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.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…

math.DS2025

Recent progress on pointwise normality of self-similar measures

Amir Algom

This article is an exposition of recent results and methods on the prevalence of normal numbers in the support of self-similar measures on the line. We also provide an essentially…

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

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

Recent progress on pointwise normality of self-similar measures

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

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