Add to ORKGWe generalize Berg's notion of quasi-disjointness to actions of countable groups and prove that every measurably distal system is quasi-disjoint from every measure preserving system. As a corollary we obtain easy to check necessary and sufficient conditions for two systems to be disjoint, provided one of them is measurably distal. We also obtain a Wiener--Wintner type theorem for countable amenable groups with distal weights and applications to weighted multiple ergodic averages and multiple recurrence.Comment: 28 page
We study a positive-definite function associated with a countable, measure-preserving equivalence re...
We give a functional characterization of a class of quasi-invariant determinantal processes correspo...
We study a positive-definite function associated with a countable, measure-preserving equivalence re...
We generalize Berg’s notion of quasi-disjointness to actions of countable groups and prove that ever...
Two measure preserving dynamical systems are weakly disjoint if some pointwise convergence property ...
Two measure preserving dynamical systems are weakly disjoint if some pointwise convergence property ...
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed ...
In this note we study countable subgroups of the full group of a measure preserving equivalence rela...
Two measure preserving dynamical systems are weakly disjoint if some pointwise convergence property ...
15 pagesWe show that ergodic dynamical systems generated by infinitely divisible stationary processe...
We establish two ergodic theorems which have among their corollaries numerous classical results from...
For an infinite discrete group $G$ acting on a compact metric space $X$, we introduce several weak v...
For an infinite discrete group $G$ acting on a compact metric space $X$, we introduce several weak v...
This thesis is a contribution to the theory of measurable actions of discrete groups on standard pro...
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relati...
We study a positive-definite function associated with a countable, measure-preserving equivalence re...
We give a functional characterization of a class of quasi-invariant determinantal processes correspo...
We study a positive-definite function associated with a countable, measure-preserving equivalence re...
We generalize Berg’s notion of quasi-disjointness to actions of countable groups and prove that ever...
Two measure preserving dynamical systems are weakly disjoint if some pointwise convergence property ...
Two measure preserving dynamical systems are weakly disjoint if some pointwise convergence property ...
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed ...
In this note we study countable subgroups of the full group of a measure preserving equivalence rela...
Two measure preserving dynamical systems are weakly disjoint if some pointwise convergence property ...
15 pagesWe show that ergodic dynamical systems generated by infinitely divisible stationary processe...
We establish two ergodic theorems which have among their corollaries numerous classical results from...
For an infinite discrete group $G$ acting on a compact metric space $X$, we introduce several weak v...
For an infinite discrete group $G$ acting on a compact metric space $X$, we introduce several weak v...
This thesis is a contribution to the theory of measurable actions of discrete groups on standard pro...
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relati...
We study a positive-definite function associated with a countable, measure-preserving equivalence re...
We give a functional characterization of a class of quasi-invariant determinantal processes correspo...
We study a positive-definite function associated with a countable, measure-preserving equivalence re...