56 research outputs found

    Amenability of groups and GG-sets

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    This text surveys classical and recent results in the field of amenability of groups, from a combinatorial standpoint. It has served as the support of courses at the University of G\"ottingen and the \'Ecole Normale Sup\'erieure. The goals of the text are (1) to be as self-contained as possible, so as to serve as a good introduction for newcomers to the field; (2) to stress the use of combinatorial tools, in collaboration with functional analysis, probability etc., with discrete groups in focus; (3) to consider from the beginning the more general notion of amenable actions; (4) to describe recent classes of examples, and in particular groups acting on Cantor sets and topological full groups

    The isomorphism theorem for Bernoulli flows

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    Guessing the next output of a stationary process

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    Billiards and Bernoulli schemes

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    Some two dimensional billiards are Bernoulli flows. © 1974 Springer-Verlag

    Every transformation is bilaterally deterministic

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    Unilateral codings of Bernoulli systems

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