Amir Algom

activity

20162026

most citedSlicing Theorems and rigidity phenomena for self affine carpets

7 citations · 11 across the 20 of their papers we have counts for

collaborators

26 papers

math.DS2026

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…

math.DS2026

Ergodic $\times p$ -invariant measures on $T^{2}$ with no dimension dropping projections

Amir Algom

Fix an integer $p \geq 2$ and $0 < s < 1$ . We construct an ergodic $\times p$ -invariant measure $μ$ on $T^{2}$ of dimension $s$ , such that every line projection preserves dimensio…

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 $C^{\infty}$ 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.CA2025

Uniformly perfect measures on strictly convex planar graphs are $L^{2}$ -flattening

Amir Algom, Tuomas Orponen

Uniformly perfect measures are a common generalisation of Ahlfors regular measures, self-conformal measures on the line, and their push-forwards under sufficiently regular maps. We…

math.CA2025

$L^{2}$ -Flattening of Self-similar Measures on Non-degenerate Curves

Amir Algom, Osama Khalil

Let $μ$ be a non-atomic self-similar measure on $R$ , and let $ν$ be its pushforward to a non-degenerate curve in $R^{d}, d \geq 1$ . We show that for every $ε > 0$ , the…

Absolutely Continuous Convolutions and Projections of Fractal Measures

Ergodic ×p-invariant measures on T2 with no dimension dropping projections

Fourier decay and non-decay for pseudo-affine self-conformal measures

Smooth projections of self-similar measures

Uniformly perfect measures on strictly convex planar graphs are L2-flattening

L2-Flattening of Self-similar Measures on Non-degenerate Curves

Ergodic $\times p$ -invariant measures on $T^{2}$ with no dimension dropping projections

Uniformly perfect measures on strictly convex planar graphs are $L^{2}$ -flattening

$L^{2}$ -Flattening of Self-similar Measures on Non-degenerate Curves