{"_id":"8419","keyword":["General Engineering","General Physics and Astronomy","General Mathematics"],"abstract":[{"text":"In this survey, we provide a concise introduction to convex billiards and describe some recent results, obtained by the authors and collaborators, on the classification of integrable billiards, namely the so-called Birkhoff conjecture.\r\n\r\nThis article is part of the theme issue ‘Finite dimensional integrable systems: new trends and methods’.","lang":"eng"}],"status":"public","type":"journal_article","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","publisher":"The Royal Society","author":[{"id":"FE553552-CDE8-11E9-B324-C0EBE5697425","orcid":"0000-0002-6051-2628","first_name":"Vadim","full_name":"Kaloshin, Vadim","last_name":"Kaloshin"},{"first_name":"Alfonso","full_name":"Sorrentino, Alfonso","last_name":"Sorrentino"}],"publication":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","day":"28","language":[{"iso":"eng"}],"issue":"2131","year":"2018","volume":376,"publication_identifier":{"issn":["1364-503X","1471-2962"]},"title":"On the integrability of Birkhoff billiards","intvolume":"       376","date_created":"2020-09-17T10:42:01Z","date_updated":"2021-01-12T08:19:09Z","month":"10","doi":"10.1098/rsta.2017.0419","citation":{"apa":"Kaloshin, V., &#38; Sorrentino, A. (2018). On the integrability of Birkhoff billiards. <i>Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. The Royal Society. <a href=\"https://doi.org/10.1098/rsta.2017.0419\">https://doi.org/10.1098/rsta.2017.0419</a>","short":"V. Kaloshin, A. Sorrentino, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 (2018).","ista":"Kaloshin V, Sorrentino A. 2018. On the integrability of Birkhoff billiards. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376(2131), 20170419.","mla":"Kaloshin, Vadim, and Alfonso Sorrentino. “On the Integrability of Birkhoff Billiards.” <i>Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 376, no. 2131, 20170419, The Royal Society, 2018, doi:<a href=\"https://doi.org/10.1098/rsta.2017.0419\">10.1098/rsta.2017.0419</a>.","ieee":"V. Kaloshin and A. Sorrentino, “On the integrability of Birkhoff billiards,” <i>Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 376, no. 2131. The Royal Society, 2018.","ama":"Kaloshin V, Sorrentino A. On the integrability of Birkhoff billiards. <i>Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. 2018;376(2131). doi:<a href=\"https://doi.org/10.1098/rsta.2017.0419\">10.1098/rsta.2017.0419</a>","chicago":"Kaloshin, Vadim, and Alfonso Sorrentino. “On the Integrability of Birkhoff Billiards.” <i>Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. The Royal Society, 2018. <a href=\"https://doi.org/10.1098/rsta.2017.0419\">https://doi.org/10.1098/rsta.2017.0419</a>."},"article_processing_charge":"No","date_published":"2018-10-28T00:00:00Z","publication_status":"published","quality_controlled":"1","oa_version":"None","article_number":"20170419","article_type":"original"}