---
_id: '8509'
abstract:
- lang: eng
  text: The goal of this paper is to present to nonspecialists what is perhaps the
    simplest possible geometrical picture explaining the mechanism of Arnold diffusion.
    We choose to speak of a specific model—that of geometric rays in a periodic optical
    medium. This model is equivalent to that of a particle in a periodic potential
    in ${\mathbb R}^{n}$ with energy prescribed and to the geodesic flow in a Riemannian
    metric on ${\mathbb R}^{n} $.
article_processing_charge: No
article_type: original
author:
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: Mark
  full_name: Levi, Mark
  last_name: Levi
citation:
  ama: Kaloshin V, Levi M. Geometry of Arnold diffusion. <i>SIAM Review</i>. 2008;50(4):702-720.
    doi:<a href="https://doi.org/10.1137/070703235">10.1137/070703235</a>
  apa: Kaloshin, V., &#38; Levi, M. (2008). Geometry of Arnold diffusion. <i>SIAM
    Review</i>. Society for Industrial &#38; Applied Mathematics. <a href="https://doi.org/10.1137/070703235">https://doi.org/10.1137/070703235</a>
  chicago: Kaloshin, Vadim, and Mark Levi. “Geometry of Arnold Diffusion.” <i>SIAM
    Review</i>. Society for Industrial &#38; Applied Mathematics, 2008. <a href="https://doi.org/10.1137/070703235">https://doi.org/10.1137/070703235</a>.
  ieee: V. Kaloshin and M. Levi, “Geometry of Arnold diffusion,” <i>SIAM Review</i>,
    vol. 50, no. 4. Society for Industrial &#38; Applied Mathematics, pp. 702–720,
    2008.
  ista: Kaloshin V, Levi M. 2008. Geometry of Arnold diffusion. SIAM Review. 50(4),
    702–720.
  mla: Kaloshin, Vadim, and Mark Levi. “Geometry of Arnold Diffusion.” <i>SIAM Review</i>,
    vol. 50, no. 4, Society for Industrial &#38; Applied Mathematics, 2008, pp. 702–20,
    doi:<a href="https://doi.org/10.1137/070703235">10.1137/070703235</a>.
  short: V. Kaloshin, M. Levi, SIAM Review 50 (2008) 702–720.
date_created: 2020-09-18T10:48:12Z
date_published: 2008-11-05T00:00:00Z
date_updated: 2021-01-12T08:19:46Z
day: '05'
doi: 10.1137/070703235
extern: '1'
intvolume: '        50'
issue: '4'
keyword:
- Theoretical Computer Science
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
month: '11'
oa_version: None
page: 702-720
publication: SIAM Review
publication_identifier:
  issn:
  - 0036-1445
  - 1095-7200
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
status: public
title: Geometry of Arnold diffusion
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 50
year: '2008'
...