Return times distribution of expanding maps
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2025.2587300
Abstract: We consider expanding systems with invariant measures that are uniformly expanding everywhere except on a small measure set and show that the limiting statistics of hitting times for zero measure sets are compound Poisson provided… read more here.
Keywords: expanding maps; distribution expanding; measure; zero measure ... See more keywords
Elliptic islands and zero measure escaping orbit in a class of outer billiards
Sign Up to like & getrecommendations! Published in 2025 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2025115
Abstract: We study outer billiard systems around a class of circular sectors. For semi-discs, we prove the existence of elliptic islands occupying a positive proportion of the plane. Combined with known results, this shows the coexistence… read more here.
Keywords: elliptic islands; class; islands zero; zero measure ... See more keywords