Multifractal analysis of some multiple ergodic averages

DOI10.1016/J.AIM.2016.03.012zbMath1358.37016arXiv1212.2764OpenAlexW2082229714MaRDI QIDQ271736

Jörg Schmeling, Meng Wu, Ai-Hua Fan

Publication date: 20 April 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2764

zbMATH Keywords

Hausdorff dimensionmultifractalmultiple ergodic averageRuelle type formulatelescopic product measure

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dimension theory of smooth dynamical systems (37C45)

Related Items (10)

Topologically mixing properties of multiplicative integer systems ⋮ On the entropy of multidimensional multiplicative integer subshifts ⋮ Boundary complexity and surface entropy of 2-multiplicative integer systems on Nd ⋮ The entropy of multiplicative subshifts on trees ⋮ Large deviation principle of nonconventional ergodic averages ⋮ Multifractal analysis of weighted ergodic averages ⋮ Normal sequences with given limits of multiple ergodic averages ⋮ Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems ⋮ A nonlinear transfer operator theorem ⋮ Large deviation principle of multidimensional multiple averages on \(\mathbb{N}^d\)

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