M. Hochman

activity

20062026

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

274 citations · 904 across the 27 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.MG2017

Hausdorff dimension of planar self-affine sets and measures

Balázs Bárány, Michael Hochman, Ariel Rapaport

Let $X = ⋃ φ_{i} X$ be a strongly separated self-affine set in $R^{2}$ (or one satisfying the strong open set condition). Under mild non-compactness and irreducibility ass…

math.DS2017

Smooth symmetries of $\times a$ -invariant sets

Michael Hochman

We study the smooth self-maps $f$ of $\times a$ -invariant sets $X \subseteq [0, 1]$ . Under various assumptions we show that this forces $lo g f^{'} (x) / lo g a \in Q$ at many points…

Hausdorff dimension of planar self-affine sets and measures

Smooth symmetries of ×a-invariant sets

Smooth symmetries of $\times a$ -invariant sets