Entropy of convolutions on the circle

DOI10.2307/121075zbMath0940.28015arXivmath/9905213OpenAlexW2083677343MaRDI QIDQ1306681

Yuval Peres, David Meiri, Elon Lindenstrauss

Publication date: 4 May 2000

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9905213

zbMATH Keywords

joiningergodic measuresentropy for convolutionsFurstenberg's conjecture

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

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A formula for the entropy of the convolution of Gibbs probabilities on the circle ⋮ Local entropy averages and projections of fractal measures ⋮ Sum-product phenomena: \(\mathfrak{P}\)-adic case ⋮ A simultaneous version of Host’s equidistribution Theorem ⋮ \(p\)-adic foliation and equidistribution ⋮ Rigidity properties of ℤ^{𝕕}-actions on tori and solenoids ⋮ Actions of diagonal endomorphisms on conformally invariant measures on the 2-torus ⋮ Entropy and uniform distribution of orbits in \(\mathbb{T}^d\) ⋮ Nonequilibrium in thermodynamic formalism: the second law, gases and information geometry ⋮ Dimension growth for iterated sumsets ⋮ Rigidity properties for commuting automorphisms on tori and solenoids ⋮ Rigidity of multiparameter actions

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