4 papers
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 ,…
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 WiÄcek +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…