8 citations · 9 across the 3 of their papers we have counts for
8 papers
Dense times-b orbits from times-a invariant sets and measures, in zero entropy
Michael Hochman
Let be multiplicatively independent integers. We prove that if is a zero-entropy non-atomic -invariant measure on , then -a.e.~ has dense $\times b…
A short proof of Host's equidistribution theorem
Michael Hochman
This note contains a new proof of Host's equidistribution theorem for multiplicatively independent endomorphisms of . The method is a simplified version of o…
Hausdorff Dimension of Planar Self-Affine Sets and Measures with Overlaps
Michael Hochman, Ariel Rapaport
We prove that if is a self-affine measure in the plane whose defining IFS acts totally irreducibly on and satisfies an exponential separation condition, then it…
Hausdorff dimension of planar self-affine sets and measures
Balázs Bárány, Michael Hochman, Ariel Rapaport
Let be a strongly separated self-affine set in (or one satisfying the strong open set condition). Under mild non-compactness and irreducibility ass…
Smooth symmetries of -invariant sets
Michael Hochman
We study the smooth self-maps of -invariant sets . Under various assumptions we show that this forces at many points…
On the dimension of Furstenberg measure for random matrix products
Michael Hochman, Boris Solomyak
Let be a measure on generating a non-compact and totally irreducible subgroup, let denote its Lyapunov exponent, and let be the associated statio…