Titlebook: Ergodic Theory; Independence and Dic David Kerr,Hanfeng Li Book 2016 Springer International Publishing AG 2016 Ergodic Theory.Topological D

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Property (T)e replace this notion of compactness by a perturbative version that merely requires the existence of nonzero finite-dimensional subspaces which are . invariant, then the rigid dichotomy between weak mixing and compactness in Theorem . gives way to a more flexible situation in which both properties c

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Topological Dynamicsivalence between indecomposability and transitivity expressed in Proposition . fails in the topological framework, an observation which launches our discussion of minimality, topological transitivity and recurrence in Section . (compare Section .). Nevertheless, one can still establish a structure t

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1439-7382 ent research interest, including Popa‘s cocycle superrigiditThis book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of th