researcher

Pablo Shmerkin

69 papers hereh-index 262k citations84 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position

sole author18
first author14
middle author9
last author28

Across the 69 of 69 papers where every author was matched, so the position is known.

fields

math.CA45
math.DS20
math.MG2
math.PR2

same name

Pablo Shmerkin — 2 papers, h 2

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity

20042025

most citedLocal entropy averages and projections of fractal measures

92 citations · 502 across the 56 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.CA2024

Dynamical self-similarity, $L^{q}$ -dimensions and Furstenberg slicing in $R^{d}$

Emilio Corso, Pablo Shmerkin

We extend a theorem of the second author on the $L^{q}$ -dimensions of dynamically driven self-similar measures from the real line to arbitrary dimension. Our approach provides a nove…

math.DS2024

On the dimension of orthogonal projections of self-similar measures

Amir Algom, Pablo Shmerkin

Let $ν$ be a self similar measure on $R^{d}$ , $d \geq 2$ , and let $π$ be an orthogonal projection onto a $k$ -dimensional subspace. We formulate a criterion on the action of t…

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Data

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Dynamical self-similarity, Lq-dimensions and Furstenberg slicing in Rd

On the dimension of orthogonal projections of self-similar measures

Dynamical self-similarity, $L^{q}$ -dimensions and Furstenberg slicing in $R^{d}$