Pablo Shmerkin

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20042025

most citedLocal entropy averages and projections of fractal measures

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

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math.PR2025

The largest slice of fractal percolation

Pablo Shmerkin, Ville Suomala

For each $k \geq 3$ , we determine the dimensional threshold for planar fractal percolation to contain $k$ collinear points. In the critical case of dimension $1$ , the largest linear…

math.PR2017

Patterns in Random Fractals

Pablo Shmerkin, Ville Suomala

We characterize the existence of certain geometric configurations in the fractal percolation limit set $A$ in terms of the almost sure dimension of $A$ . Some examples of the config…