[{"page":"702-720","issue":"4","publication_identifier":{"issn":["0036-1445","1095-7200"]},"year":"2008","intvolume":"        50","month":"11","type":"journal_article","_id":"8509","date_updated":"2021-01-12T08:19:46Z","title":"Geometry of Arnold diffusion","article_processing_charge":"No","publisher":"Society for Industrial & Applied Mathematics","day":"05","publication":"SIAM Review","date_published":"2008-11-05T00:00:00Z","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} $."}],"language":[{"iso":"eng"}],"doi":"10.1137/070703235","article_type":"original","volume":50,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2020-09-18T10:48:12Z","publication_status":"published","oa_version":"None","keyword":["Theoretical Computer Science","Applied Mathematics","Computational Mathematics"],"extern":"1","citation":{"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>.","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>","short":"V. Kaloshin, M. Levi, SIAM Review 50 (2008) 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>.","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."},"quality_controlled":"1","status":"public","author":[{"first_name":"Vadim","full_name":"Kaloshin, Vadim","orcid":"0000-0002-6051-2628","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","last_name":"Kaloshin"},{"last_name":"Levi","full_name":"Levi, Mark","first_name":"Mark"}]}]