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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Showing 2023Show all

2 papers · 1 filter

math.DS2023

Some remarks about self-products and entropy

Michael Hochman

Let $(X, B, μ, T)$ be a probability-preserving system with $X$ compact and $T$ a homeomorphism. We show that if every point in $X \times X$ is two-sided recurrent, then $h_μ(…

math.DS2023

On the analytic self-maps of Cantor sets in the line

Michael Hochman

We show that a topological Cantor set in the line has at most countably many real-analytic, onto self-maps.