TY - JOUR
T1 - Bounds for Minkowski Billiard trajectories in convex bodies
AU - Artstein-Avidan, Shiri
AU - Ostrover, Yaron
N1 - Funding Information:
This article was partially supported by ISF grant No. 247/11 (to S.A.-A.) and by a Reintegration Grant SSGHD-268274 within the 7th European community framework programme, and by the ISF grant No. 1057/10 (to Y.O.) and also by BSF grant number 2006079 (to S.A.-A. and Y.O.).
PY - 2014/1/1
Y1 - 2014/1/1
N2 - In this paper, we use the Ekeland-Hofer-Zehnder symplectic capacity to provide several bounds and inequalities for the length of the shortest periodic billiard trajectory in a smooth convex body in Rn. Our results hold both for classical billiards, as well as for the more general case of Minkowski billiards.
AB - In this paper, we use the Ekeland-Hofer-Zehnder symplectic capacity to provide several bounds and inequalities for the length of the shortest periodic billiard trajectory in a smooth convex body in Rn. Our results hold both for classical billiards, as well as for the more general case of Minkowski billiards.
UR - http://www.scopus.com/inward/record.url?scp=84891679429&partnerID=8YFLogxK
U2 - 10.1093/imrn/rns216
DO - 10.1093/imrn/rns216
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AN - SCOPUS:84891679429
SN - 1073-7928
VL - 2014
SP - 165
EP - 193
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 1
ER -