274 citations · 904 across the 27 of their papers we have counts for
6 papers · 1 filter
On the finite-dimensional marginals of shift-invariant measures
J. -R. Chazottes, J. -M. Gambaudo, M. Hochman +1
Let be a finite alphabet, equipped with the shift action, and the simplex of shift-invariant measures on . We study the relation between…
Inverses, Powers and Cartesian products of topologically deterministic maps
Michael Hochman, Artur Siemaszko
We show that if (X,T) is a topological dynamical system with is deterministic in the sense of Kamiski, Siemaszko and Szymaski then T^{-1} and the product system need not be determi…
Examples of nonpolygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models
Michael Damron, Michael Hochman
We construct an edge-weight distribution for i.i.d. first-passage percolation on whose limit shape is not a polygon and whose extreme points are arbitrarily dense in…
Geometric rigidity of times-m invariant measures
Michael Hochman
Let b be an integer and mu a probability measure on [0,1] which is invariant and ergodic multiplication by b mod 1, and 0<dim(mu)<1. Let f be a diffeomorphism between open subsets…
Dynamics on fractals and fractal distributions
Michael Hochman
We study fractal measures on Euclidean space through the dynamics of "zooming in" on typical points. The resulting family of measures (the "scenery"), can be interpreted as an orbi…
Isomorphism and embedding of Borel systems on full sets
Michael Hochman
A Borel system consists of a measurable automorphism of a standard Borel space. We consider Borel embeddings and isomorphisms between such systems modulo null sets, i.e. sets which…