30 citations · 79 across the 34 of their papers we have counts for
35 papers · 1 filter
Dynamical Cantor Staircase Functions and The Small Flow Boundary Property
Tomasz Downarowicz, Yonatan Gutman, Chunlin Liu
The small flow boundary property (SFBP), introduced by Burguet for fixed-point free topological flows, is a non-trivial generalization of the small boundary property (SBP). We char…
On a theorem Dan Rudolph: Part II: Amenable groups
Tomasz Downarowicz, Jean-Paul Thouvenot, Benjamin Weiss
We prove an analog of Rudolph's theorem for actions of countable amenable groups, which asserts that among invariant measures with entropy at least c on the -shift , a…
On preservation of normality and determinism under arithmetic operations
Vitaly Bergelson, Tomasz Downarowicz
In this paper we develop a general ergodic approach which reveals the underpinnings of the effect of arithmetic operations involving normal and deterministic numbers. This allows u…
Universality of G-subshifts with specification
Tomasz Downarowicz, Benjamin Weiss, Mateusz Więcek +1
Let be an infinite countable amenable group and let be a -subshift with specification, containing a free element. We prove that is universal, i.e., has posit…
Lifting generic points
Tomasz Downarowicz, Benjamin Weiss
Let and be two topological dynamical systems, where has the weak specification property. Let be an invariant measure on the product system $(X\times Y,…
Asymptotic pairs in topological actions of amenable groups
Tomasz Downarowicz, Mateusz Więcek
We provide a definition of a -asymptotic pair in a topological action of a countable group , where is an order on of type . We then prove that if $…