{"language":[{"iso":"eng"}],"month":"07","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"01","_id":"8427","page":"277-314","main_file_link":[{"url":"https://arxiv.org/abs/1606.00230","open_access":"1"}],"extern":"1","publication_status":"published","date_updated":"2021-01-12T08:19:12Z","title":"Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle","article_type":"original","doi":"10.4007/annals.2017.186.1.7","article_processing_charge":"No","external_id":{"arxiv":["1606.00230"]},"intvolume":"       186","publisher":"Annals of Mathematics","author":[{"first_name":"Jacopo","full_name":"De Simoi, Jacopo","last_name":"De Simoi"},{"orcid":"0000-0002-6051-2628","full_name":"Kaloshin, Vadim","last_name":"Kaloshin","first_name":"Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425"},{"first_name":"Qiaoling","full_name":"Wei, Qiaoling","last_name":"Wei"}],"abstract":[{"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.","lang":"eng"}],"oa":1,"date_created":"2020-09-17T10:46:42Z","publication_identifier":{"issn":["0003-486X"]},"publication":"Annals of Mathematics","type":"journal_article","volume":186,"date_published":"2017-07-01T00:00:00Z","citation":{"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>","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>.","short":"J. De Simoi, V. Kaloshin, Q. Wei, Annals of Mathematics 186 (2017) 277–314.","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>.","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.","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.","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>"},"year":"2017","issue":"1","status":"public","oa_version":"Preprint"}