3 papers
math.DS2023
Lyapunov exponents and nonadapted measures for dispersing billiards
Vaughn Climenhaga, Mark Demers, Yuri Lima +1
For hyperbolic systems with singularities, such as dispersing billiards, Pesin theory as developed by Katok and Strelcyn applies to measures that are "adapted" in the sense that th…
math.DS2023
Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows
Jérôme Buzzi, Sylvain Crovisier, Yuri Lima
We construct symbolic dynamics for three dimensional flows with positive speed. More precisely, for each , we code a set of full measure for every invariant probability measur…
math.DS2023
Examples of sets with irregular projection of Hausdorff measures
Yuri Lima, Carlos Gustavo Moreira
Given positive integers and a real , we construct sets with positive and finite Hausdorff measure such that the Radon-Nikodym der…