77 citations · 223 across the 63 of their papers we have counts for
5 papers · 1 filter
Stationary dynamical systems
Hillel Furstenberg, Eli Glasner
Following works of Furstenberg and Nevo and Zimmer we present an outline of a theory of stationary (or m-stationary) dynamical systems for a general acting group G equipped with a…
On two recurrence problems
Michael Boshernitzan, Eli Glasner
We review some aspects of recurrence in topological dynamics and focus on two open problems. The first is an old one concerning the relation between Poincare and Birkhoff recurrenc…
The group $\Aut(μ)$ is Roelcke precompact
Eli Glasner
Following a similar result of Uspenskij on the unitary group of a separable Hilbert space we show that with respect to the lower (or Roelcke) uniform structure the Polish group $G=…
Sufficient conditions under which a transitive system is chaotic
E. Akin, E. Glasner, W. Huang +2
Let (X,T) be a topologically transitive dynamical system. We show that if there is a subsystem (Y,T) of (X,T) such that (X\times Y, T\times T) is transitive, then (X,T) is strongly…
A topological lens for a measure-preserving system
Eli Glasner, Mariusz Lemanczyk, Benjamin Weiss
We introduce a functor which associates to every measure preserving system (X,B,μ,T) a topological system (C_2(μ),\tilde{T}) defined on the space of 2-fold couplings of μ, called t…