Abstract
We prove exact formulas for measure theoretic entropy of plane billiards systems with absolutely-focusing boundaries with non-vanishing Lyapunov exponents. In particular, our formulas hold for the billiards introduced by Wojtkowski, Markarian, Donnay and Bunimovich. As an illustration, we calculate the entropy of a “perturbation” of the boundary of a polygon by absolutely focusing “ripples”.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.