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Titlebook: Geometric and Ergodic Aspects of Group Actions; S. G. Dani,Anish Ghosh Book 2019 Springer Nature Singapore Pte Ltd. 2019 Ergodic Theory.Ho

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International Capital Movements,g from group actions. In particular, we present a self-contained proof of quantitative bounds for higher order correlations of actions of simple Lie groups. We also outline several applications of our analysis of correlations that include asymptotic formulas for counting lattice points, existence of
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https://doi.org/10.1007/978-981-15-0683-3Ergodic Theory; Homogeneous Flows; Exponential Mixing; Central Limit Theorem; Horocycle Flows; Hyperbolic
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Horocycle Flows on Surfaces with Infinite Genus,es are all infinite. We explain the relation between these measures and the positive eigenfunctions of the Laplacian on the surface. In the special case of .-covers of compact hyperbolic surfaces, we also describe some of their ergodic properties, paying special attention to equidistribution and to
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Higher Order Correlations for Group Actions,g from group actions. In particular, we present a self-contained proof of quantitative bounds for higher order correlations of actions of simple Lie groups. We also outline several applications of our analysis of correlations that include asymptotic formulas for counting lattice points, existence of
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Higher Order Correlations for Group Actions,roups. We also outline several applications of our analysis of correlations that include asymptotic formulas for counting lattice points, existence of approximate configurations in lattice subgroups, and validity of the Central Limit Theorem for multiparameter group actions.
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Book 2019a, in 2018. Written by eminent scientists, and providing clear, detailed accounts of various topics at the interface of ergodic theory, the theory of homogeneous dynamics, and the geometry of hyperbolic surfaces, the book is a valuable resource for researchers and advanced graduate students in mathematics..
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2363-6149 .Facilitates the learning of topics through adequate clarifi.This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop “Geometric and Ergodic Aspects of Group Actions,” organized
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International Capital Movements,roups. We also outline several applications of our analysis of correlations that include asymptotic formulas for counting lattice points, existence of approximate configurations in lattice subgroups, and validity of the Central Limit Theorem for multiparameter group actions.
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