---
_id: '1797'
abstract:
- lang: eng
  text: Intrinsically photosensitive melanopsin-containing retinal ganglion cells
    (ipRGCs) control important physiological processes, including the circadian rhythm,
    the pupillary reflex, and the suppression of locomotor behavior (reviewed in [1]).
    ipRGCs are also activated by classical photoreceptors, the rods and cones, through
    local retinal circuits [2, 3]. ipRGCs can be transsynaptically labeled through
    the pupillary-reflex circuit with the derivatives of the Bartha strain of the
    alphaherpesvirus pseudorabies virus(PRV) [4, 5] that express GFP [6-12]. Bartha-strain
    derivatives spread only in the retrograde direction [13]. There is evidence that
    infected cells function normally for a while during GFP expression [7]. Here we
    combine transsynaptic PRV labeling, two-photon laser microscopy, and electrophysiological
    techniques to trace the local circuit of different ipRGC subtypes in the mouse
    retina and record light-evoked activity from the transsynaptically labeled ganglion
    cells. First, we show that ipRGCs are connected by monostratified amacrine cells
    that provide strong inhibition from classical-photoreceptor-driven circuits. Second,
    we show evidence that dopaminergic interplexiform cells are synaptically connected
    to ipRGCs. The latter finding provides a circuitry link between light-dark adaptation
    and ipRGC function.
acknowledgement: This study was supported by Office of Naval Research Multidisciplinary
  University Research Initiative [ONR MURI] and Naval International Cooperative Opportunities
  in Science and Technology Program [NICOP] grants, a Marie Curie Excellence Grant,
  a Human Frontier Science Program [HFSP] Young Investigator grant, and Friedrich
  Miescher Institute funds to B.R.
author:
- first_name: Tim
  full_name: Viney, Tim J
  last_name: Viney
- first_name: Kamill
  full_name: Bálint, Kamill
  last_name: Bálint
- first_name: Dániel
  full_name: Hillier, Dániel
  last_name: Hillier
- first_name: Sandra
  full_name: Sandra Siegert
  id: 36ACD32E-F248-11E8-B48F-1D18A9856A87
  last_name: Siegert
  orcid: 0000-0001-8635-0877
- first_name: Zsolt
  full_name: Boldogköi, Zsolt S
  last_name: Boldogköi
- first_name: Lynn
  full_name: Enquist, Lynn W
  last_name: Enquist
- first_name: Markus
  full_name: Meister, Markus
  last_name: Meister
- first_name: Constance
  full_name: Cepko, Constance L
  last_name: Cepko
- first_name: Botond
  full_name: Roska, Botond M
  last_name: Roska
citation:
  ama: Viney T, Bálint K, Hillier D, et al. Local retinal circuits of melanopsin-containing
    ganglion cells identified by transsynaptic viral tracing. <i>Current Biology</i>.
    2007;17(11):981-988. doi:<a href="https://doi.org/10.1016/j.cub.2007.04.058">10.1016/j.cub.2007.04.058</a>
  apa: Viney, T., Bálint, K., Hillier, D., Siegert, S., Boldogköi, Z., Enquist, L.,
    … Roska, B. (2007). Local retinal circuits of melanopsin-containing ganglion cells
    identified by transsynaptic viral tracing. <i>Current Biology</i>. Cell Press.
    <a href="https://doi.org/10.1016/j.cub.2007.04.058">https://doi.org/10.1016/j.cub.2007.04.058</a>
  chicago: Viney, Tim, Kamill Bálint, Dániel Hillier, Sandra Siegert, Zsolt Boldogköi,
    Lynn Enquist, Markus Meister, Constance Cepko, and Botond Roska. “Local Retinal
    Circuits of Melanopsin-Containing Ganglion Cells Identified by Transsynaptic Viral
    Tracing.” <i>Current Biology</i>. Cell Press, 2007. <a href="https://doi.org/10.1016/j.cub.2007.04.058">https://doi.org/10.1016/j.cub.2007.04.058</a>.
  ieee: T. Viney <i>et al.</i>, “Local retinal circuits of melanopsin-containing ganglion
    cells identified by transsynaptic viral tracing,” <i>Current Biology</i>, vol.
    17, no. 11. Cell Press, pp. 981–988, 2007.
  ista: Viney T, Bálint K, Hillier D, Siegert S, Boldogköi Z, Enquist L, Meister M,
    Cepko C, Roska B. 2007. Local retinal circuits of melanopsin-containing ganglion
    cells identified by transsynaptic viral tracing. Current Biology. 17(11), 981–988.
  mla: Viney, Tim, et al. “Local Retinal Circuits of Melanopsin-Containing Ganglion
    Cells Identified by Transsynaptic Viral Tracing.” <i>Current Biology</i>, vol.
    17, no. 11, Cell Press, 2007, pp. 981–88, doi:<a href="https://doi.org/10.1016/j.cub.2007.04.058">10.1016/j.cub.2007.04.058</a>.
  short: T. Viney, K. Bálint, D. Hillier, S. Siegert, Z. Boldogköi, L. Enquist, M.
    Meister, C. Cepko, B. Roska, Current Biology 17 (2007) 981–988.
date_created: 2018-12-11T11:54:04Z
date_published: 2007-06-05T00:00:00Z
date_updated: 2021-01-12T06:53:15Z
day: '05'
doi: 10.1016/j.cub.2007.04.058
extern: 1
intvolume: '        17'
issue: '11'
month: '06'
page: 981 - 988
publication: Current Biology
publication_status: published
publisher: Cell Press
publist_id: '5313'
quality_controlled: 0
status: public
title: Local retinal circuits of melanopsin-containing ganglion cells identified by
  transsynaptic viral tracing
type: journal_article
volume: 17
year: '2007'
...
---
_id: '1964'
abstract:
- lang: eng
  text: Complex I of respiratory chains plays a central role in cellular energy production.
    Mutations in its subunits lead to many human neurodegenerative diseases. Recently,
    a first atomic structure of the hydrophilic domain of complex I from Thermus thermophilus
    was determined. This domain represents a catalytic core of the enzyme. It consists
    of eight different subunits, contains all the redox centers, and comprises more
    than half of the entire complex. In this review, novel mechanistic implications
    of the structure are discussed, and the effects of many known mutations of complex
    I subunits are interpreted in a structural context.
author:
- first_name: Leonid A
  full_name: Leonid Sazanov
  id: 338D39FE-F248-11E8-B48F-1D18A9856A87
  last_name: Sazanov
  orcid: 0000-0002-0977-7989
citation:
  ama: 'Sazanov LA. Respiratory complex I: Mechanistic and structural insights provided
    by the crystal structure of the hydrophilic domain. <i>Biochemistry</i>. 2007;46(9):2275-2288.
    doi:<a href="https://doi.org/10.1021/bi602508x">10.1021/bi602508x</a>'
  apa: 'Sazanov, L. A. (2007). Respiratory complex I: Mechanistic and structural insights
    provided by the crystal structure of the hydrophilic domain. <i>Biochemistry</i>.
    ACS. <a href="https://doi.org/10.1021/bi602508x">https://doi.org/10.1021/bi602508x</a>'
  chicago: 'Sazanov, Leonid A. “Respiratory Complex I: Mechanistic and Structural
    Insights Provided by the Crystal Structure of the Hydrophilic Domain.” <i>Biochemistry</i>.
    ACS, 2007. <a href="https://doi.org/10.1021/bi602508x">https://doi.org/10.1021/bi602508x</a>.'
  ieee: 'L. A. Sazanov, “Respiratory complex I: Mechanistic and structural insights
    provided by the crystal structure of the hydrophilic domain,” <i>Biochemistry</i>,
    vol. 46, no. 9. ACS, pp. 2275–2288, 2007.'
  ista: 'Sazanov LA. 2007. Respiratory complex I: Mechanistic and structural insights
    provided by the crystal structure of the hydrophilic domain. Biochemistry. 46(9),
    2275–2288.'
  mla: 'Sazanov, Leonid A. “Respiratory Complex I: Mechanistic and Structural Insights
    Provided by the Crystal Structure of the Hydrophilic Domain.” <i>Biochemistry</i>,
    vol. 46, no. 9, ACS, 2007, pp. 2275–88, doi:<a href="https://doi.org/10.1021/bi602508x">10.1021/bi602508x</a>.'
  short: L.A. Sazanov, Biochemistry 46 (2007) 2275–2288.
date_created: 2018-12-11T11:54:57Z
date_published: 2007-03-06T00:00:00Z
date_updated: 2021-01-12T06:54:23Z
day: '06'
doi: 10.1021/bi602508x
extern: 1
intvolume: '        46'
issue: '9'
month: '03'
page: 2275 - 2288
publication: Biochemistry
publication_status: published
publisher: ACS
publist_id: '5118'
quality_controlled: 0
status: public
title: 'Respiratory complex I: Mechanistic and structural insights provided by the
  crystal structure of the hydrophilic domain'
type: journal_article
volume: 46
year: '2007'
...
