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 2016Show all

3 papers · 1 filter

math.DS2016★ 31 cited

On the dimension of Furstenberg measure for $S L_{2} (R)$ random matrix products

Michael Hochman, Boris Solomyak

Let $μ$ be a measure on $S L_{2} (R)$ generating a non-compact and totally irreducible subgroup, let $χ > 0$ denote its Lyapunov exponent, and let $ν$ be the associated statio…

math.DS2016

Some problems on the boundary of fractal geometry and additive combinatorics

Michael Hochman

This paper is an exposition, with some new applications, of our results on the growth of entropy of convolutions. We explain the main result on $R$ , and derive, via a line…

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…

On the dimension of Furstenberg measure for SL2​(R) random matrix products

Some problems on the boundary of fractal geometry and additive combinatorics

Self embeddings of Bedford-McMullen carpets

On the dimension of Furstenberg measure for $S L_{2} (R)$ random matrix products