[{"publication":"Israel Journal of Mathematics","dc":{"creator":["Akopyan, Arseniy","Balitskiy, Alexey"],"language":["eng"],"rights":["info:eu-repo/semantics/openAccess"],"title":["Billiards in convex bodies with acute angles"],"description":["In this paper we investigate the existence of closed billiard trajectories in not necessarily smooth convex bodies. In particular, we show that if a body K ⊂ Rd has the property that the tangent cone of every non-smooth point q ∉ ∂K is acute (in a certain sense), then there is a closed billiard trajectory in K."],"identifier":["https://research-explorer.ista.ac.at/record/1330"],"source":["Akopyan A, Balitskiy A. Billiards in convex bodies with acute angles. Israel Journal of Mathematics. 2016;216(2):833-845. doi:10.1007/s11856-016-1429-z"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/s11856-016-1429-z","info:eu-repo/grantAgreement/EC/FP7/291734"],"publisher":["Springer"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"date":["2016"]},"day":"15","date_created":"2018-12-11T11:51:24Z","date_published":"2016-10-15T00:00:00Z","uri_base":"https://research-explorer.ista.ac.at","page":"833 - 845","acknowledgement":"Supported by People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement n°[291734]. Supported by the Russian Foundation for Basic Research grant 15-31-20403 (mol a ved), by the Russian Foundation for Basic Research grant 15-01-99563 A, in part by the Moebius Contest Foundation for Young Scientists, and in part by the Simons Foundation.","oa":1,"quality_controlled":"1","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"A. Akopyan and A. Balitskiy, “Billiards in convex bodies with acute angles,” Israel Journal of Mathematics, vol. 216, no. 2. Springer, pp. 833–845, 2016.","short":"A. Akopyan, A. Balitskiy, Israel Journal of Mathematics 216 (2016) 833–845.","apa":"Akopyan, A., & Balitskiy, A. (2016). Billiards in convex bodies with acute angles. Israel Journal of Mathematics. Springer. https://doi.org/10.1007/s11856-016-1429-z","mla":"Akopyan, Arseniy, and Alexey Balitskiy. “Billiards in Convex Bodies with Acute Angles.” Israel Journal of Mathematics, vol. 216, no. 2, Springer, 2016, pp. 833–45, doi:10.1007/s11856-016-1429-z.","ista":"Akopyan A, Balitskiy A. 2016. Billiards in convex bodies with acute angles. Israel Journal of Mathematics. 216(2), 833–845.","chicago":"Akopyan, Arseniy, and Alexey Balitskiy. “Billiards in Convex Bodies with Acute Angles.” Israel Journal of Mathematics. Springer, 2016. https://doi.org/10.1007/s11856-016-1429-z."},"dini_type":"doc-type:article","publist_id":"5938","author":[{"orcid":"0000-0002-2548-617X","last_name":"Akopyan","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","first_name":"Arseniy"},{"last_name":"Balitskiy","first_name":"Alexey"}],"project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme"}],"language":[{}],"publication_status":"published","ec_funded":1,"issue":"2","volume":216,"oa_version":"Preprint","abstract":[{"lang":"eng"}],"intvolume":" 216","month":"10","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1506.06014"}],"scopus_import":1,"creator":{"id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","login":"kschuh"},"date_updated":"2021-01-12T06:49:56Z","department":[{"_id":"HeEd","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"_id":"1330","status":"public","type":"journal_article"}]