42 citations · 201 across the 49 of their papers we have counts for
54 papers
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…
Smooth rigidity for 3-dimensional dissipative Anosov flows
Andrey Gogolev, Martin Leguil, Federico Rodriguez Hertz
We consider two transitive -dimensional Anosov flows which do not preserve volume and which are continuously conjugate to each other. Then, disregarding certain exceptional case…