For an ergodic pmp action G\curvearrowright (X, μ) G↷(X, μ) of a countable group G, we
define the Rokhlin entropy h^ Rok _G (X, μ) h G Rok (X, μ) to be the infimum of the Shannon …

We continue the study of Rokhlin entropy, an isomorphism invariant for pmp actions of
countable groups introduced in the previous paper. We prove that every free ergodic action …

We define a new notion of weak containment for joinings, and we show that this notion
implies an inequality between relative Rokhlin entropies. This leads to new upper bounds to …

For an ergodic probability-measure-preserving action $ G\curvearrowright (X,\mu) $ of a
countable group $ G $, we define the Rokhlin entropy $ h_G^{\mathrm {Rok}}(X,\mu) $ to be …

We continue our study of the outer Pinsker factor for probability measure-preserving actions
of sofic groups. Using the notion of local and doubly empirical convergence developed by …

We prove that if G is a countably infinite group and (L, λ) and (K, κ) are probability spaces
having equal Shannon entropy, then the Bernoulli shifts G r (LG, λG) and G r (KG, κG) are …

We continue the study of Rokhlin entropy, an isomorphism invariant for probability-measure-
preserving actions of countable groups introduced in the previous paper. We prove that …

We prove that a topologically predictable action of a countable amenable group has zero
topological entropy, as conjectured by Hochman. We investigate invariant random orders …

arxiv:2403.20054v1 [math.DS] 29 Mar 2024 Page 1 arxiv:2403.20054v1 [math.DS] 29 Mar
2024 A note on Sarnak processes Mariusz Lemańczyk, Michał D. Lemańczyk, Thierry de la …

We prove the explicit formula for sofic and Rokhlin entropy of actions arising from some
class of Gibbs measures. It provides a new set of examples with sofic entropy independent …