Is Unique among
    ClC Exchangers and Does Not Require PY-Motif-Dependent Ubiquitylation.” <i>Journal
    of Biological Chemistry</i>, vol. 285, no. 23, American Society for Biochemistry
    and Molecular Biology, 2010, pp. 17595–603, doi:<a href="https://doi.org/10.1074/jbc.M110.115600">10.1074/jbc.M110.115600</a>.
  short: G. Rickheit, L. Wartosch, S. Schaffer, S. Stobrawa, G. Novarino, S. Weinert,
    T. Jentsch, Journal of Biological Chemistry 285 (2010) 17595–17603.
date_created: 2018-12-11T11:56:55Z
date_published: 2010-06-04T00:00:00Z
date_updated: 2021-01-12T06:56:42Z
day: '04'
doi: 10.1074/jbc.M110.115600
extern: 1
intvolume: '       285'
issue: '23'
month: '06'
page: 17595 - 17603
publication: Journal of Biological Chemistry
publication_status: published
publisher: American Society for Biochemistry and Molecular Biology
publist_id: '4618'
quality_controlled: 0
status: public
title: Role of ClC-5 in renal endocytosis is unique among ClC exchangers and does
  not require PY-motif-dependent ubiquitylation
type: journal_article
volume: 285
year: '2010'
...
---
_id: '232'
abstract:
- lang: eng
  text: We study the average order of the divisor function, as it ranges over the
    values of binary quartic forms that are reducible over ℚ.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Régis
  full_name: De La Bretèche, Régis
  last_name: De La Bretèche
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: De La Bretèche R, Browning TD. Le problème des diviseurs pour des formes binaires
    de degré 4. <i>Journal fur die Reine und Angewandte Mathematik</i>. 2010;(646):1-44.
    doi:<a href="https://doi.org/10.1515/CRELLE.2010.064">10.1515/CRELLE.2010.064</a>
  apa: De La Bretèche, R., &#38; Browning, T. D. (2010). Le problème des diviseurs
    pour des formes binaires de degré 4. <i>Journal Fur Die Reine Und Angewandte Mathematik</i>.
    Walter de Gruyter. <a href="https://doi.org/10.1515/CRELLE.2010.064">https://doi.org/10.1515/CRELLE.2010.064</a>
  chicago: De La Bretèche, Régis, and Timothy D Browning. “Le Problème Des Diviseurs
    Pour Des Formes Binaires de Degré 4.” <i>Journal Fur Die Reine Und Angewandte
    Mathematik</i>. Walter de Gruyter, 2010. <a href="https://doi.org/10.1515/CRELLE.2010.064">https://doi.org/10.1515/CRELLE.2010.064</a>.
  ieee: R. De La Bretèche and T. D. Browning, “Le problème des diviseurs pour des
    formes binaires de degré 4,” <i>Journal fur die Reine und Angewandte Mathematik</i>,
    no. 646. Walter de Gruyter, pp. 1–44, 2010.
  ista: De La Bretèche R, Browning TD. 2010. Le problème des diviseurs pour des formes
    binaires de degré 4. Journal fur die Reine und Angewandte Mathematik. (646), 1–44.
  mla: De La Bretèche, Régis, and Timothy D. Browning. “Le Problème Des Diviseurs
    Pour Des Formes Binaires de Degré 4.” <i>Journal Fur Die Reine Und Angewandte
    Mathematik</i>, no. 646, Walter de Gruyter, 2010, pp. 1–44, doi:<a href="https://doi.org/10.1515/CRELLE.2010.064">10.1515/CRELLE.2010.064</a>.
  short: R. De La Bretèche, T.D. Browning, Journal Fur Die Reine Und Angewandte Mathematik
    (2010) 1–44.
date_created: 2018-12-11T11:45:20Z
date_published: 2010-09-17T00:00:00Z
date_updated: 2021-01-12T06:56:45Z
day: '17'
doi: 10.1515/CRELLE.2010.064
extern: '1'
external_id:
  arxiv:
  - '0808.2340'
issue: '646'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/0808.2340
month: '09'
oa: 1
oa_version: Preprint
page: 1 - 44
publication: Journal fur die Reine und Angewandte Mathematik
publication_status: published
publisher: Walter de Gruyter
publist_id: '7672'
quality_controlled: '1'
status: public
title: Le problème des diviseurs pour des formes binaires de degré 4
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2010'
...
