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