---
_id: '1965'
abstract:
- lang: eng
  text: Respiratory complex I (NADH:ubiquinone oxidoreductase) is an L-shaped multisubunit
    protein assembly consisting of a hydrophobic membrane arm and a hydrophilic peripheral
    arm. It catalyses the transfer of two electrons from NADH to quinone coupled to
    the translocation of four protons across the membrane. Although we have solved
    recently the crystal structure of the peripheral arm, the structure of the complete
    enzyme and the coupling mechanism are not yet known. The membrane domain of Escherichia
    coli complex I consists of seven different subunits with total molecular mass
    of 258 kDa. It is significantly more stable than the whole enzyme, which allowed
    us to obtain well-ordered two-dimensional crystals of the domain, belonging to
    the space group p22121. Comparison of the projection map of negatively stained
    crystals with previously published low-resolution structures indicated that the
    characteristic curved shape of the membrane domain is remarkably well conserved
    between bacterial and mitochondrial enzymes, helping us to interpret projection
    maps in the context of the intact complex. Two pronounced stain-excluding densities
    at the distal end of the membrane domain are likely to represent the two large
    antiporter-like subunits NuoL and NuoM. Cryo-electron microscopy on frozen-hydrated
    crystals allowed us to calculate a projection map at 8 Å resolution. About 60
    transmembrane α-helices, both perpendicular to the membrane plane and tilted,
    are present within one membrane domain, which is consistent with secondary structure
    predictions. A possible binding site and access channel for quinone are found
    at the interface with the peripheral arm. Tentative assignment of individual subunits
    to the features of the map has been made. The location of subunits NuoL and NuoM
    at substantial distance from the peripheral arm, which contains all the redox
    centres of the complex, indicates that conformational changes are likely to play
    a role in the mechanism of coupling between electron transfer and proton pumping.
author:
- first_name: Ekaterina
  full_name: Baranova, Ekaterina A
  last_name: Baranova
- first_name: Peter
  full_name: Holt, Peter J
  last_name: Holt
- first_name: Leonid A
  full_name: Leonid Sazanov
  id: 338D39FE-F248-11E8-B48F-1D18A9856A87
  last_name: Sazanov
  orcid: 0000-0002-0977-7989
citation:
  ama: Baranova E, Holt P, Sazanov LA. Projection structure of the membrane domain
    of Escherichia coli respiratory Complex I at 8 Å resolution. <i>Journal of Molecular
    Biology</i>. 2007;366(1):140-154. doi:<a href="https://doi.org/10.1016/j.jmb.2006.11.026">10.1016/j.jmb.2006.11.026</a>
  apa: Baranova, E., Holt, P., &#38; Sazanov, L. A. (2007). Projection structure of
    the membrane domain of Escherichia coli respiratory Complex I at 8 Å resolution.
    <i>Journal of Molecular Biology</i>. Elsevier. <a href="https://doi.org/10.1016/j.jmb.2006.11.026">https://doi.org/10.1016/j.jmb.2006.11.026</a>
  chicago: Baranova, Ekaterina, Peter Holt, and Leonid A Sazanov. “Projection Structure
    of the Membrane Domain of Escherichia Coli Respiratory Complex I at 8 Å Resolution.”
    <i>Journal of Molecular Biology</i>. Elsevier, 2007. <a href="https://doi.org/10.1016/j.jmb.2006.11.026">https://doi.org/10.1016/j.jmb.2006.11.026</a>.
  ieee: E. Baranova, P. Holt, and L. A. Sazanov, “Projection structure of the membrane
    domain of Escherichia coli respiratory Complex I at 8 Å resolution,” <i>Journal
    of Molecular Biology</i>, vol. 366, no. 1. Elsevier, pp. 140–154, 2007.
  ista: Baranova E, Holt P, Sazanov LA. 2007. Projection structure of the membrane
    domain of Escherichia coli respiratory Complex I at 8 Å resolution. Journal of
    Molecular Biology. 366(1), 140–154.
  mla: Baranova, Ekaterina, et al. “Projection Structure of the Membrane Domain of
    Escherichia Coli Respiratory Complex I at 8 Å Resolution.” <i>Journal of Molecular
    Biology</i>, vol. 366, no. 1, Elsevier, 2007, pp. 140–54, doi:<a href="https://doi.org/10.1016/j.jmb.2006.11.026">10.1016/j.jmb.2006.11.026</a>.
  short: E. Baranova, P. Holt, L.A. Sazanov, Journal of Molecular Biology 366 (2007)
    140–154.
date_created: 2018-12-11T11:54:57Z
date_published: 2007-02-09T00:00:00Z
date_updated: 2021-01-12T06:54:23Z
day: '09'
doi: 10.1016/j.jmb.2006.11.026
extern: 1
intvolume: '       366'
issue: '1'
month: '02'
page: 140 - 154
publication: Journal of Molecular Biology
publication_status: published
publisher: Elsevier
publist_id: '5119'
quality_controlled: 0
status: public
title: Projection structure of the membrane domain of Escherichia coli respiratory
  Complex I at 8 Å resolution
type: journal_article
volume: 366
year: '2007'
...
---
_id: '1969'
abstract:
- lang: eng
  text: Respiratory complex I catalyses the transfer of electrons from NADH to quinone
    coupled to the translocation of protons across the membrane. The mechanism of
    coupling and the structure of the complete enzyme are not known. The membrane
    domain of the complex contains three similar antiporter-like subunits NuoL/M/N,
    probably involved in proton pumping. We have previously shown that subunits NuoL/M
    can be removed from the rest of the complex, suggesting their location at the
    distal end of the membrane domain. Here, using electron microscopy and single
    particle analysis, we show that subunits NuoL and M jointly occupy a distal half
    of the membrane domain, separated by about 10 nm from the interface with the peripheral
    arm. This indicates that coupling mechanism of complex I is likely to involve
    long range conformational changes.
author:
- first_name: Ekaterina
  full_name: Baranova, Ekaterina A
  last_name: Baranova
- first_name: David
  full_name: Morgan, David J
  last_name: Morgan
- first_name: Leonid A
  full_name: Leonid Sazanov
  id: 338D39FE-F248-11E8-B48F-1D18A9856A87
  last_name: Sazanov
  orcid: 0000-0002-0977-7989
citation:
  ama: Baranova E, Morgan D, Sazanov LA. Single particle analysis confirms distal
    location of subunits NuoL and NuoM in Escherichia coli complex I. <i>Journal of
    Structural Biology</i>. 2007;159(2 SPEC. ISS.):238-242. doi:<a href="https://doi.org/10.1016/j.jsb.2007.01.009">10.1016/j.jsb.2007.01.009</a>
  apa: Baranova, E., Morgan, D., &#38; Sazanov, L. A. (2007). Single particle analysis
    confirms distal location of subunits NuoL and NuoM in Escherichia coli complex
    I. <i>Journal of Structural Biology</i>. Academic Press. <a href="https://doi.org/10.1016/j.jsb.2007.01.009">https://doi.org/10.1016/j.jsb.2007.01.009</a>
  chicago: Baranova, Ekaterina, David Morgan, and Leonid A Sazanov. “Single Particle
    Analysis Confirms Distal Location of Subunits NuoL and NuoM in Escherichia Coli
    Complex I.” <i>Journal of Structural Biology</i>. Academic Press, 2007. <a href="https://doi.org/10.1016/j.jsb.2007.01.009">https://doi.org/10.1016/j.jsb.2007.01.009</a>.
  ieee: E. Baranova, D. Morgan, and L. A. Sazanov, “Single particle analysis confirms
    distal location of subunits NuoL and NuoM in Escherichia coli complex I,” <i>Journal
    of Structural Biology</i>, vol. 159, no. 2 SPEC. ISS. Academic Press, pp. 238–242,
    2007.
  ista: Baranova E, Morgan D, Sazanov LA. 2007. Single particle analysis confirms
    distal location of subunits NuoL and NuoM in Escherichia coli complex I. Journal
    of Structural Biology. 159(2 SPEC. ISS.), 238–242.
  mla: Baranova, Ekaterina, et al. “Single Particle Analysis Confirms Distal Location
    of Subunits NuoL and NuoM in Escherichia Coli Complex I.” <i>Journal of Structural
    Biology</i>, vol. 159, no. 2 SPEC. ISS., Academic Press, 2007, pp. 238–42, doi:<a
    href="https://doi.org/10.1016/j.jsb.2007.01.009">10.1016/j.jsb.2007.01.009</a>.
  short: E. Baranova, D. Morgan, L.A. Sazanov, Journal of Structural Biology 159 (2007)
    238–242.
date_created: 2018-12-11T11:54:58Z
date_published: 2007-08-01T00:00:00Z
date_updated: 2021-01-12T06:54:24Z
day: '01'
doi: 10.1016/j.jsb.2007.01.009
extern: 1
intvolume: '       159'
issue: 2 SPEC. ISS.
month: '08'
page: 238 - 242
publication: Journal of Structural Biology
publication_status: published
publisher: Academic Press
publist_id: '5117'
quality_controlled: 0
status: public
title: Single particle analysis confirms distal location of subunits NuoL and NuoM
  in Escherichia coli complex I
type: journal_article
volume: 159
year: '2007'
...
---
_id: '2091'
abstract:
- lang: eng
  text: 'We present a novel multi-scale representation and acquisition method for
    the animation of high-resolution facial geometry and wrinkles. We first acquire
    a static scan of the face including reflectance data at the highest possible quality.
