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JOURNALS // Trudy Moskovskogo Matematicheskogo Obshchestva // Archive

Tr. Mosk. Mat. Obs., 2024 Volume 85, Issue 1, Pages 59–69 (Mi mmo693)

Generic properties of ergodic automorphisms

V. V. Ryzhikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Typical properties of measure space automorphisms with respect to the Halmos and Alpern–Tikhonov metrics are discussed. References: 37 entries.

Key words and phrases: automorphisms of measure spaces, mixing, metrics on groups, Baire categories, generic invariants.

UDC: 517.98

MSC: 28D05, 37A05

Received: 11.09.2024

Language: English



© Steklov Math. Inst. of RAS, 2025