Strongly independent matrices and rigidity of \(\times A\)-invariant measures on \(n\)-torus

DOI10.1007/S11464-021-0064-0arXiv1908.02611OpenAlexW4317651132MaRDI QIDQ6058279

Hanfeng Li, Huichi Huang, En Hui Shi, Hui Xu

Publication date: 1 November 2023

Published in: Frontiers of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.02611

zbMATH Keywords

ergodicitymixingFourier coefficientmeasure rigiditystrongly independent

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Ergodicity, mixing, rates of mixing (37A25) Polynomials in general fields (irreducibility, etc.) (12E05) Measures on groups and semigroups, etc. (43A05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Relations between ergodic theory and number theory (37A44) Relations between ergodic theory and harmonic analysis (37A46)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On measures simultaneously 2- and 3-invariant
• Fourier coefficients of \(\times p\)-invariant measures
• Measures on the circle invariant under multiplication by a nonlacunary subsemigroup of the integers
• ×2 and ×3 invariant measures and entropy
• Invariant measures for higher-rank hyperbolic abelian actions
• Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on 𝕋
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

This page was built for publication: Strongly independent matrices and rigidity of \(\times A\)-invariant measures on \(n\)-torus