Quantitative multiple mixing

DOI10.4171/JEMS/949zbMath1442.37042arXiv1701.00945MaRDI QIDQ2178258

Manfred Einsiedler, Michael Björklund, Alexander Gorodnik

Publication date: 7 May 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00945

zbMATH Keywords

higher-order correlationsmultiple mixingactions of adele groupsactions of semisimple groupsconfigurations in discrete subgroups

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Generalized Ramsey theory (05C55) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (18)

Polynomial mixing for time-changes of unipotent flows ⋮ Mixing properties of generalized \(T,T^{-1}\) transformations ⋮ Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ Quantitative multiple pointwise convergence and effective multiple correlations ⋮ Quantitative multiple mixing ⋮ Polynomial 3-mixing for smooth time-changes of horocycle flows ⋮ On the quenched functional CLT in random sceneries ⋮ Volume bound for the canonical lift complement of a random geodesic ⋮ A central limit theorem for counting functions related to symplectic lattices and bounded sets ⋮ Higher Order Correlations for Group Actions ⋮ Central limit theorems for group actions which are exponentially mixing of all orders ⋮ Quantitative equidistribution of horocycle push-forwards of transverse arcs ⋮ Central limit theorem and cohomological equation on homogeneous spaces ⋮ Central limit theorems for Diophantine approximants ⋮ Primitive rational points on expanding horocycles in products of the modular surface with the torus ⋮ Central limit theorems for generic lattice point counting ⋮ Poisson approximation and Weibull asymptotics in the geometry of numbers

Cites Work

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