{"article_processing_charge":"No","title":"Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle","month":"07","date_updated":"2021-01-12T08:19:12Z","citation":{"chicago":"De Simoi, Jacopo, Vadim Kaloshin, and Qiaoling Wei. “Dynamical Spectral Rigidity among Z2-Symmetric Strictly Convex Domains Close to a Circle.” <i>Annals of Mathematics</i>. Annals of Mathematics, 2017. <a href=\"https://doi.org/10.4007/annals.2017.186.1.7\">https://doi.org/10.4007/annals.2017.186.1.7</a>.","apa":"De Simoi, J., Kaloshin, V., &#38; Wei, Q. (2017). Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle. <i>Annals of Mathematics</i>. Annals of Mathematics. <a href=\"https://doi.org/10.4007/annals.2017.186.1.7\">https://doi.org/10.4007/annals.2017.186.1.7</a>","ieee":"J. De Simoi, V. Kaloshin, and Q. Wei, “Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle,” <i>Annals of Mathematics</i>, vol. 186, no. 1. Annals of Mathematics, pp. 277–314, 2017.","ama":"De Simoi J, Kaloshin V, Wei Q. Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle. <i>Annals of Mathematics</i>. 2017;186(1):277-314. doi:<a href=\"https://doi.org/10.4007/annals.2017.186.1.7\">10.4007/annals.2017.186.1.7</a>","ista":"De Simoi J, Kaloshin V, Wei Q. 2017. Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle. Annals of Mathematics. 186(1), 277–314.","short":"J. De Simoi, V. Kaloshin, Q. Wei, Annals of Mathematics 186 (2017) 277–314.","mla":"De Simoi, Jacopo, et al. “Dynamical Spectral Rigidity among Z2-Symmetric Strictly Convex Domains Close to a Circle.” <i>Annals of Mathematics</i>, vol. 186, no. 1, Annals of Mathematics, 2017, pp. 277–314, doi:<a href=\"https://doi.org/10.4007/annals.2017.186.1.7\">10.4007/annals.2017.186.1.7</a>."},"type":"journal_article","date_created":"2020-09-17T10:46:42Z","article_type":"original","extern":"1","status":"public","oa_version":"Preprint","year":"2017","abstract":[{"lang":"eng","text":"We show that any sufficiently (finitely) smooth ℤ₂-symmetric strictly convex domain sufficiently close to a circle is dynamically spectrally rigid; i.e., all deformations among domains in the same class that preserve the length of all periodic orbits of the associated billiard flow must necessarily be isometric deformations. This gives a partial answer to a question of P. Sarnak."}],"publication_identifier":{"issn":["0003-486X"]},"publisher":"Annals of Mathematics","issue":"1","external_id":{"arxiv":["1606.00230"]},"doi":"10.4007/annals.2017.186.1.7","author":[{"last_name":"De Simoi","full_name":"De Simoi, Jacopo","first_name":"Jacopo"},{"first_name":"Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","orcid":"0000-0002-6051-2628","last_name":"Kaloshin","full_name":"Kaloshin, Vadim"},{"last_name":"Wei","full_name":"Wei, Qiaoling","first_name":"Qiaoling"}],"volume":186,"_id":"8427","date_published":"2017-07-01T00:00:00Z","publication":"Annals of Mathematics","publication_status":"published","day":"01","page":"277-314","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1606.00230"}],"intvolume":"       186","quality_controlled":"1","language":[{"iso":"eng"}]}