Measures on the circle invariant under multiplication by a nonlacunary subsemigroup of the integers
From MaRDI portal
Publication:1802338
DOI10.1007/BF02808018zbMath0790.28012MaRDI QIDQ1802338
Publication date: 21 July 1993
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
General groups of measure-preserving transformations (28D15) Entropy and other invariants (28D20) Ergodic theory (37A99)
Related Items (31)
Fourier coefficients of \(\times p\)-invariant measures ⋮ Informal research statement ⋮ Normal numbers, entropy, translations ⋮ Multi-invariant measures and subsets on nilmanifolds ⋮ Equidistribution from fractal measures ⋮ Free ergodic ℤ²-systems and complexity ⋮ Strongly independent matrices and rigidity of \(\times A\)-invariant measures on \(n\)-torus ⋮ On amenability and measure of maximal entropy for semigroups of rational maps: II ⋮ On Furstenberg's Diophantine result ⋮ Local entropy averages and projections of fractal measures ⋮ Counter-examples to an infinitesimal version of the Furstenberg conjecture ⋮ Polynomial actions in positive characteristic ⋮ Invariant measures for higher-rank hyperbolic abelian actions ⋮ Sum-product phenomena: \(\mathfrak{P}\)-adic case ⋮ Convergence of measures under diagonal actions on homogeneous spaces ⋮ A simultaneous version of Host’s equidistribution Theorem ⋮ Generalizations of Furstenberg’s Diophantine result ⋮ \(p\)-adic foliation and equidistribution ⋮ On the Normality of Arithmetical Constants ⋮ Geometric rigidity of \(\times m\) invariant measures ⋮ Rigidity properties of ℤ^{𝕕}-actions on tori and solenoids ⋮ Decomposition of random walk measures on the one-dimensional torus ⋮ Actions of diagonal endomorphisms on conformally invariant measures on the 2-torus ⋮ A generalization of a result of R. Lyons about measures on \([0,1)\) ⋮ Entropy and uniform distribution of orbits in \(\mathbb{T}^d\) ⋮ Some effective results for ×a×b ⋮ A proof of Furstenberg's conjecture on the intersections of \(\times p\)- and \(\times q\)-invariant sets ⋮ On measures invariant under tori on quotients of semisimple groups ⋮ Rigidity properties for commuting automorphisms on tori and solenoids ⋮ Rigidity of multiparameter actions ⋮ Rigidity of measures -- the high entropy case and non-commuting foliations
Cites Work
This page was built for publication: Measures on the circle invariant under multiplication by a nonlacunary subsemigroup of the integers
