Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on 𝕋

DOI10.1017/S014338570800103XzbMath1189.37005arXiv0804.3586OpenAlexW2053719596MaRDI QIDQ5188011

Manfred Einsiedler, Alexander Fish

Publication date: 10 March 2010

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3586

Mathematics Subject Classification ID

General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (6)

Fourier coefficients of \(\times p\)-invariant measures ⋮ Kazhdan constants, continuous probability measures with large Fourier coefficients and rigidity sequences ⋮ Strongly independent matrices and rigidity of \(\times A\)-invariant measures on \(n\)-torus ⋮ Counter-examples to an infinitesimal version of the Furstenberg conjecture ⋮ Decomposition of random walk measures on the one-dimensional torus ⋮ On \(C^*\)-algebras of irreversible algebraic dynamical systems

Cites Work

• Invariant measures and stiffness for non-Abelian groups of toral automorphisms
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Unnamed Item

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