Entry Times Distribution for Dynamical Balls on Metric Spaces

• DOI: 10.1007/s10955-017-1745-7
• Publication Date: 2017-03-06T10:59:26Z
• Authors: N. Haydn; F. Yang
• Keywords: 37A25, 37A50, 60F05, 60G10; FOS: Mathematics; Dynamical Systems (math.DS); Mathematics - Dynamical Systems; 0101 mathematics; 01 natural sciences

19 pages<br/>We show that the entry and return times for dynamic balls (Bowen balls) is exponential for systems that have an $��$-mixing invariant measure with certain regularities. We also show that systems modeled by Young's tower has exponential hitting time distribution for dynamical balls<br/>