@article{8509,
  abstract     = {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} $.},
  author       = {Kaloshin, Vadim and Levi, Mark},
  issn         = {0036-1445},
  journal      = {SIAM Review},
  keywords     = {Theoretical Computer Science, Applied Mathematics, Computational Mathematics},
  number       = {4},
  pages        = {702--720},
  publisher    = {Society for Industrial & Applied Mathematics},
  title        = {{Geometry of Arnold diffusion}},
  doi          = {10.1137/070703235},
  volume       = {50},
  year         = {2008},
}