{"language":[{"iso":"eng"}],"oa_version":"None","date_updated":"2021-01-12T08:19:09Z","volume":376,"title":"On the integrability of Birkhoff billiards","publication_identifier":{"issn":["1364-503X","1471-2962"]},"abstract":[{"lang":"eng","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’."}],"article_processing_charge":"No","article_number":"20170419","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1098/rsta.2017.0419","_id":"8419","keyword":["General Engineering","General Physics and Astronomy","General Mathematics"],"month":"10","issue":"2131","publisher":"The Royal Society","author":[{"orcid":"0000-0002-6051-2628","last_name":"Kaloshin","first_name":"Vadim","full_name":"Kaloshin, Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425"},{"last_name":"Sorrentino","full_name":"Sorrentino, Alfonso","first_name":"Alfonso"}],"intvolume":"       376","citation":{"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>.","short":"V. Kaloshin, A. Sorrentino, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 (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>","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>","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.","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>."},"status":"public","date_created":"2020-09-17T10:42:01Z","publication":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","extern":"1","type":"journal_article","quality_controlled":"1","article_type":"original","year":"2018","publication_status":"published","day":"28","date_published":"2018-10-28T00:00:00Z"}