{"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."}],"publication":"Moscow Mathematical Journal","publication_status":"published","_id":"8501","doi":"10.17323/1609-4514-2014-14-2-181-203","author":[{"last_name":"Bounemoura","first_name":"Abed","full_name":"Bounemoura, Abed"},{"last_name":"Kaloshin","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","full_name":"Kaloshin, Vadim","first_name":"Vadim","orcid":"0000-0002-6051-2628"}],"publication_identifier":{"issn":["1609-3321","1609-4514"]},"extern":"1","type":"journal_article","date_updated":"2021-01-12T08:19:43Z","volume":14,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["1304.3050"]},"status":"public","page":"181-203","month":"04","date_created":"2020-09-18T10:47:09Z","citation":{"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>","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.","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.","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>.","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>","short":"A. Bounemoura, V. Kaloshin, Moscow Mathematical Journal 14 (2014) 181–203."},"article_processing_charge":"No","oa_version":"Preprint","issue":"2","quality_controlled":"1","title":"Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom","language":[{"iso":"eng"}],"intvolume":"        14","date_published":"2014-04-01T00:00:00Z","day":"01","year":"2014","article_type":"original","publisher":"Independent University of Moscow","keyword":["General Mathematics"]}