6 papers
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…
How linear can a non-linear hyperbolic IFS be?
Amir Algom, Snir Ben Ovadia, Federico Rodriguez Hertz +1
Motivated by a question of M. Hochman, we construct examples of hyperbolic IFSs on where linear and non-linear behaviour coexist. Namely, for every $2\leq r \leq \inft…
Generalized -Gibbs measures for diffeomorphisms
Snir Ben Ovadia, David Burguet
We show that for every diffeomorphism of a closed Riemannian manifold, if there exists a positive volume set of points which admit some expansion with a positive Lyapuno…
Thermodynamic Formalism Out of Equilibrium, and Gibbs Processes
Snir Ben Ovadia, Federico Rodriguez-Hertz
We study the thermodynamic formalism of systems where the potential depends randomly on an exterior system. We define the {\em pressure out of equilibrium} for such a family of pot…
Mixed quantization and partial hyperbolicity
Snir Ben Ovadia, Qiaochu Ma, Federico Rodriguez-Hertz
We establish stable quantum ergodicity for spin Hamiltonians, also known as Pauli-Schrödinger operators. Our approach combines new analytic techniques of mixed quantization, inspi…
Dimension of equilibrium measures for complex maps
Snir Ben Ovadia, Yan Mary He
For certain families of complex maps, we give a formula for the Hausdorff dimension of the equilibrium measure. In particular, given an endomorphism of o…