Exponential mixing of nilmanifold automorphisms

DOI10.1007/s11854-014-0024-7zbMath1312.37007arXiv1210.2271OpenAlexW2593939617MaRDI QIDQ464299

Ralf J. Spatzier, Alexander Gorodnik

Publication date: 17 October 2014

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2271

zbMATH Keywords

invariance principlescentral limit theoremnilmanifoldscohomological equationexponential mixingtoral automorphism

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodicity, mixing, rates of mixing (37A25) Discrete subgroups of Lie groups (22E40)

Related Items (18)

Bernoulli property for certain skew products over hyperbolic systems ⋮ Decay of correlations for certain isometric extensions of Anosov flows ⋮ Exponential mixing and smooth classification of commuting expanding maps ⋮ Effective equidistribution for generalized higher-step nilflows ⋮ Mixing properties of generalized \(T,T^{-1}\) transformations ⋮ Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Limit theorems for higher rank actions on Heisenberg nilmanifolds ⋮ Exponential multiple mixing for some partially hyperbolic flows on products of \(\mathrm{PSL}(2, \mathbb{R})\) ⋮ Quantitative multiple pointwise convergence and effective multiple correlations ⋮ Mixing properties of commuting nilmanifold automorphisms ⋮ Center foliation rigidity for partially hyperbolic toral diffeomorphisms ⋮ On the quantitative distribution of polynomial nilsequences -- erratum ⋮ Higher Order Correlations for Group Actions ⋮ Central limit theorems for group actions which are exponentially mixing of all orders ⋮ Global rigidity of higher rank Anosov actions on tori and nilmanifolds ⋮ Central limit theorem and cohomological equation on homogeneous spaces ⋮ Equilibrium measures of meromorphic self-maps on non-Kähler manifolds ⋮ Exponential mixing of frame flows for convex cocompact hyperbolic manifolds

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