Showing 2026Show all
3 papers · 1 filter
math.DS2026
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…
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.DS2026
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…