42 citations · 201 across the 49 of their papers we have counts for
4 papers · 1 filter
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 \infty…
Spectral gaps and Fourier decay for self-conformal measures in the plane
Amir Algom, Federico Rodriguez Hertz, Zhiren Wang
Let be a self-conformal IFS on the plane, satisfying some mild non-linearity and irreducibility conditions. We prove a uniform spectral gap estimate for the t…
Boundary actions by higher-rank lattices: Classification and embedding in low dimensions, local rigidity, smooth factors
Aaron Brown, Federico Rodriguez Hertz, Zhiren Wang
We study actions by lattices in higher-rank (semi)simple Lie groups on compact manifolds. By classifying certain measures invariant under a related higher-rank abelian action (the…
Normal forms for contracting dynamics, revisited
Aaron Brown, Alex Eskin, Simion Filip +1
We revisit the theory of normal forms for non-uniformly contracting dynamics. We collect a number of lemmas and reformulations of the standard theory that will be used in other pro…