Book Recurrence in Topological Dynamics (9780306455506) (Book 12801623),
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Recurrence in Topological Dynamics (9780306455506)

  • Elaborates on Hillel Furstenberg's Recurrence in Ergodic Theory and Combinatorial Number Theory (1981) by showing that recurrent points for the dynamical system of a map can be grouped into families according to how frequently their orbits return close to their initial position. Considers such elements of the theory as open families of subsets, the special role of filters and their duals, constructing new families from old ones, the Ellis theory of enveloping semigroups for compact dynamical systems, and the correspondence between Ellis' idempotents and ultrafilters. Of interest to researchers and graduate students working in dynamical systems, theoretical physics, or formal logic. Annotation c. by Book News, Inc., Portland, Or.
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