    We then augment a traditional marker-based facial motion-capture system by two
    synchronized video cameras to track expression wrinkles. The resulting model consists
    of high-resolution geometry, motion-capture data, and expression wrinkles in 2D
    parametric form. This combination represents the facial shape and its salient
    features at multiple scales. During motion synthesis the motion-capture data deforms
    the high-resolution geometry using a linear shell-based mesh-deformation method.
    The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization.
    We present the results of our approach for performance replay as well as for wrinkle
    editing. '
acknowledgement: This research has been supported by the NCCR Co-Me of the Swiss National
  Science Foundation.
author:
- first_name: Bernd
  full_name: Bernd Bickel
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
- first_name: Mario
  full_name: Botsch, Mario
  last_name: Botsch
- first_name: Roland
  full_name: Angst, Roland
  last_name: Angst
- first_name: Wojciech
  full_name: Matusik, Wojciech
  last_name: Matusik
- first_name: Miguel
  full_name: Otaduy, Miguel A
  last_name: Otaduy
- first_name: Hanspeter
  full_name: Pfister, Hanspeter
  last_name: Pfister
- first_name: Markus
  full_name: Groß, Markus S
  last_name: Groß
citation:
  ama: 'Bickel B, Botsch M, Angst R, et al. Multi scale capture of facial geometry
    and motion. In: ACM; 2007. doi:<a href="https://doi.org/doi:10.1145/1275808.1276419">doi:10.1145/1275808.1276419</a>'
  apa: 'Bickel, B., Botsch, M., Angst, R., Matusik, W., Otaduy, M., Pfister, H., &#38;
    Groß, M. (2007). Multi scale capture of facial geometry and motion. Presented
    at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques,
    ACM. <a href="https://doi.org/doi:10.1145/1275808.1276419">https://doi.org/doi:10.1145/1275808.1276419</a>'
  chicago: Bickel, Bernd, Mario Botsch, Roland Angst, Wojciech Matusik, Miguel Otaduy,
    Hanspeter Pfister, and Markus Groß. “Multi Scale Capture of Facial Geometry and
    Motion.” ACM, 2007. <a href="https://doi.org/doi:10.1145/1275808.1276419">https://doi.org/doi:10.1145/1275808.1276419</a>.
  ieee: 'B. Bickel <i>et al.</i>, “Multi scale capture of facial geometry and motion,”
    presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive
    Techniques, 2007.'
  ista: 'Bickel B, Botsch M, Angst R, Matusik W, Otaduy M, Pfister H, Groß M. 2007.
    Multi scale capture of facial geometry and motion. SIGGRAPH: Special Interest
    Group on Computer Graphics and Interactive Techniques.'
  mla: Bickel, Bernd, et al. <i>Multi Scale Capture of Facial Geometry and Motion</i>.
    ACM, 2007, doi:<a href="https://doi.org/doi:10.1145/1275808.1276419">doi:10.1145/1275808.1276419</a>.
  short: B. Bickel, M. Botsch, R. Angst, W. Matusik, M. Otaduy, H. Pfister, M. Groß,
    in:, ACM, 2007.
conference:
  name: 'SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques'
date_created: 2018-12-11T11:55:39Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:15Z
day: '01'
doi: doi:10.1145/1275808.1276419
extern: 1
main_file_link:
- open_access: '1'
  url: http://nrs.harvard.edu/urn-3:HUL.InstRepos:4726184
month: '01'
oa: 1
publication_status: published
publisher: ACM
publist_id: '4942'
quality_controlled: 0
status: public
title: Multi scale capture of facial geometry and motion
type: conference
year: '2007'
...
---
_id: '2092'
abstract:
- lang: eng
  text: We introduce a new appearance-modeling paradigm for synthesizing the internal
    structure of a 3D model from photographs of a few cross-sections of a real object.
    When the internal surfaces of the 3D model are revealed as it is cut, carved,
    or simply clipped, we synthesize their texture from the input photographs. Our
    texture synthesis algorithm is best classified as a morphing technique, which
    efficiently outputs the texture attributes of each surface point on demand. For
    determining source points and their weights in the morphing algorithm, we propose
    an interpolation domain based on BSP trees that naturally resembles planar splitting
    of real objects. In the context of the interpolation domain, we define efficient
    warping and morphing operations that allow for real-time synthesis of textures.
    Overall, our modeling paradigm, together with its realization through our texture
    morphing algorithm, allow users to author 3D models that reveal highly realistic
    internal surfaces in a variety of artistic flavors.
acknowledgement: 'This research was supported in part by the NCCR Co-Me of the Swiss
  National Science Foundation. '
author:
- first_name: Nico
  full_name: Pietroni, Nico
  last_name: Pietroni
- first_name: Miguel
  full_name: Otaduy, Miguel A
  last_name: Otaduy
- first_name: Bernd
  full_name: Bernd Bickel
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
- first_name: Fabio
  full_name: Ganovelli, Fabio
  last_name: Ganovelli
- first_name: Markus
  full_name: Groß, Markus S
  last_name: Groß
citation:
  ama: Pietroni N, Otaduy M, Bickel B, Ganovelli F, Groß M. Texturing internal surfaces
    from a few cross-sections. <i>Computer Graphics Forum</i>. 2007;26(3):637-644.
    doi:<a href="https://doi.org/10.1111/j.1467-8659.2007.01087.x">10.1111/j.1467-8659.2007.01087.x</a>
  apa: Pietroni, N., Otaduy, M., Bickel, B., Ganovelli, F., &#38; Groß, M. (2007).
    Texturing internal surfaces from a few cross-sections. <i>Computer Graphics Forum</i>.
    Wiley-Blackwell. <a href="https://doi.org/10.1111/j.1467-8659.2007.01087.x">https://doi.org/10.1111/j.1467-8659.2007.01087.x</a>
  chicago: Pietroni, Nico, Miguel Otaduy, Bernd Bickel, Fabio Ganovelli, and Markus
    Groß. “Texturing Internal Surfaces from a Few Cross-Sections.” <i>Computer Graphics
    Forum</i>. Wiley-Blackwell, 2007. <a href="https://doi.org/10.1111/j.1467-8659.2007.01087.x">https://doi.org/10.1111/j.1467-8659.2007.01087.x</a>.
  ieee: N. Pietroni, M. Otaduy, B. Bickel, F. Ganovelli, and M. Groß, “Texturing internal
    surfaces from a few cross-sections,” <i>Computer Graphics Forum</i>, vol. 26,
    no. 3. Wiley-Blackwell, pp. 637–644, 2007.
  ista: Pietroni N, Otaduy M, Bickel B, Ganovelli F, Groß M. 2007. Texturing internal
    surfaces from a few cross-sections. Computer Graphics Forum. 26(3), 637–644.
  mla: Pietroni, Nico, et al. “Texturing Internal Surfaces from a Few Cross-Sections.”
    <i>Computer Graphics Forum</i>, vol. 26, no. 3, Wiley-Blackwell, 2007, pp. 637–44,
    doi:<a href="https://doi.org/10.1111/j.1467-8659.2007.01087.x">10.1111/j.1467-8659.2007.01087.x</a>.
  short: N. Pietroni, M. Otaduy, B. Bickel, F. Ganovelli, M. Groß, Computer Graphics
    Forum 26 (2007) 637–644.
date_created: 2018-12-11T11:55:39Z
date_published: 2007-09-01T00:00:00Z
date_updated: 2021-01-12T06:55:15Z
day: '01'
doi: 10.1111/j.1467-8659.2007.01087.x
extern: 1
intvolume: '        26'
issue: '3'
month: '09'
page: 637 - 644
publication: Computer Graphics Forum
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4943'
quality_controlled: 0
status: public
title: Texturing internal surfaces from a few cross-sections
type: journal_article
volume: 26
year: '2007'
...
---
_id: '2093'
abstract:
- lang: eng
  text: 'We present a novel multi-scale representation and acquisition method for
    the animation of high-resolution facial geometry and wrinkles. We first acquire
    a static scan of the face including reflectance data at the highest possible quality.
    We then augment a traditional marker-based facial motion-capture system by two
    synchronized video cameras to track expression wrinkles. The resulting model consists
    of high-resolution geometry, motion-capture data, and expression wrinkles in 2D
    parametric form. This combination represents the facial shape and its salient
    features at multiple scales. During motion synthesis the motion-capture data deforms
    the high-resolution geometry using a linear shell-based mesh-deformation method.
    The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization.
