75 citations · 490 across the 32 of their papers we have counts for
33 papers
Thermodynamic formalism for piecewise expanding maps in finite dimension
Viviane Baladi, Roberto Castorrini
We study weighted transfer operators associated to a piecewise expanding map on a compact manifold, and a piecewise Holder weight, acting on Sobolev spaces. We bound the essential…
A parameter ASIP for the quadratic family
Magnus Aspenberg, Viviane Baladi, Tomas Persson
Consider the quadratic family , for and mixing Collet--Eckmann (CE) parameters . For bounded , set $\tilde φ_{a} := φ- \int φ\,…
Measure of maximal entropy for finite horizon Sinai billiard flows
Viviane Baladi, Jérôme Carrand, Mark Demers
Using recent work of Carrand on equilibrium states for the billiard map, and bootstrapping via a "leapfrogging" method from a previous article of Baladi and Demers, we construct th…
Thermodynamic formalism for dispersing billiards
Viviane Baladi, Mark Demers
For any finite horizon Sinai billiard map T on the two-torus, we find t_*>1 such that for each t in (0,t_*) there exists a unique equilibrium state for , and $μ…
Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters
Viviane Baladi, Daniel Smania
For the quadratic family, we define the two-variable ( and ) fractional susceptibility function associated to a C^1 observable at a stochastic map. We also define an approxim…
There are no deviations for the ergodic averages of the Giulietti-Liverani horocycle flows on the two-torus
Viviane Baladi
We show that the ergodic averages for the horocycle flow on the two-torus associated by Giulietti and Liverani to an Anosov diffeomorphism either grow linearly or are bounded, in o…