Geometry of Arnold diffusion Kaloshin, Vadim ; https://orcid.org/0000-0002-6051-2628 Levi, Mark Theoretical Computer Science Applied Mathematics Computational Mathematics 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} $. Society for Industrial & Applied Mathematics 2008 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/8509 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> eng info:eu-repo/semantics/altIdentifier/doi/10.1137/070703235 info:eu-repo/semantics/altIdentifier/issn/0036-1445 info:eu-repo/semantics/altIdentifier/issn/1095-7200 info:eu-repo/semantics/closedAccess