    We present the results of our approach for performance replay as well as for wrinkle
    editing. '
acknowledgement: This research has been supported by the NCCR Co-Me of the Swiss National
  Science Foundation
author:
- first_name: Bernd
  full_name: Bernd Bickel
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
- first_name: Mario
  full_name: Botsch, Mario
  last_name: Botsch
- first_name: Roland
  full_name: Angst, Roland
  last_name: Angst
- first_name: Wojciech
  full_name: Matusik, Wojciech
  last_name: Matusik
- first_name: Miguel
  full_name: Otaduy, Miguel A
  last_name: Otaduy
- first_name: Hanspeter
  full_name: Pfister, Hanspeter
  last_name: Pfister
- first_name: Markus
  full_name: Groß, Markus S
  last_name: Groß
citation:
  ama: Bickel B, Botsch M, Angst R, et al. Multi scale capture of facial geometry
    and motion. <i>ACM Transactions on Graphics</i>. 2007;26(3). doi:<a href="https://doi.org/10.1145/1276377.1276419">10.1145/1276377.1276419</a>
  apa: Bickel, B., Botsch, M., Angst, R., Matusik, W., Otaduy, M., Pfister, H., &#38;
    Groß, M. (2007). Multi scale capture of facial geometry and motion. <i>ACM Transactions
    on Graphics</i>. ACM. <a href="https://doi.org/10.1145/1276377.1276419">https://doi.org/10.1145/1276377.1276419</a>
  chicago: Bickel, Bernd, Mario Botsch, Roland Angst, Wojciech Matusik, Miguel Otaduy,
    Hanspeter Pfister, and Markus Groß. “Multi Scale Capture of Facial Geometry and
    Motion.” <i>ACM Transactions on Graphics</i>. ACM, 2007. <a href="https://doi.org/10.1145/1276377.1276419">https://doi.org/10.1145/1276377.1276419</a>.
  ieee: B. Bickel <i>et al.</i>, “Multi scale capture of facial geometry and motion,”
    <i>ACM Transactions on Graphics</i>, vol. 26, no. 3. ACM, 2007.
  ista: Bickel B, Botsch M, Angst R, Matusik W, Otaduy M, Pfister H, Groß M. 2007.
    Multi scale capture of facial geometry and motion. ACM Transactions on Graphics.
    26(3).
  mla: Bickel, Bernd, et al. “Multi Scale Capture of Facial Geometry and Motion.”
    <i>ACM Transactions on Graphics</i>, vol. 26, no. 3, ACM, 2007, doi:<a href="https://doi.org/10.1145/1276377.1276419">10.1145/1276377.1276419</a>.
  short: B. Bickel, M. Botsch, R. Angst, W. Matusik, M. Otaduy, H. Pfister, M. Groß,
    ACM Transactions on Graphics 26 (2007).
date_created: 2018-12-11T11:55:40Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:15Z
day: '01'
doi: 10.1145/1276377.1276419
extern: 1
intvolume: '        26'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://nrs.harvard.edu/urn-3:HUL.InstRepos:4726184
month: '01'
oa: 1
publication: ACM Transactions on Graphics
publication_status: published
publisher: ACM
publist_id: '4944'
quality_controlled: 0
status: public
title: Multi scale capture of facial geometry and motion
type: journal_article
volume: 26
year: '2007'
...
---
_id: '2118'
abstract:
- lang: eng
  text: 'We extend to infinite dimensions an explicit formula of Chill, Fašangová,
    Metafune, and Pallara for the optimal angle of analyticity of analytic Ornstein-Uhlenbeck
    semigroups. The main ingredient is an abstract representation of the Ornstein-Uhlenbeck
    operator in divergence form. '
acknowledgement: The authors are supported by the ‘VIDI subsidie’ 639.032.201 of the
  Netherlands Organization for Scientific Research (NWO) and by the Research Training
  Network HPRN-CT-2002-00281.
author:
- first_name: Jan
  full_name: Jan Maas
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
- first_name: Jan
  full_name: van Neerven, Jan M
  last_name: Van Neerven
citation:
  ama: Maas J, Van Neerven J. On analytic Ornstein-Uhlenbeck semigroups in infinite
    dimensions. <i>Archiv der Mathematik</i>. 2007;89(3):226-236. doi:<a href="https://doi.org/10.1007/s00013-007-2082-x">10.1007/s00013-007-2082-x</a>
  apa: Maas, J., &#38; Van Neerven, J. (2007). On analytic Ornstein-Uhlenbeck semigroups
    in infinite dimensions. <i>Archiv Der Mathematik</i>. Birkhäuser. <a href="https://doi.org/10.1007/s00013-007-2082-x">https://doi.org/10.1007/s00013-007-2082-x</a>
  chicago: Maas, Jan, and Jan Van Neerven. “On Analytic Ornstein-Uhlenbeck Semigroups
    in Infinite Dimensions.” <i>Archiv Der Mathematik</i>. Birkhäuser, 2007. <a href="https://doi.org/10.1007/s00013-007-2082-x">https://doi.org/10.1007/s00013-007-2082-x</a>.
  ieee: J. Maas and J. Van Neerven, “On analytic Ornstein-Uhlenbeck semigroups in
    infinite dimensions,” <i>Archiv der Mathematik</i>, vol. 89, no. 3. Birkhäuser,
    pp. 226–236, 2007.
  ista: Maas J, Van Neerven J. 2007. On analytic Ornstein-Uhlenbeck semigroups in
    infinite dimensions. Archiv der Mathematik. 89(3), 226–236.
  mla: Maas, Jan, and Jan Van Neerven. “On Analytic Ornstein-Uhlenbeck Semigroups
    in Infinite Dimensions.” <i>Archiv Der Mathematik</i>, vol. 89, no. 3, Birkhäuser,
    2007, pp. 226–36, doi:<a href="https://doi.org/10.1007/s00013-007-2082-x">10.1007/s00013-007-2082-x</a>.
  short: J. Maas, J. Van Neerven, Archiv Der Mathematik 89 (2007) 226–236.
date_created: 2018-12-11T11:55:49Z
date_published: 2007-08-06T00:00:00Z
date_updated: 2021-01-12T06:55:25Z
day: '06'
doi: 10.1007/s00013-007-2082-x
extern: 1
intvolume: '        89'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://repository.tudelft.nl/view/ir/uuid:c2cc3bd8-822b-4e72-ae42-1da0424e8a22/
month: '08'
oa: 1
page: 226 - 236
publication: Archiv der Mathematik
publication_status: published
publisher: Birkhäuser
publist_id: '4916'
quality_controlled: 0
status: public
title: On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions
type: journal_article
volume: 89
year: '2007'
...
---
_id: '2135'
abstract:
- lang: eng
  text: We use the x-ray absorption fine structure spectroscopy at Nb K edge to reveal
    the local atomic structure of KxNa1−xNbO3 (PSN) solid solutions. The study is
    performed over the temperature range 10–1023K for six different x values. We show
    that only the combined analysis of extended x-ray absorption fine structure and
    preedge fine structure provides complete and reliable information about the local
    structure of NbO6 octahedra. Such extensive treatment of the experimental data
    shows that the local structure of PSN could be described within the spherical
    model proposed earlier as a hypothesis for perovskite-type ferroelectric zirconates.
    We reveal that the Nb atoms are localized near their average positions on the
    sphere surfaces for all temperatures and x values. With regard to previous results
    we point out the features of microscopic structure common for PSN and perovskite-type
    zirconates.
acknowledgement: This work was partially supported by Russian Foundation for Basic
  Research Grant No. 07-02-00796a.  The authors are indebted to the French Government
  for financial support of E.S.N. and M.P.L. within the CNOUS program.
author:
- first_name: Mikhail
  full_name: Mikhail Lemeshko
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Elena
  full_name: Nazarenko, Elena S
  last_name: Nazarenko
- first_name: A.A
  full_name: Gonchar, A.A
  last_name: Gonchar
- first_name: Larisa
  full_name: Reznichenko, Larisa A
  last_name: Reznichenko
- first_name: Tatiana
  full_name: Nedoseykina, Tatiana I
  last_name: Nedoseykina
- first_name: Alexander
  full_name: Novakovich, Alexander A
  last_name: Novakovich
- first_name: Olivier
  full_name: Mathon, Olivier
  last_name: Mathon
- first_name: Yves
  full_name: Joly, Yves
  last_name: Joly
- first_name: Rostislav
  full_name: Vedrinskiǐ, Rostislav V
  last_name: Vedrinskiǐ
citation:
  ama: Lemeshko M, Nazarenko E, Gonchar A., et al. EXAFS studies of the local atomic
    structure of the lead-free piezoelectric ceramics KxNa1−xNbO3 over the temperature
    range 10–1023K. <i>Physical Review B - Condensed Matter and Materials Physics</i>.
    2007;76. doi:<a href="http://dx.doi.org/10.1103/PhysRevB.76.134106">http://dx.doi.org/10.1103/PhysRevB.76.134106</a>
  apa: Lemeshko, M., Nazarenko, E., Gonchar, A. ., Reznichenko, L., Nedoseykina, T.,
    Novakovich, A., … Vedrinskiǐ, R. (2007). EXAFS studies of the local atomic structure
    of the lead-free piezoelectric ceramics KxNa1−xNbO3 over the temperature range
    10–1023K. <i>Physical Review B - Condensed Matter and Materials Physics</i>. American
    Physical Society. <a href="http://dx.doi.org/10.1103/PhysRevB.76.134106">http://dx.doi.org/10.1103/PhysRevB.76.134106</a>
  chicago: Lemeshko, Mikhail, Elena Nazarenko, A.A Gonchar, Larisa Reznichenko, Tatiana
    Nedoseykina, Alexander Novakovich, Olivier Mathon, Yves Joly, and Rostislav Vedrinskiǐ.
