---
_id: '1876'
abstract:
- lang: eng
  text: We study densities of functionals over uniformly bounded triangulations of
    a Delaunay set of vertices, and prove that the minimum is attained for the Delaunay
    triangulation if this is the case for finite sets.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nikolai
  full_name: Dolbilin, Nikolai
  last_name: Dolbilin
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Alexey
  full_name: Glazyrin, Alexey
  last_name: Glazyrin
- first_name: Oleg
  full_name: Musin, Oleg
  last_name: Musin
citation:
  ama: Dolbilin N, Edelsbrunner H, Glazyrin A, Musin O. Functionals on triangulations
    of delaunay sets. <i>Moscow Mathematical Journal</i>. 2014;14(3):491-504. doi:<a
    href="https://doi.org/10.17323/1609-4514-2014-14-3-491-504">10.17323/1609-4514-2014-14-3-491-504</a>
  apa: Dolbilin, N., Edelsbrunner, H., Glazyrin, A., &#38; Musin, O. (2014). Functionals
    on triangulations of delaunay sets. <i>Moscow Mathematical Journal</i>. Independent
    University of Moscow. <a href="https://doi.org/10.17323/1609-4514-2014-14-3-491-504">https://doi.org/10.17323/1609-4514-2014-14-3-491-504</a>
  chicago: Dolbilin, Nikolai, Herbert Edelsbrunner, Alexey Glazyrin, and Oleg Musin.
    “Functionals on Triangulations of Delaunay Sets.” <i>Moscow Mathematical Journal</i>.
    Independent University of Moscow, 2014. <a href="https://doi.org/10.17323/1609-4514-2014-14-3-491-504">https://doi.org/10.17323/1609-4514-2014-14-3-491-504</a>.
  ieee: N. Dolbilin, H. Edelsbrunner, A. Glazyrin, and O. Musin, “Functionals on triangulations
    of delaunay sets,” <i>Moscow Mathematical Journal</i>, vol. 14, no. 3. Independent
    University of Moscow, pp. 491–504, 2014.
  ista: Dolbilin N, Edelsbrunner H, Glazyrin A, Musin O. 2014. Functionals on triangulations
    of delaunay sets. Moscow Mathematical Journal. 14(3), 491–504.
  mla: Dolbilin, Nikolai, et al. “Functionals on Triangulations of Delaunay Sets.”
    <i>Moscow Mathematical Journal</i>, vol. 14, no. 3, Independent University of
    Moscow, 2014, pp. 491–504, doi:<a href="https://doi.org/10.17323/1609-4514-2014-14-3-491-504">10.17323/1609-4514-2014-14-3-491-504</a>.
  short: N. Dolbilin, H. Edelsbrunner, A. Glazyrin, O. Musin, Moscow Mathematical
    Journal 14 (2014) 491–504.
date_created: 2018-12-11T11:54:29Z
date_published: 2014-07-01T00:00:00Z
date_updated: 2025-07-10T11:51:26Z
day: '01'
department:
- _id: HeEd
doi: 10.17323/1609-4514-2014-14-3-491-504
external_id:
  arxiv:
  - '1211.7053'
fulldoi: https://doi.org/10.17323/1609-4514-2014-14-3-491-504
intvolume: '        14'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1211.7053
month: '07'
oa: 1
oa_version: Submitted Version
page: 491 - 504
publication: Moscow Mathematical Journal
publication_identifier:
  issn:
  - 1609-3321
publication_status: published
publisher: Independent University of Moscow
publist_id: '5220'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Functionals on triangulations of delaunay sets
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 14
year: '2014'
...
---
_id: '8501'
abstract:
- lang: eng
  text: In this paper, we study small perturbations of a class of non-convex integrable
    Hamiltonians with two degrees of freedom, and we prove a result of diffusion for
    an open and dense set of perturbations, with an optimal time of diffusion which
    grows linearly with respect to the inverse of the size of the perturbation.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Abed
  full_name: Bounemoura, Abed
  last_name: Bounemoura
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
citation:
  ama: Bounemoura A, Kaloshin V. Generic fast diffusion for a class of non-convex
    Hamiltonians with two degrees of freedom. <i>Moscow Mathematical Journal</i>.
    2014;14(2):181-203. doi:<a href="https://doi.org/10.17323/1609-4514-2014-14-2-181-203">10.17323/1609-4514-2014-14-2-181-203</a>
  apa: Bounemoura, A., &#38; Kaloshin, V. (2014). Generic fast diffusion for a class
    of non-convex Hamiltonians with two degrees of freedom. <i>Moscow Mathematical
    Journal</i>. Independent University of Moscow. <a href="https://doi.org/10.17323/1609-4514-2014-14-2-181-203">https://doi.org/10.17323/1609-4514-2014-14-2-181-203</a>
  chicago: Bounemoura, Abed, and Vadim Kaloshin. “Generic Fast Diffusion for a Class
    of Non-Convex Hamiltonians with Two Degrees of Freedom.” <i>Moscow Mathematical
    Journal</i>. Independent University of Moscow, 2014. <a href="https://doi.org/10.17323/1609-4514-2014-14-2-181-203">https://doi.org/10.17323/1609-4514-2014-14-2-181-203</a>.
  ieee: A. Bounemoura and V. Kaloshin, “Generic fast diffusion for a class of non-convex
    Hamiltonians with two degrees of freedom,” <i>Moscow Mathematical Journal</i>,
    vol. 14, no. 2. Independent University of Moscow, pp. 181–203, 2014.
  ista: Bounemoura A, Kaloshin V. 2014. Generic fast diffusion for a class of non-convex
    Hamiltonians with two degrees of freedom. Moscow Mathematical Journal. 14(2),
    181–203.
  mla: Bounemoura, Abed, and Vadim Kaloshin. “Generic Fast Diffusion for a Class of
    Non-Convex Hamiltonians with Two Degrees of Freedom.” <i>Moscow Mathematical Journal</i>,
    vol. 14, no. 2, Independent University of Moscow, 2014, pp. 181–203, doi:<a href="https://doi.org/10.17323/1609-4514-2014-14-2-181-203">10.17323/1609-4514-2014-14-2-181-203</a>.
  short: A. Bounemoura, V. Kaloshin, Moscow Mathematical Journal 14 (2014) 181–203.
date_created: 2020-09-18T10:47:09Z
date_published: 2014-04-01T00:00:00Z
date_updated: 2021-01-12T08:19:43Z
day: '01'
doi: 10.17323/1609-4514-2014-14-2-181-203
extern: '1'
external_id:
  arxiv:
  - '1304.3050'
fulldoi: https://doi.org/10.17323/1609-4514-2014-14-2-181-203
intvolume: '        14'
issue: '2'
keyword:
- General Mathematics
language:
- iso: eng
month: '04'
oa_version: Preprint
page: 181-203
publication: Moscow Mathematical Journal
publication_identifier:
  issn:
  - 1609-3321
  - 1609-4514
publication_status: published
publisher: Independent University of Moscow
quality_controlled: '1'
status: public
title: Generic fast diffusion for a class of non-convex Hamiltonians with two degrees
  of freedom
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 14
year: '2014'
...