Michael Hochman

activity

20152025

most citedOn self-similar sets with overlaps and inverse theorems for entropy in

R^{d}

24 citations · 24 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.DS2024

New results on embeddings of self-similar sets via renormalization

Amir Algom, Michael Hochman, Meng Wu

For self-similar sets $X, Y \subseteq R$ , we obtain new results towards the affine embeddings conjecture of Feng-Huang-Rao (2014), and the equivalent weak intersections conj…

math.DS2024

On the dimension of $α β$ -sets

Michael Hochman

We show that the Feng-Xiong lower bound of $1/2$ for the box dimension of $α β$ -sets is tight. We also study how much of an $α β$ -orbit ``carries the dimension'': deleting an arbitar…

math.DS2024

Irreducibility and periodicity in $Z^{2}$ symbolic systems

Michael Hochman

We show that there exist $Z^{2}$ symbolic systems that are strongly irreducible and have no (fully) periodic points

New results on embeddings of self-similar sets via renormalization

On the dimension of αβ-sets

Irreducibility and periodicity in Z2 symbolic systems

On the dimension of $α β$ -sets

Irreducibility and periodicity in $Z^{2}$ symbolic systems