{"publication_status":"published","month":"04","date_published":"2019-04-01T00:00:00Z","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."}],"page":"307-327","intvolume":" 19","date_updated":"2021-01-12T08:19:08Z","publisher":"American Mathematical Society","oa_version":"Preprint","day":"01","volume":19,"year":"2019","type":"journal_article","citation":{"chicago":"Huang, Guan, and Vadim Kaloshin. “On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables.” Moscow Mathematical Journal. American Mathematical Society, 2019. https://doi.org/10.17323/1609-4514-2019-19-2-307-327.","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., & Kaloshin, V. (2019). On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. American Mathematical Society. https://doi.org/10.17323/1609-4514-2019-19-2-307-327","short":"G. Huang, V. Kaloshin, Moscow Mathematical Journal 19 (2019) 307–327.","ama":"Huang G, Kaloshin V. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. 2019;19(2):307-327. doi:10.17323/1609-4514-2019-19-2-307-327","ieee":"G. Huang and V. Kaloshin, “On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables,” Moscow Mathematical Journal, vol. 19, no. 2. American Mathematical Society, pp. 307–327, 2019.","mla":"Huang, Guan, and Vadim Kaloshin. “On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables.” Moscow Mathematical Journal, vol. 19, no. 2, American Mathematical Society, 2019, pp. 307–27, doi:10.17323/1609-4514-2019-19-2-307-327."},"extern":"1","date_created":"2020-09-17T10:41:36Z","status":"public","article_processing_charge":"No","author":[{"full_name":"Huang, Guan","last_name":"Huang","first_name":"Guan"},{"last_name":"Kaloshin","full_name":"Kaloshin, Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","orcid":"0000-0002-6051-2628","first_name":"Vadim"}],"issue":"2","title":"On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables","article_type":"original","doi":"10.17323/1609-4514-2019-19-2-307-327","publication":"Moscow Mathematical Journal","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["1809.09341"]},"_id":"8416","oa":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["1609-4514"]},"main_file_link":[{"url":"https://arxiv.org/abs/1809.09341","open_access":"1"}]}