[{"_id":"8416","author":[{"last_name":"Huang","first_name":"Guan","full_name":"Huang, Guan"},{"id":"FE553552-CDE8-11E9-B324-C0EBE5697425","orcid":"0000-0002-6051-2628","full_name":"Kaloshin, Vadim","first_name":"Vadim","last_name":"Kaloshin"}],"issue":"2","publication_status":"published","date_created":"2020-09-17T10:41:36Z","article_processing_charge":"No","title":"On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables","intvolume":"        19","page":"307-327","quality_controlled":"1","publisher":"American Mathematical Society","article_type":"original","date_updated":"2021-01-12T08:19:08Z","citation":{"short":"G. Huang, V. Kaloshin, Moscow Mathematical Journal 19 (2019) 307–327.","mla":"Huang, Guan, and Vadim Kaloshin. “On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables.” <i>Moscow Mathematical Journal</i>, vol. 19, no. 2, American Mathematical Society, 2019, pp. 307–27, doi:<a href=\"https://doi.org/10.17323/1609-4514-2019-19-2-307-327\">10.17323/1609-4514-2019-19-2-307-327</a>.","ista":"Huang G, Kaloshin V. 2019. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. 19(2), 307–327.","apa":"Huang, G., &#38; Kaloshin, V. (2019). On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. <i>Moscow Mathematical Journal</i>. American Mathematical Society. <a href=\"https://doi.org/10.17323/1609-4514-2019-19-2-307-327\">https://doi.org/10.17323/1609-4514-2019-19-2-307-327</a>","ama":"Huang G, Kaloshin V. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. <i>Moscow Mathematical Journal</i>. 2019;19(2):307-327. doi:<a href=\"https://doi.org/10.17323/1609-4514-2019-19-2-307-327\">10.17323/1609-4514-2019-19-2-307-327</a>","ieee":"G. Huang and V. Kaloshin, “On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables,” <i>Moscow Mathematical Journal</i>, vol. 19, no. 2. American Mathematical Society, pp. 307–327, 2019.","chicago":"Huang, Guan, and Vadim Kaloshin. “On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables.” <i>Moscow Mathematical Journal</i>. American Mathematical Society, 2019. <a href=\"https://doi.org/10.17323/1609-4514-2019-19-2-307-327\">https://doi.org/10.17323/1609-4514-2019-19-2-307-327</a>."},"year":"2019","external_id":{"arxiv":["1809.09341"]},"arxiv":1,"doi":"10.17323/1609-4514-2019-19-2-307-327","day":"01","abstract":[{"lang":"eng","text":"In this paper, we show that any smooth one-parameter deformations of a strictly convex integrable billiard table Ω0 preserving the integrability near the boundary have to be tangent to a finite dimensional space passing through Ω0."}],"volume":19,"extern":"1","publication":"Moscow Mathematical Journal","oa_version":"Preprint","month":"04","language":[{"iso":"eng"}],"date_published":"2019-04-01T00:00:00Z","type":"journal_article","publication_identifier":{"issn":["1609-4514"]},"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1809.09341"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public"},{"year":"2014","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>","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>","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.","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>.","short":"A. Bounemoura, V. Kaloshin, Moscow Mathematical Journal 14 (2014) 181–203.","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>.","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."},"date_updated":"2021-01-12T08:19:43Z","external_id":{"arxiv":["1304.3050"]},"day":"01","doi":"10.17323/1609-4514-2014-14-2-181-203","arxiv":1,"abstract":[{"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.","lang":"eng"}],"volume":14,"extern":"1","_id":"8501","issue":"2","author":[{"first_name":"Abed","last_name":"Bounemoura","full_name":"Bounemoura, Abed"},{"id":"FE553552-CDE8-11E9-B324-C0EBE5697425","first_name":"Vadim","last_name":"Kaloshin","orcid":"0000-0002-6051-2628","full_name":"Kaloshin, Vadim"}],"article_processing_charge":"No","date_created":"2020-09-18T10:47:09Z","publication_status":"published","intvolume":"        14","title":"Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom","quality_controlled":"1","page":"181-203","publisher":"Independent University of Moscow","article_type":"original","type":"journal_article","date_published":"2014-04-01T00:00:00Z","publication_identifier":{"issn":["1609-3321","1609-4514"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","publication":"Moscow Mathematical Journal","oa_version":"Preprint","month":"04","keyword":["General Mathematics"],"language":[{"iso":"eng"}]}]