---
_id: '2322'
author:
- first_name: Rupert
  full_name: Frank, Rupert L
  last_name: Frank
- 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: 'Frank R, Lieb É, Seiringer R.  Equivalence of Sobolev inequalities and Lieb-Thirring
    inequalities. In: World Scientific Publishing; 2010:523-535. doi:<a href="https://doi.org/10.1142/9789814304634_0045
    ">10.1142/9789814304634_0045 </a>'
  apa: 'Frank, R., Lieb, É., &#38; Seiringer, R. (2010).  Equivalence of Sobolev inequalities
    and Lieb-Thirring inequalities (pp. 523–535). Presented at the ICMP: International
    Congress on Mathematical Physics, World Scientific Publishing. <a href="https://doi.org/10.1142/9789814304634_0045
    ">https://doi.org/10.1142/9789814304634_0045 </a>'
  chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “ Equivalence of Sobolev
    Inequalities and Lieb-Thirring Inequalities,” 523–35. World Scientific Publishing,
    2010. <a href="https://doi.org/10.1142/9789814304634_0045 ">https://doi.org/10.1142/9789814304634_0045
    </a>.
  ieee: 'R. Frank, É. Lieb, and R. Seiringer, “ Equivalence of Sobolev inequalities
    and Lieb-Thirring inequalities,” presented at the ICMP: International Congress
    on Mathematical Physics, 2010, pp. 523–535.'
  ista: 'Frank R, Lieb É, Seiringer R. 2010.  Equivalence of Sobolev inequalities
    and Lieb-Thirring inequalities. ICMP: International Congress on Mathematical Physics,
    523–535.'
  mla: Frank, Rupert, et al. <i> Equivalence of Sobolev Inequalities and Lieb-Thirring
    Inequalities</i>. World Scientific Publishing, 2010, pp. 523–35, doi:<a href="https://doi.org/10.1142/9789814304634_0045
    ">10.1142/9789814304634_0045 </a>.
  short: R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010,
    pp. 523–535.
conference:
  name: 'ICMP: International Congress on Mathematical Physics'
date_created: 2018-12-11T11:56:59Z
date_published: 2010-03-31T00:00:00Z
date_updated: 2021-01-12T06:56:46Z
day: '31'
doi: '10.1142/9789814304634_0045 '
extern: 1
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0909.5449
month: '03'
oa: 1
page: 523 - 535
publication_status: published
publisher: World Scientific Publishing
publist_id: '4605'
quality_controlled: 0
status: public
title: ' Equivalence of Sobolev inequalities and Lieb-Thirring inequalities'
type: conference
year: '2010'
...
---
_id: '2323'
abstract:
- lang: eng
  text: Since the first experimental realization of Bose-Einstein condensation in
    cold atomic gases in 1995 there has been a surge of activity in this field. Ingenious
    experiments have allowed us to probe matter close to zero temperature and reveal
    some of the fascinating effects quantum mechanics has bestowed on nature. It is
    a challenge for mathematical physicists to understand these various phenomena
    from first principles, that is, starting from the underlying many-body Schrödinger
    equation. Recent progress in this direction concerns mainly equilibrium properties
    of dilute, cold quantum gases. We shall explain some of the results in this article,
    and describe the mathematics involved in understanding these phenomena. Topics
    include the ground state energy and the free energy at positive temperature, the
    effect of interparticle interaction on the critical temperature for Bose-Einstein
    condensation, as well as the occurrence of superfluidity and quantized vortices
    in rapidly rotating gases.
author:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Seiringer R. Hot topics on cold gases. In: World Scientific Publishing; 2010:231-245.
    doi:<a href="https://doi.org/10.1142/9789814304634_0013">10.1142/9789814304634_0013</a>'
  apa: 'Seiringer, R. (2010). Hot topics on cold gases (pp. 231–245). Presented at
    the ICMP: International Congress on Mathematical Physics, World Scientific Publishing.
    <a href="https://doi.org/10.1142/9789814304634_0013">https://doi.org/10.1142/9789814304634_0013</a>'
  chicago: Seiringer, Robert. “Hot Topics on Cold Gases,” 231–45. World Scientific
    Publishing, 2010. <a href="https://doi.org/10.1142/9789814304634_0013">https://doi.org/10.1142/9789814304634_0013</a>.
  ieee: 'R. Seiringer, “Hot topics on cold gases,” presented at the ICMP: International
    Congress on Mathematical Physics, 2010, pp. 231–245.'
  ista: 'Seiringer R. 2010. Hot topics on cold gases. ICMP: International Congress
    on Mathematical Physics, 231–245.'
