Generic properties of ergodic automorphisms

2024/07/25 by Ryzhikov, Valery V.
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.18236

Abstract

Typical properties of measure space automorphisms with respect to the Halmos and Alpern-Tikhonov metrics are discussed.

Related

• Ergodicity via continuity
• Generic extensions of ergodic actions
• Pure strictly uniform models of non-ergodic measure automorphisms
• Spectrum of invariant measures via generic points
• Typical infinite mixing automorphisms are rank-one