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JOURNALS // Trudy Moskovskogo Matematicheskogo Obshchestva // Archive

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

This article is cited in 1 paper

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



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