Michael Hochman

On self-similar sets with overlaps and inverse theorems for entropy

We study self-similar sets and measures on

A characterization of the entropies of multidimensional shifts of finite type

\mathbb{R}^{d}

Equidistribution from fractal measures

. Assuming that the defining iterated function system

Genericity in topological dynamics

\Phi

A ratio ergodic theorem for multiparameter non-singular actions

does not preserve a proper affine subspace, we show that one of the following holds: (1) the dimension is equal to the trivial bound (the minimum of

On the automorphism groups of multidimensional shifts of finite type

d

Some Problems on the Boundary of Fractal Geometry and Additive Combinatorics

and the similarity dimension

On notions of determinism in topological dynamics

s

On the dimension of Furstenberg measure for

); (2) for all large

SL_2(R)

n