23 citations · 26 across the 3 of their papers we have counts for
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.DS2016★ 23 cited
The geometric approach for constructing Sinai-Ruelle-Bowen measures
Vaughn Climenhaga, Stefano Luzzatto, Yakov Pesin
An important class of `physically relevant' measures for dynamical systems with hyperbolic behavior is given by Sinai-Ruelle-Bowen (SRB) measures. We survey various techniques for…
math.DS2010★ 3 cited
Multifractal formalism derived from thermodynamics
Vaughn Climenhaga
We show that under quite general conditions, various multifractal spectra may be obtained as Legendre transforms of functions $T\colon \RR\to \RR$ arising in the thermodynamic form…