Spectral theory of dynamical systems

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arxiv 2006.11616 v1 pith:I6VC4PGC submitted 2020-06-20 math.DS

Adam Kanigowski , Mariusz Lemańczyk This is my paper · ORCID

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This is a survey on spectral theory of dynamical systems.

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Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question
math.DS 2026-07 accept novelty 7.0 of 10

Free ergodic amenable actions with positive Rokhlin entropy have infinite complex L1- and L10-orbit multiplicity, so no finite family of functions has dense Koopman orbit span.