Ergodic Theory: Nonsingular Transformations Page 1 Ergodic Theory: Nonsingular
Transformations Alexandre I. Danilenko1 and Cesar E. Silva2 1B.Verkin Institute for Low …

We answer positively a question of Ryzhikov, namely we show that being a relatively weakly
mixing extension is a comeager property in the Polish group of measure preserving …

This is a survey of a recent progress related to the (C, F)-construction of funny rank-one
actions for locally compact groups. We exhibit a variety of examples and counterexamples …

New sets of spectral multiplicities of ergodic automorphisms of a probability space are
proposed. Realizations have been obtained, inter alia, for the sets of multiplicities, and so …

arxiv:1902.02421v2 [math.DS] 17 Feb 2021 Page 1 arxiv:1902.02421v2 [math.DS] 17 Feb
2021 A PRIME SYSTEM WITH MANY SELF-JOININGS JON CHAIKA AND BRYNA KRA …

Let G be a countable direct sum of finite groups. We construct an uncountable family of
pairwise disjoint mixing (of any order) rank-one strictly ergodic free actions of G on a Cantor …

Answering a question of A. Vershik we construct two non‐weakly isomorphic ergodic
automorphisms for which the associated unitary (Koopman) representations are Markov …

We prove that any countable non-amenable group admits a free, minimal, amenable, purely
infinite action on the non-compact Cantor set. This answers a question of Kellerhals, Monod …

Let H 3 (ℝ) be the 3-dimensional real Heisenberg group. Given a family of lattices Γ 1⊃ Γ
2⊃…⊂ H 3 (ℝ), let T be the associated uniquely ergodic H 3 (ℝ)-odometer, ie, the inverse …

CUT-AND-STACK SIMPLE WEAKLY MIXING MAP WITH COUNTABLY MANY PRIME
FACTORS 0. Introduction Let T be an (invertible) transformation Page 1 PROCEEDINGS OF …