  mla: Seiringer, Robert. <i>Hot Topics on Cold Gases</i>. World Scientific Publishing,
    2010, pp. 231–45, doi:<a href="https://doi.org/10.1142/9789814304634_0013">10.1142/9789814304634_0013</a>.
  short: R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
conference:
  name: 'ICMP: International Congress on Mathematical Physics'
date_created: 2018-12-11T11:56:59Z
date_published: 2010-03-31T00:00:00Z
date_updated: 2021-01-12T06:56:46Z
day: '31'
doi: 10.1142/9789814304634_0013
extern: 1
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0908.3686
month: '03'
oa: 1
page: 231 - 245
publication_status: published
publisher: World Scientific Publishing
publist_id: '4604'
quality_controlled: 0
status: public
title: Hot topics on cold gases
type: conference
year: '2010'
...
---
_id: '2324'
abstract:
- lang: eng
  text: We determine the sharp constant in the Hardy inequality for fractional Sobolev
    spaces on half-spaces. Our proof relies on a nonlinear and nonlocal version of
    the ground state representation.
alternative_title:
- International Mathematical Series
author:
- first_name: Rupert
  full_name: Frank, Rupert L
  last_name: Frank
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Frank R, Seiringer R. Sharp fractional Hardy inequalities in half-spaces.
    In: <i>Around the Research of Vladimir Maz’ya I</i>. Vol 11. Springer; 2010:161-167.
    doi:<a href="https://doi.org/10.1007/978-1-4419-1341-8_6">10.1007/978-1-4419-1341-8_6</a>'
  apa: Frank, R., &#38; Seiringer, R. (2010). Sharp fractional Hardy inequalities
    in half-spaces. In <i>Around the Research of Vladimir Maz’ya I</i> (Vol. 11, pp.
    161–167). Springer. <a href="https://doi.org/10.1007/978-1-4419-1341-8_6">https://doi.org/10.1007/978-1-4419-1341-8_6</a>
  chicago: Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities
    in Half-Spaces.” In <i>Around the Research of Vladimir Maz’ya I</i>, 11:161–67.
    Springer, 2010. <a href="https://doi.org/10.1007/978-1-4419-1341-8_6">https://doi.org/10.1007/978-1-4419-1341-8_6</a>.
  ieee: R. Frank and R. Seiringer, “Sharp fractional Hardy inequalities in half-spaces,”
    in <i>Around the Research of Vladimir Maz’ya I</i>, vol. 11, Springer, 2010, pp.
    161–167.
  ista: 'Frank R, Seiringer R. 2010.Sharp fractional Hardy inequalities in half-spaces.
    In: Around the Research of Vladimir Maz’ya I. International Mathematical Series,
    vol. 11, 161–167.'
  mla: Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in
    Half-Spaces.” <i>Around the Research of Vladimir Maz’ya I</i>, vol. 11, Springer,
    2010, pp. 161–67, doi:<a href="https://doi.org/10.1007/978-1-4419-1341-8_6">10.1007/978-1-4419-1341-8_6</a>.
  short: R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer,
    2010, pp. 161–167.
date_created: 2018-12-11T11:56:59Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:46Z
day: '01'
doi: 10.1007/978-1-4419-1341-8_6
extern: 1
intvolume: '        11'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0906.1561
month: '01'
oa: 1
page: 161 - 167
publication: Around the Research of Vladimir Maz'ya I
publication_status: published
publisher: Springer
publist_id: '4603'
quality_controlled: 0
status: public
title: Sharp fractional Hardy inequalities in half-spaces
type: book_chapter
volume: 11
year: '2010'
...
---
_id: '2389'
abstract:
- lang: eng
  text: We study the eigenvalues of Schrödinger type operators T + λV and their asymptotic
    behavior in the small coupling limit λ → 0, in the case where the symbol of the
    kinetic energy, T (p), strongly degenerates on a non-trivial manifold of codimension
    one.
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Hainzl C, Seiringer R. Asymptotic behavior of eigenvalues of Schrödinger type
    operators with degenerate kinetic energy. <i>Mathematische Nachrichten</i>. 2010;283(3):489-499.
    doi:<a href="https://doi.org/10.1002/mana.200810195">10.1002/mana.200810195</a>
  apa: Hainzl, C., &#38; Seiringer, R. (2010). Asymptotic behavior of eigenvalues
    of Schrödinger type operators with degenerate kinetic energy. <i>Mathematische
    Nachrichten</i>. Wiley-Blackwell. <a href="https://doi.org/10.1002/mana.200810195">https://doi.org/10.1002/mana.200810195</a>
  chicago: Hainzl, Christian, and Robert Seiringer. “Asymptotic Behavior of Eigenvalues
    of Schrödinger Type Operators with Degenerate Kinetic Energy.” <i>Mathematische
    Nachrichten</i>. Wiley-Blackwell, 2010. <a href="https://doi.org/10.1002/mana.200810195">https://doi.org/10.1002/mana.200810195</a>.
