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

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Showing 2016 · math.DSShow all

2 papers · 2 filters

math.DS2016

Affine embeddings of Cantor sets on the line

Amir Algom

Let $s \in (0, 1)$ , and let $F \subset R$ be a self similar set such that $0 < dim_{H} F \leq s$ . We prove that there exists $δ = δ (s) > 0$ such that if $F$ admits an affine em…

math.DS2016

Self embeddings of Bedford-McMullen carpets

Amir Algom, Michael Hochman

Let $F \subseteq R^{2}$ be a Bedford-McMullen carpet defined by multiplicatively independent exponents, and suppose that either $F$ is not a product set, or it is a product…