274 citations · 904 across the 27 of their papers we have counts for
5 papers · 2 filters
On processes which cannot be distinguished by finitary observation
Yonatan Gutman, Michael Hochman
A function defined on a family of stationary processes is finitely observable if there is a sequence of functions such that in probability…
Upcrossing inequalities for stationary sequences and applications
Michael Hochman
For arrays of random variables that are stationary in an appropriate sense, we show that the fluctuations of the process can…
Genericity in Topological Dynamics
Michael Hochman
We study genericity of dynamical properties in the space of homeomorphisms of the Cantor set and in the space of subshifts of a suitably large shift space. These rather different s…
Return times, recurrence densities and entropy for actions of some discrete amenable groups
Michael Hochman
Results of Wyner and Ziv and of Ornstein and Weiss show that if one observes the first k outputs of a finite-valued ergodic process, then the waiting time until this block appears…
Averaging sequences and abelian rank in amenable groups
Michael Hochman
We investigate the connection between the abelian rank of a countable amenable group and the existence of good averaging sequences (e.g. for the pointwise ergodic theorem). We show…