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math.DS2024
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 Ï_{a} := Ï- \int…
math.DS2024
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…
math.DS2024
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…