Generic properties of ergodic automorphisms
Valery V. Ryzhikov
TL;DR
This paper explores the common characteristics of ergodic automorphisms on measure spaces, focusing on their behavior under specific metrics, and provides insights into their typical properties.
Contribution
It analyzes the generic properties of ergodic automorphisms with respect to Halmos and Alpern-Tikhonov metrics, highlighting their typical behaviors.
Findings
Characterization of typical ergodic automorphisms
Properties under Halmos metric
Properties under Alpern-Tikhonov metric
Abstract
Typical properties of measure space automorphisms with respect to the Halmos and Alpern-Tikhonov metrics are discussed.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Mathematical Control Systems and Analysis