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Advisor(s)
Abstract(s)
We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors with countably many ergodic SRB measures. These measures are robust under small perturbations of the reflection law, and the tables for which they exist form a generic set in the space of all convex polygons. Specific polygonal tables are studied in detail.
Description
Keywords
Polygonal Billiards Contracting Reflection Laws SRB Measures
Pedagogical Context
Citation
Del Magno, Gianluigi … [et al.].(2014). “SRB measures for polygonal billiards with contracting reflection laws”. Communications in Mathematical Physics, Volume 329: pp. 687–723. (Search PDF in 2023)
Publisher
Springer