3 papers
math.DS2026
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…
math.DS2025
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…
math.DS2024
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…