    “EXAFS Studies of the Local Atomic Structure of the Lead-Free Piezoelectric Ceramics
    KxNa1−xNbO3 over the Temperature Range 10–1023K.” <i>Physical Review B - Condensed
    Matter and Materials Physics</i>. American Physical Society, 2007. <a href="http://dx.doi.org/10.1103/PhysRevB.76.134106">http://dx.doi.org/10.1103/PhysRevB.76.134106</a>.
  ieee: M. Lemeshko <i>et al.</i>, “EXAFS studies of the local atomic structure of
    the lead-free piezoelectric ceramics KxNa1−xNbO3 over the temperature range 10–1023K,”
    <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 76. American
    Physical Society, 2007.
  ista: Lemeshko M, Nazarenko E, Gonchar A., Reznichenko L, Nedoseykina T, Novakovich
    A, Mathon O, Joly Y, Vedrinskiǐ R. 2007. EXAFS studies of the local atomic structure
    of the lead-free piezoelectric ceramics KxNa1−xNbO3 over the temperature range
    10–1023K. Physical Review B - Condensed Matter and Materials Physics. 76.
  mla: Lemeshko, Mikhail, et al. “EXAFS Studies of the Local Atomic Structure of the
    Lead-Free Piezoelectric Ceramics KxNa1−xNbO3 over the Temperature Range 10–1023K.”
    <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 76, American
    Physical Society, 2007, doi:<a href="http://dx.doi.org/10.1103/PhysRevB.76.134106">http://dx.doi.org/10.1103/PhysRevB.76.134106</a>.
  short: M. Lemeshko, E. Nazarenko, A.. Gonchar, L. Reznichenko, T. Nedoseykina, A.
    Novakovich, O. Mathon, Y. Joly, R. Vedrinskiǐ, Physical Review B - Condensed Matter
    and Materials Physics 76 (2007).
date_created: 2018-12-11T11:55:54Z
date_published: 2007-10-09T00:00:00Z
date_updated: 2021-01-12T06:55:31Z
day: '09'
doi: http://dx.doi.org/10.1103/PhysRevB.76.134106
extern: 1
intvolume: '        76'
month: '10'
publication: Physical Review B - Condensed Matter and Materials Physics
publication_status: published
publisher: American Physical Society
publist_id: '4899'
quality_controlled: 0
status: public
title: EXAFS studies of the local atomic structure of the lead-free piezoelectric
  ceramics KxNa1−xNbO3 over the temperature range 10–1023K
type: journal_article
volume: 76
year: '2007'
...
---
_id: '2143'
abstract:
- lang: eng
  text: 'Local atomic structure of the piezoelectric ceramics KxNa 1-xNbO3 (x≤0.00,
    0.05, 0.30, 0.40, 0.50 and 0.65) is studied in all phase regions (10 K-1023 K)
    using Nb K-edge extended X-ray absorption fine-structure (EXAFS) spectroscopy.
    We have shown the validity of a new spherical model for phase transitions on the
    basis of both fitting of EXAFS signal in the R-space and differential EXAFS analysis.
    Within this model the Nb atoms are located on the surfaces of small spheres of
    constant radii surrounding centers of NbO6 octahedrons in all phases. The distribution
    of the Nb atom on this surface changes during phase transitions. Besides, the
    analysis of local structure reveals that the geometry of NbO6 octahedra does not
    depend on the x value at each temperature, whereas the octahedra rotation angles
    do. '
author:
- first_name: Mikhail
  full_name: Mikhail Lemeshko
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Elena
  full_name: Nazarenko, Elena S
  last_name: Nazarenko
- first_name: Anastasia
  full_name: Gonchar, Anastasia A
  last_name: Gonchar
- first_name: Larisa
  full_name: Reznichenko, Larisa A
  last_name: Reznichenko
- first_name: Olivier
  full_name: Mathon, Olivier
  last_name: Mathon
- first_name: Yves
  full_name: Joly, Yves
  last_name: Joly
- first_name: Rostislav
  full_name: Vedrinskiǐ, Rostislav V
  last_name: Vedrinskiǐ
citation:
  ama: 'Lemeshko M, Nazarenko E, Gonchar A, et al. Phase transitions in lead-free
    piezoelectric ceramics: Study of local atomic structure. <i>EPL</i>. 2007;77(2).
    doi:<a href="https://doi.org/10.1209/0295-5075/77/26003 ">10.1209/0295-5075/77/26003
    </a>'
  apa: 'Lemeshko, M., Nazarenko, E., Gonchar, A., Reznichenko, L., Mathon, O., Joly,
    Y., &#38; Vedrinskiǐ, R. (2007). Phase transitions in lead-free piezoelectric
    ceramics: Study of local atomic structure. <i>EPL</i>. IOP Publishing Ltd. <a
    href="https://doi.org/10.1209/0295-5075/77/26003 ">https://doi.org/10.1209/0295-5075/77/26003
    </a>'
  chicago: 'Lemeshko, Mikhail, Elena Nazarenko, Anastasia Gonchar, Larisa Reznichenko,
    Olivier Mathon, Yves Joly, and Rostislav Vedrinskiǐ. “Phase Transitions in Lead-Free
    Piezoelectric Ceramics: Study of Local Atomic Structure.” <i>EPL</i>. IOP Publishing
    Ltd., 2007. <a href="https://doi.org/10.1209/0295-5075/77/26003 ">https://doi.org/10.1209/0295-5075/77/26003
    </a>.'
  ieee: 'M. Lemeshko <i>et al.</i>, “Phase transitions in lead-free piezoelectric
    ceramics: Study of local atomic structure,” <i>EPL</i>, vol. 77, no. 2. IOP Publishing
    Ltd., 2007.'
  ista: 'Lemeshko M, Nazarenko E, Gonchar A, Reznichenko L, Mathon O, Joly Y, Vedrinskiǐ
    R. 2007. Phase transitions in lead-free piezoelectric ceramics: Study of local
    atomic structure. EPL. 77(2).'
  mla: 'Lemeshko, Mikhail, et al. “Phase Transitions in Lead-Free Piezoelectric Ceramics:
    Study of Local Atomic Structure.” <i>EPL</i>, vol. 77, no. 2, IOP Publishing Ltd.,
    2007, doi:<a href="https://doi.org/10.1209/0295-5075/77/26003 ">10.1209/0295-5075/77/26003
    </a>.'
  short: M. Lemeshko, E. Nazarenko, A. Gonchar, L. Reznichenko, O. Mathon, Y. Joly,
    R. Vedrinskiǐ, EPL 77 (2007).
date_created: 2018-12-11T11:55:57Z
date_published: 2007-01-11T00:00:00Z
date_updated: 2021-01-12T06:55:34Z
day: '11'
doi: '10.1209/0295-5075/77/26003 '
extern: 1
intvolume: '        77'
issue: '2'
month: '01'
publication: EPL
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4880'
quality_controlled: 0
status: public
title: 'Phase transitions in lead-free piezoelectric ceramics: Study of local atomic
  structure'
type: journal_article
volume: 77
year: '2007'
...
---
_id: '2145'
abstract:
- lang: eng
  text: 'We use the x-ray absorption fine structure spectroscopy at Nb K edge to reveal
    the local atomic structure of Kx Na1-x Nb O3 (PSN) solid solutions. The study
    is performed over the temperature range 10-1023 K for six different x values.
    We show that only the combined analysis of extended x-ray absorption fine structure
    and preedge fine structure provides complete and reliable information about the
    local structure of Nb O6 octahedra. Such extensive treatment of the experimental
    data shows that the local structure of PSN could be described within the spherical
    model proposed earlier as a hypothesis for perovskite-type ferroelectric zirconates.
    We reveal that the Nb atoms are localized near their average positions on the
    sphere surfaces for all temperatures and x values. With regard to previous results
    we point out the features of microscopic structure common for PSN and perovskite-type
    zirconates. '
acknowledgement: This work was partially supported by Russian Foundation for Basic
  Research Grant No. 07-02-00796a
author:
- first_name: Mikhail
  full_name: Mikhail Lemeshko
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Elena
  full_name: Nazarenko, Elena S
  last_name: Nazarenko
- first_name: Anastasia
  full_name: Gonchar, Anastasia A
  last_name: Gonchar
- first_name: Larisa
  full_name: Reznichenko, Larisa A
  last_name: Reznichenko
- first_name: Tatiana
  full_name: Nedoseykina, Tatiana I
  last_name: Nedoseykina
- first_name: Alexander
  full_name: Novakovich, Alexander A
  last_name: Novakovich
- first_name: Olivier
  full_name: Mathon, Olivier
  last_name: Mathon
- first_name: Yves
  full_name: Joly, Yves
  last_name: Joly
- first_name: Rostislav
  full_name: Vedrinskiǐ, Rostislav V
  last_name: Vedrinskiǐ
citation:
  ama: Lemeshko M, Nazarenko E, Gonchar A, et al. EXAFS studies of the local atomic
    structure of the lead free piezoelectric ceramics Kx Na1-x Nb O3 over the temperature
    range 10-1023 K. <i>Physical Review B - Condensed Matter and Materials Physics</i>.
    2007;76(13). doi:<a href="https://doi.org/10.1103/PhysRevB.76.134106">10.1103/PhysRevB.76.134106</a>
  apa: Lemeshko, M., Nazarenko, E., Gonchar, A., Reznichenko, L., Nedoseykina, T.,
    Novakovich, A., … Vedrinskiǐ, R. (2007). EXAFS studies of the local atomic structure
    of the lead free piezoelectric ceramics Kx Na1-x Nb O3 over the temperature range
    10-1023 K. <i>Physical Review B - Condensed Matter and Materials Physics</i>.