  ieee: C. Hainzl and R. Seiringer, “Asymptotic behavior of eigenvalues of Schrödinger
    type operators with degenerate kinetic energy,” <i>Mathematische Nachrichten</i>,
    vol. 283, no. 3. Wiley-Blackwell, pp. 489–499, 2010.
  ista: Hainzl C, Seiringer R. 2010. Asymptotic behavior of eigenvalues of Schrödinger
    type operators with degenerate kinetic energy. Mathematische Nachrichten. 283(3),
    489–499.
  mla: Hainzl, Christian, and Robert Seiringer. “Asymptotic Behavior of Eigenvalues
    of Schrödinger Type Operators with Degenerate Kinetic Energy.” <i>Mathematische
    Nachrichten</i>, vol. 283, no. 3, Wiley-Blackwell, 2010, pp. 489–99, doi:<a href="https://doi.org/10.1002/mana.200810195">10.1002/mana.200810195</a>.
  short: C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
date_created: 2018-12-11T11:57:23Z
date_published: 2010-03-01T00:00:00Z
date_updated: 2021-01-12T06:57:11Z
day: '01'
doi: 10.1002/mana.200810195
extern: 1
intvolume: '       283'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0808.3737
month: '03'
oa: 1
page: 489 - 499
publication: Mathematische Nachrichten
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4537'
quality_controlled: 0
status: public
title: Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate
  kinetic energy
type: journal_article
volume: 283
year: '2010'
...
---
_id: '2392'
abstract:
- lang: eng
  text: The binding of polarons, or its absence, is an old and subtle topic. Here
    we prove two things rigorously. First, the transition from many-body collapse
    to the existence of a thermodynamic limit for N polarons occurs precisely at U=2α,
    where U is the electronic Coulomb repulsion and α is the polaron coupling constant.
    Second, if U is large enough, there is no multipolaron binding of any kind. Considering
    the known fact that there is binding for some U&gt;2α, these conclusions are not
    obvious and their proof has been an open problem for some time.
author:
- first_name: Rupert
  full_name: Frank, Rupert L
  last_name: Frank
- 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: Lawrence
  full_name: Thomas, Lawrence E
  last_name: Thomas
citation:
  ama: Frank R, Lieb É, Seiringer R, Thomas L. Bipolaron and N-polaron binding energies.
    <i>Physical Review Letters</i>. 2010;104(21). doi:<a href="https://doi.org/10.1103/PhysRevLett.104.210402">10.1103/PhysRevLett.104.210402</a>
  apa: Frank, R., Lieb, É., Seiringer, R., &#38; Thomas, L. (2010). Bipolaron and
    N-polaron binding energies. <i>Physical Review Letters</i>. American Physical
    Society. <a href="https://doi.org/10.1103/PhysRevLett.104.210402">https://doi.org/10.1103/PhysRevLett.104.210402</a>
  chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Bipolaron
    and N-Polaron Binding Energies.” <i>Physical Review Letters</i>. American Physical
    Society, 2010. <a href="https://doi.org/10.1103/PhysRevLett.104.210402">https://doi.org/10.1103/PhysRevLett.104.210402</a>.
  ieee: R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Bipolaron and N-polaron binding
    energies,” <i>Physical Review Letters</i>, vol. 104, no. 21. American Physical
    Society, 2010.
  ista: Frank R, Lieb É, Seiringer R, Thomas L. 2010. Bipolaron and N-polaron binding
    energies. Physical Review Letters. 104(21).
  mla: Frank, Rupert, et al. “Bipolaron and N-Polaron Binding Energies.” <i>Physical
    Review Letters</i>, vol. 104, no. 21, American Physical Society, 2010, doi:<a
    href="https://doi.org/10.1103/PhysRevLett.104.210402">10.1103/PhysRevLett.104.210402</a>.
  short: R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
date_created: 2018-12-11T11:57:24Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:12Z
day: '01'
doi: 10.1103/PhysRevLett.104.210402
extern: 1
intvolume: '       104'
issue: '21'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1004.1196
month: '01'
oa: 1
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '4536'
quality_controlled: 0
status: public
title: Bipolaron and N-polaron binding energies
type: journal_article
volume: 104
year: '2010'
...
