Amir Algom

activity

20182026

most citedImproved versions of some Furstenberg type slicing Theorems for self-affine carpets

1 citations · 1 across the 12 of their papers we have counts for

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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…

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

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