    American Physical Society. <a href="https://doi.org/10.1103/PhysRevB.76.134106">https://doi.org/10.1103/PhysRevB.76.134106</a>
  chicago: Lemeshko, Mikhail, Elena Nazarenko, Anastasia Gonchar, Larisa Reznichenko,
    Tatiana Nedoseykina, Alexander Novakovich, Olivier Mathon, Yves Joly, and Rostislav
    Vedrinskiǐ. “EXAFS Studies of the Local Atomic Structure of the Lead Free Piezoelectric
    Ceramics Kx Na1-x Nb O3 over the Temperature Range 10-1023 K.” <i>Physical Review
    B - Condensed Matter and Materials Physics</i>. American Physical Society, 2007.
    <a href="https://doi.org/10.1103/PhysRevB.76.134106">https://doi.org/10.1103/PhysRevB.76.134106</a>.
  ieee: M. Lemeshko <i>et al.</i>, “EXAFS studies of the local atomic structure of
    the lead free piezoelectric ceramics Kx Na1-x Nb O3 over the temperature range
    10-1023 K,” <i>Physical Review B - Condensed Matter and Materials Physics</i>,
    vol. 76, no. 13. American Physical Society, 2007.
  ista: Lemeshko M, Nazarenko E, Gonchar A, Reznichenko L, Nedoseykina T, Novakovich
    A, Mathon O, Joly Y, Vedrinskiǐ R. 2007. EXAFS studies of the local atomic structure
    of the lead free piezoelectric ceramics Kx Na1-x Nb O3 over the temperature range
    10-1023 K. Physical Review B - Condensed Matter and Materials Physics. 76(13).
  mla: Lemeshko, Mikhail, et al. “EXAFS Studies of the Local Atomic Structure of the
    Lead Free Piezoelectric Ceramics Kx Na1-x Nb O3 over the Temperature Range 10-1023
    K.” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 76,
    no. 13, American Physical Society, 2007, doi:<a href="https://doi.org/10.1103/PhysRevB.76.134106">10.1103/PhysRevB.76.134106</a>.
  short: M. Lemeshko, E. Nazarenko, A. Gonchar, L. Reznichenko, T. Nedoseykina, A.
    Novakovich, O. Mathon, Y. Joly, R. Vedrinskiǐ, Physical Review B - Condensed Matter
    and Materials Physics 76 (2007).
date_created: 2018-12-11T11:55:58Z
date_published: 2007-10-09T00:00:00Z
date_updated: 2021-01-12T06:55:35Z
day: '09'
doi: 10.1103/PhysRevB.76.134106
extern: 1
intvolume: '        76'
issue: '13'
month: '10'
publication: Physical Review B - Condensed Matter and Materials Physics
publication_status: published
publisher: American Physical Society
publist_id: '4879'
quality_controlled: 0
status: public
title: EXAFS studies of the local atomic structure of the lead free piezoelectric
  ceramics Kx Na1-x Nb O3 over the temperature range 10-1023 K
type: journal_article
volume: 76
year: '2007'
...
---
_id: '219'
abstract:
- lang: eng
  text: This paper contains a proof of the Manin conjecture for the singular cubic
    surface S ⊂ P3 that is defined by the equation x1 x22 + x2 x02 + x33 = 0. In fact
    if U ⊂ S is the Zariski open subset obtained by deleting the unique line from
    S, and H is the usual exponential height on P3 (Q), then the height zeta function
    ∑x ∈ U (Q) H (x)- s is analytically continued to the half-plane R e (s) &gt; 9
    / 10.
acknowledgement: EPSRC grant number GR/R93155/01
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
- first_name: Ulrich
  full_name: Derenthal, Ulrich
  last_name: Derenthal
citation:
  ama: De La Bretèche R, Browning TD, Derenthal U. On Manin’s conjecture for a certain
    singular cubic surface. <i>Annales Scientifiques de l’Ecole Normale Superieure</i>.
    2007;40(1):1-50. doi:<a href="https://doi.org/10.1016/j.ansens.2006.12.002">10.1016/j.ansens.2006.12.002</a>
  apa: De La Bretèche, R., Browning, T. D., &#38; Derenthal, U. (2007). On Manin’s
    conjecture for a certain singular cubic surface. <i>Annales Scientifiques de l’Ecole
    Normale Superieure</i>. Societe Mathematique de France. <a href="https://doi.org/10.1016/j.ansens.2006.12.002">https://doi.org/10.1016/j.ansens.2006.12.002</a>
  chicago: De La Bretèche, Régis, Timothy D Browning, and Ulrich Derenthal. “On Manin’s
    Conjecture for a Certain Singular Cubic Surface.” <i>Annales Scientifiques de
    l’Ecole Normale Superieure</i>. Societe Mathematique de France, 2007. <a href="https://doi.org/10.1016/j.ansens.2006.12.002">https://doi.org/10.1016/j.ansens.2006.12.002</a>.
  ieee: R. De La Bretèche, T. D. Browning, and U. Derenthal, “On Manin’s conjecture
    for a certain singular cubic surface,” <i>Annales Scientifiques de l’Ecole Normale
    Superieure</i>, vol. 40, no. 1. Societe Mathematique de France, pp. 1–50, 2007.
  ista: De La Bretèche R, Browning TD, Derenthal U. 2007. On Manin’s conjecture for
    a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure.
    40(1), 1–50.
  mla: De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Certain Singular
    Cubic Surface.” <i>Annales Scientifiques de l’Ecole Normale Superieure</i>, vol.
    40, no. 1, Societe Mathematique de France, 2007, pp. 1–50, doi:<a href="https://doi.org/10.1016/j.ansens.2006.12.002">10.1016/j.ansens.2006.12.002</a>.
  short: R. De La Bretèche, T.D. Browning, U. Derenthal, Annales Scientifiques de
    l’Ecole Normale Superieure 40 (2007) 1–50.
date_created: 2018-12-11T11:45:16Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:53Z
day: '01'
doi: 10.1016/j.ansens.2006.12.002
extern: '1'
intvolume: '        40'
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 1 - 50
publication: Annales Scientifiques de l'Ecole Normale Superieure
publication_status: published
publisher: Societe Mathematique de France
publist_id: '7693'
status: public
title: On Manin's conjecture for a certain singular cubic surface
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 40
year: '2007'
...
---
_id: '220'
abstract:
- lang: eng
  text: Let X ⊂ ℙN be a geometrically integral cubic hypersurface defined over ℚ,
    with singular locus of dimension at most dim X - 4. The main result in this paper
    is a proof of the fact that X(ℚ) contains OεX,(BdimX+ε) points of height at most
    B.
author:
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: Browning TD. Counting rational points on cubic hypersurfaces. <i>Mathematika</i>.
    2007;54(1-2):93-112. doi:<a href="https://doi.org/10.1112/S0025579300000243">10.1112/S0025579300000243</a>
  apa: Browning, T. D. (2007). Counting rational points on cubic hypersurfaces. <i>Mathematika</i>.
    University College London. <a href="https://doi.org/10.1112/S0025579300000243">https://doi.org/10.1112/S0025579300000243</a>
  chicago: Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces.”
    <i>Mathematika</i>. University College London, 2007. <a href="https://doi.org/10.1112/S0025579300000243">https://doi.org/10.1112/S0025579300000243</a>.
  ieee: T. D. Browning, “Counting rational points on cubic hypersurfaces,” <i>Mathematika</i>,
    vol. 54, no. 1–2. University College London, pp. 93–112, 2007.
  ista: Browning TD. 2007. Counting rational points on cubic hypersurfaces. Mathematika.
    54(1–2), 93–112.
  mla: Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces.” <i>Mathematika</i>,
    vol. 54, no. 1–2, University College London, 2007, pp. 93–112, doi:<a href="https://doi.org/10.1112/S0025579300000243">10.1112/S0025579300000243</a>.
  short: T.D. Browning, Mathematika 54 (2007) 93–112.
date_created: 2018-12-11T11:45:16Z
date_published: 2007-12-21T00:00:00Z
date_updated: 2021-01-12T06:55:56Z
day: '21'
doi: 10.1112/S0025579300000243
extern: 1
intvolume: '        54'
issue: 1-2
month: '12'
page: 93 - 112
publication: Mathematika
publication_status: published
publisher: University College London
publist_id: '7692'
quality_controlled: 0
status: public
title: Counting rational points on cubic hypersurfaces
type: journal_article
volume: 54
year: '2007'
...
---
_id: '221'
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. On Manin’s conjecture for singular del Pezzo
    surfaces of degree four, I. <i>Michigan Mathematical Journal</i>. 2007;55(1):51-80.
    doi:<a href="https://doi.org/10.1307/mmj/1177681985">10.1307/mmj/1177681985</a>
  apa: De La Bretèche, R., &#38; Browning, T. D. (2007). On Manin’s conjecture for
    singular del Pezzo surfaces of degree four, I. <i>Michigan Mathematical Journal</i>.
