42 citations · 201 across the 49 of their papers we have counts for
54 papers · 1 filter
Absolute continuity of invariant measures for random diffeomorphisms
Aaron Brown, Alex Eskin, Simion Filip +1
We develop criteria showing that invariant measures for random walks generated by diffeomorphisms of manifolds are in the Lebesgue class. Our assumptions are first, that there is a…
Absolutely Continuous Convolutions and Projections of Fractal Measures
Amir Algom, Federico Rodriguez Hertz, Zhiren Wang
We develop a general criterion for establishing absolute continuity of convolutions of fractal measures on the line, and more generally of prescribed line projections of fractal me…
Symplecto-rigidity and bootstrap for Anosov symplectomorphisms and contact Anosov flows
Andrey Gogolev, Federico Rodriguez Hertz
This paper is a sequel to the authors' paper on rigidity of higher dimensional contact Anosov flows~[GRH]. At the time the authors were unaware of much earlier work of Hamenstädt~[…
Entropy and semiconjugacy on surfaces
Pablo D. Carrasco, Federico Rodriguez Hertz, Jana Rodriguez Hertz +1
Let be a diffeomorphism in the isotopy class of a pseudo-Anosov homeomorphism such that and have the same topological entropy. In 1988, Handel proved tha…
Fourier decay and non-decay for pseudo-affine self-conformal measures
Amir Algom, Snir Ben Ovadia, Federico Rodriguez Hertz +1
We study the sharpness of recent sufficient conditions for polynomial Fourier decay of self conformal measures on the line. First, we construct a iterated function syste…
Smooth projections of self-similar measures
Amir Algom, Federico Rodriguez Hertz, Zhiren Wang
We prove a Furstenberg-type criterion for a given orthogonal projection of a self-similar measure to be absolutely continuous, with quantified regularity. It requires exponential m…