Michael Hochman

collaborators

4 papers

math.DS2025

A threshold for Poisson behavior of non-stationary product measures

Michael Hochman, NicolÃ² Paviato

Let $I^_{n}^{3} = O (lo g^{- c} n)$ and let $I^½$ be the infinite product measure whose $n$ -th marginal is Bernoulli $(1/2 + I^_{n}^{3})$ . We show that $c = 1/2$ is the threshold, above which $I^½$ -…

math.DS2025

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

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 $I^\pm I^^{2}$ -sets

Michael Hochman

We show that the Feng-Xiong lower bound of $1/2$ for the box dimension of $I^\pm I^^{2}$ -sets is tight. We also study how much of an $I^\pm I^^{2}$ -orbit ``carries the dimension'': deleting an arb…

A threshold for Poisson behavior of non-stationary product measures

Irreducibility and periodicity in Z2 symbolic systems

New results on embeddings of self-similar sets via renormalization

On the dimension of I^±I^2-sets

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

On the dimension of $I^\pm I^^{2}$ -sets