    Project Euclid. <a href="https://doi.org/10.1307/mmj/1177681985">https://doi.org/10.1307/mmj/1177681985</a>
  chicago: De La Bretèche, Régis, and Timothy D Browning. “On Manin’s Conjecture for
    Singular Del Pezzo Surfaces of Degree Four, I.” <i>Michigan Mathematical Journal</i>.
    Project Euclid, 2007. <a href="https://doi.org/10.1307/mmj/1177681985">https://doi.org/10.1307/mmj/1177681985</a>.
  ieee: R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular
    del Pezzo surfaces of degree four, I,” <i>Michigan Mathematical Journal</i>, vol.
    55, no. 1. Project Euclid, pp. 51–80, 2007.
  ista: De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del
    Pezzo surfaces of degree four, I. Michigan Mathematical Journal. 55(1), 51–80.
  mla: De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for
    Singular Del Pezzo Surfaces of Degree Four, I.” <i>Michigan Mathematical Journal</i>,
    vol. 55, no. 1, Project Euclid, 2007, pp. 51–80, doi:<a href="https://doi.org/10.1307/mmj/1177681985">10.1307/mmj/1177681985</a>.
  short: R. De La Bretèche, T.D. Browning, Michigan Mathematical Journal 55 (2007)
    51–80.
date_created: 2018-12-11T11:45:17Z
date_published: 2007-04-27T00:00:00Z
date_updated: 2021-01-12T06:56:00Z
day: '27'
ddc:
- '510'
doi: 10.1307/mmj/1177681985
extern: '1'
external_id:
  arxiv:
  - math/0412086
file:
- access_level: open_access
  checksum: 37663dde30b00d2af8a2606c6630a82f
  content_type: application/pdf
  creator: dernst
  date_created: 2019-04-30T08:27:34Z
  date_updated: 2020-07-14T12:45:32Z
  file_id: '6361'
  file_name: 2007_MichiganMath_Breteche.pdf
  file_size: 256111
  relation: main_file
file_date_updated: 2020-07-14T12:45:32Z
has_accepted_license: '1'
intvolume: '        55'
issue: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 51 - 80
publication: Michigan Mathematical Journal
publication_status: published
publisher: Project Euclid
publist_id: '7691'
quality_controlled: '1'
status: public
title: On Manin's conjecture for singular del Pezzo surfaces of degree four, I
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 55
year: '2007'
...
---
_id: '222'
abstract:
- lang: eng
  text: Acknowledgements. The authors are grateful to Ulrich Derenthal and Brendan
    Hassett for several useful conversations relating to universal torsors for singular
    del Pezzo surfaces. Special thanks are due to Roger Heath–Brown whose ideas led
    us to the proof of Lemma 6. The paper was finalised while the first author was
    at the École Normale Supérieure, and the second author was at Oxford University
    supported by EPSRC grant number GR/R93155/01. The hospitality and financial support
    of these institutions is gratefully acknowledged. Finally, the authors would like
    to thank the anonymous referee for his careful reading of the manuscript and numerous
    useful suggestions.
acknowledgement: GR/R93155/01
author:
- first_name: Régis
  full_name: de la Bretèche, Régis
  last_name: De La Bretèche
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: De La Bretèche R, Browning TD. On Manin’s conjecture for singular del Pezzo
    surfaces of degree four, II. <i>Mathematical Proceedings of the Cambridge Philosophical
    Society</i>. 2007;143(3):579-605. doi:<a href="https://doi.org/10.1017/S0305004107000205">10.1017/S0305004107000205</a>
  apa: De La Bretèche, R., &#38; Browning, T. D. (2007). On Manin’s conjecture for
    singular del Pezzo surfaces of degree four, II. <i>Mathematical Proceedings of
    the Cambridge Philosophical Society</i>. Unknown. <a href="https://doi.org/10.1017/S0305004107000205">https://doi.org/10.1017/S0305004107000205</a>
  chicago: De La Bretèche, Régis, and Timothy D Browning. “On Manin’s Conjecture for
    Singular Del Pezzo Surfaces of Degree Four, II.” <i>Mathematical Proceedings of
    the Cambridge Philosophical Society</i>. Unknown, 2007. <a href="https://doi.org/10.1017/S0305004107000205">https://doi.org/10.1017/S0305004107000205</a>.
  ieee: R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular
    del Pezzo surfaces of degree four, II,” <i>Mathematical Proceedings of the Cambridge
    Philosophical Society</i>, vol. 143, no. 3. Unknown, pp. 579–605, 2007.
  ista: De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del
    Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical
    Society. 143(3), 579–605.
  mla: De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for
    Singular Del Pezzo Surfaces of Degree Four, II.” <i>Mathematical Proceedings of
    the Cambridge Philosophical Society</i>, vol. 143, no. 3, Unknown, 2007, pp. 579–605,
    doi:<a href="https://doi.org/10.1017/S0305004107000205">10.1017/S0305004107000205</a>.
  short: R. De La Bretèche, T.D. Browning, Mathematical Proceedings of the Cambridge
    Philosophical Society 143 (2007) 579–605.
date_created: 2018-12-11T11:45:17Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:05Z
day: '01'
doi: 10.1017/S0305004107000205
extern: 1
intvolume: '       143'
issue: '3'
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/math/0502510v4
month: '01'
oa: 1
page: 579 - 605
publication: Mathematical Proceedings of the Cambridge Philosophical Society
publication_status: published
publisher: Unknown
publist_id: '7689'
quality_controlled: 0
status: public
title: On Manin's conjecture for singular del Pezzo surfaces of degree four, II
type: journal_article
volume: 143
year: '2007'
...
---
_id: '223'
abstract:
- lang: eng
  text: Let Q be a non-singular diagonal quadratic form in at least four variables.
    We provide upper bounds for the number of integer solutions to the equation Q
    = 0, which lie in a box with sides of length 2B, as B → ∞. The estimates obtained
    are completely uniform in the coefficients of the form, and become sharper as
    they grow larger in modulus.
author:
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: Browning TD. Density of integer solutions to diagonal quadratic forms. <i>Monatshefte
    fur Mathematik</i>. 2007;152(1):13-38. doi:<a href="https://doi.org/10.1007/s00605-007-0457-5">10.1007/s00605-007-0457-5</a>
  apa: Browning, T. D. (2007). Density of integer solutions to diagonal quadratic
    forms. <i>Monatshefte Fur Mathematik</i>. Springer. <a href="https://doi.org/10.1007/s00605-007-0457-5">https://doi.org/10.1007/s00605-007-0457-5</a>
  chicago: Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic
    Forms.” <i>Monatshefte Fur Mathematik</i>. Springer, 2007. <a href="https://doi.org/10.1007/s00605-007-0457-5">https://doi.org/10.1007/s00605-007-0457-5</a>.
  ieee: T. D. Browning, “Density of integer solutions to diagonal quadratic forms,”
    <i>Monatshefte fur Mathematik</i>, vol. 152, no. 1. Springer, pp. 13–38, 2007.
  ista: Browning TD. 2007. Density of integer solutions to diagonal quadratic forms.
    Monatshefte fur Mathematik. 152(1), 13–38.
  mla: Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.”
    <i>Monatshefte Fur Mathematik</i>, vol. 152, no. 1, Springer, 2007, pp. 13–38,
    doi:<a href="https://doi.org/10.1007/s00605-007-0457-5">10.1007/s00605-007-0457-5</a>.
  short: T.D. Browning, Monatshefte Fur Mathematik 152 (2007) 13–38.
date_created: 2018-12-11T11:45:17Z
date_published: 2007-09-01T00:00:00Z
date_updated: 2021-01-12T06:56:09Z
day: '01'
doi: 10.1007/s00605-007-0457-5
extern: 1
intvolume: '       152'
issue: '1'
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/math/0603569
month: '09'
oa: 1
page: 13 - 38
publication: Monatshefte fur Mathematik
publication_status: published
publisher: Springer
publist_id: '7690'
quality_controlled: 0
status: public
title: Density of integer solutions to diagonal quadratic forms
type: journal_article
volume: 152
year: '2007'
...
---
_id: '2367'
abstract:
- lang: eng
  text: It was recently shown by Hansen that the Wigner-Yanase entropy is, for general
    states of quantum systems, not subadditive with respect to decomposition into
    two subsystems, although this property is known to hold for pure states. We investigate
    the question whether the weaker property of subadditivity for pure states with
    respect to decomposition into more than two subsystems holds. This property would
    have interesting applications in quantum chemistry. We show, however, that it
    does not hold in general, and provide a counterexample.
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. On the failure of subadditivity of the Wigner-Yanase entropy.
    <i>Letters in Mathematical Physics</i>. 2007;80(3):285-288. doi:<a href="https://doi.org/10.1007/s11005-007-0159-x">10.1007/s11005-007-0159-x</a>
  apa: Seiringer, R. (2007). On the failure of subadditivity of the Wigner-Yanase
    entropy. <i>Letters in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s11005-007-0159-x">https://doi.org/10.1007/s11005-007-0159-x</a>
  chicago: Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase
    Entropy.” <i>Letters in Mathematical Physics</i>. Springer, 2007. <a href="https://doi.org/10.1007/s11005-007-0159-x">https://doi.org/10.1007/s11005-007-0159-x</a>.
  ieee: R. Seiringer, “On the failure of subadditivity of the Wigner-Yanase entropy,”
    <i>Letters in Mathematical Physics</i>, vol. 80, no. 3. Springer, pp. 285–288,
    2007.
  ista: Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy.
