79 citations · 484 across the 27 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.DS2023
Gibbs measures have local product structure
Vaughn Climenhaga
It is well-known that equilibrium measures for uniformly hyperbolic dynamical systems have a local product structure, which plays an important role in their mixing properties. Exis…
math.DS2023★ 1 cited
Equilibrium measures for two-sided shift spaces via dimension theory
Vaughn Climenhaga, Jason Day
Given a two-sided shift space on a finite alphabet and a continuous potential function, we give conditions under which an equilibrium measure can be described using a construction…
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…