    Letters in Mathematical Physics. 80(3), 285–288.
  mla: Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.”
    <i>Letters in Mathematical Physics</i>, vol. 80, no. 3, Springer, 2007, pp. 285–88,
    doi:<a href="https://doi.org/10.1007/s11005-007-0159-x">10.1007/s11005-007-0159-x</a>.
  short: R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
date_created: 2018-12-11T11:57:15Z
date_published: 2007-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:03Z
day: '01'
doi: 10.1007/s11005-007-0159-x
extern: 1
intvolume: '        80'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0704.1435
month: '06'
oa: 1
page: 285 - 288
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4557'
quality_controlled: 0
status: public
title: On the failure of subadditivity of the Wigner-Yanase entropy
type: journal_article
volume: 80
year: '2007'
...
---
_id: '2370'
abstract:
- lang: eng
  text: After recalling briefly the connection between spontaneous symmetry breaking
    and off-diagonal long-range order for models of magnets a general proof of spontaneous
    breaking of gauge symmetry as a consequence of Bose-Einstein condensation is presented.
    The proof is based on a rigorous validation of Bogoliubov's c-number substitution
    for the k = 0 mode operator α0.
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. Bose-Einstein condensation and spontaneous
    symmetry breaking. <i>Reports on Mathematical Physics</i>. 2007;59(3):389-399.
    doi:<a href="https://doi.org/10.1016/S0034-4877(07)80074-7">10.1016/S0034-4877(07)80074-7</a>
  apa: Lieb, É., Seiringer, R., &#38; Yngvason, J. (2007). Bose-Einstein condensation
    and spontaneous symmetry breaking. <i>Reports on Mathematical Physics</i>. Elsevier.
    <a href="https://doi.org/10.1016/S0034-4877(07)80074-7">https://doi.org/10.1016/S0034-4877(07)80074-7</a>
  chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation
    and Spontaneous Symmetry Breaking.” <i>Reports on Mathematical Physics</i>. Elsevier,
    2007. <a href="https://doi.org/10.1016/S0034-4877(07)80074-7">https://doi.org/10.1016/S0034-4877(07)80074-7</a>.
  ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Bose-Einstein condensation and spontaneous
    symmetry breaking,” <i>Reports on Mathematical Physics</i>, vol. 59, no. 3. Elsevier,
    pp. 389–399, 2007.
  ista: Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous
    symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.
  mla: Lieb, Élliott, et al. “Bose-Einstein Condensation and Spontaneous Symmetry
    Breaking.” <i>Reports on Mathematical Physics</i>, vol. 59, no. 3, Elsevier, 2007,
    pp. 389–99, doi:<a href="https://doi.org/10.1016/S0034-4877(07)80074-7">10.1016/S0034-4877(07)80074-7</a>.
  short: É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007)
    389–399.
date_created: 2018-12-11T11:57:16Z
date_published: 2007-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:04Z
day: '01'
doi: 10.1016/S0034-4877(07)80074-7
extern: 1
intvolume: '        59'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0610034
month: '06'
oa: 1
page: 389 - 399
publication: Reports on Mathematical Physics
publication_status: published
publisher: Elsevier
publist_id: '4556'
quality_controlled: 0
status: public
title: Bose-Einstein condensation and spontaneous symmetry breaking
type: journal_article
volume: 59
year: '2007'
...
---
_id: '2371'
abstract:
- lang: eng
  text: We give a proof of stability of relativistic matter with magnetic fields all
    the way up to the critical value of the nuclear charge Zα = 2/π.
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. Stability of relativistic matter with magnetic
    fields for nuclear charges up to the critical value. <i>Communications in Mathematical
    Physics</i>. 2007;275(2):479-489. doi:<a href="https://doi.org/10.1007/s00220-007-0307-2">10.1007/s00220-007-0307-2</a>
  apa: Frank, R., Lieb, É., &#38; Seiringer, R. (2007). Stability of relativistic
    matter with magnetic fields for nuclear charges up to the critical value. <i>Communications
    in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s00220-007-0307-2">https://doi.org/10.1007/s00220-007-0307-2</a>
  chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Stability of Relativistic
    Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” <i>Communications
    in Mathematical Physics</i>. Springer, 2007. <a href="https://doi.org/10.1007/s00220-007-0307-2">https://doi.org/10.1007/s00220-007-0307-2</a>.
  ieee: R. Frank, É. Lieb, and R. Seiringer, “Stability of relativistic matter with
    magnetic fields for nuclear charges up to the critical value,” <i>Communications
    in Mathematical Physics</i>, vol. 275, no. 2. Springer, pp. 479–489, 2007.
  ista: Frank R, Lieb É, Seiringer R. 2007. Stability of relativistic matter with
    magnetic fields for nuclear charges up to the critical value. Communications in
    Mathematical Physics. 275(2), 479–489.
  mla: Frank, Rupert, et al. “Stability of Relativistic Matter with Magnetic Fields
    for Nuclear Charges up to the Critical Value.” <i>Communications in Mathematical
    Physics</i>, vol. 275, no. 2, Springer, 2007, pp. 479–89, doi:<a href="https://doi.org/10.1007/s00220-007-0307-2">10.1007/s00220-007-0307-2</a>.
  short: R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275
    (2007) 479–489.
date_created: 2018-12-11T11:57:16Z
date_published: 2007-10-01T00:00:00Z
date_updated: 2021-01-12T06:57:05Z
day: '01'
doi: 10.1007/s00220-007-0307-2
extern: 1
intvolume: '       275'
issue: '2'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0610062
month: '10'
oa: 1
page: 479 - 489
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4555'
quality_controlled: 0
status: public
title: Stability of relativistic matter with magnetic fields for nuclear charges up
  to the critical value
type: journal_article
volume: 275
year: '2007'
...
---
_id: '2372'
abstract:
- lang: eng
  text: The increasing interest in the Müller density-matrix-functional theory has
    led us to a systematic mathematical investigation of its properties. This functional
    is similar to the Hartree-Fock (HF) functional, but with a modified exchange term
    in which the square of the density matrix γ(x, x′) is replaced by the square of
    γ1 2 (x, x′). After an extensive introductory discussion of density-matrix-functional
    theory we show, among other things, that this functional is convex (unlike the
    HF functional) and that energy minimizing γ 's have unique densities ρ(r), which
    is a physically desirable property often absent in HF theory. We show that minimizers
    exist if N≤Z, and derive various properties of the minimal energy and the corresponding
    minimizers. We also give a precise statement about the equation for the orbitals
    of γ, which is more complex than for HF theory. We state some open mathematical
    questions about the theory together with conjectured solutions.
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: Heinz
  full_name: Siedentop, Heinz K
  last_name: Siedentop
citation:
  ama: Frank R, Lieb É, Seiringer R, Siedentop H. Müller’s exchange-correlation energy
    in density-matrix-functional theory. <i>Physical Review A - Atomic, Molecular,
    and Optical Physics</i>. 2007;76(5). doi:<a href="https://doi.org/10.1103/PhysRevA.76.052517">10.1103/PhysRevA.76.052517</a>
  apa: Frank, R., Lieb, É., Seiringer, R., &#38; Siedentop, H. (2007). Müller’s exchange-correlation
    energy in density-matrix-functional theory. <i>Physical Review A - Atomic, Molecular,
    and Optical Physics</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevA.76.052517">https://doi.org/10.1103/PhysRevA.76.052517</a>
  chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Heinz Siedentop. “Müller’s
    Exchange-Correlation Energy in Density-Matrix-Functional Theory.” <i>Physical
    Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society,
    2007. <a href="https://doi.org/10.1103/PhysRevA.76.052517">https://doi.org/10.1103/PhysRevA.76.052517</a>.
  ieee: R. Frank, É. Lieb, R. Seiringer, and H. Siedentop, “Müller’s exchange-correlation
    energy in density-matrix-functional theory,” <i>Physical Review A - Atomic, Molecular,
    and Optical Physics</i>, vol. 76, no. 5. American Physical Society, 2007.
  ista: Frank R, Lieb É, Seiringer R, Siedentop H. 2007. Müller’s exchange-correlation
    energy in density-matrix-functional theory. Physical Review A - Atomic, Molecular,
    and Optical Physics. 76(5).
  mla: Frank, Rupert, et al. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional
    Theory.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol.
    76, no. 5, American Physical Society, 2007, doi:<a href="https://doi.org/10.1103/PhysRevA.76.052517">10.1103/PhysRevA.76.052517</a>.
  short: R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic,
    Molecular, and Optical Physics 76 (2007).
date_created: 2018-12-11T11:57:17Z
date_published: 2007-11-30T00:00:00Z
date_updated: 2021-01-12T06:57:05Z
day: '30'
doi: 10.1103/PhysRevA.76.052517
extern: 1
intvolume: '        76'
issue: '5'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0705.1587
month: '11'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4554'
quality_controlled: 0
status: public
title: Müller's exchange-correlation energy in density-matrix-functional theory
type: journal_article
volume: 76
year: '2007'
...
