By David Kerr, Hanfeng Li
This ebook offers an creation to the ergodic thought and topological dynamics of activities of countable groups. It is prepared round the topic of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its entire treatment of the center techniques of vulnerable blending, compactness, entropy, and amenability. The extra complicated fabric comprises Popa's cocycle superrigidity, the Furstenberg-Zimmer constitution theorem, and sofic entropy.
The constitution of the booklet is designed to be versatile sufficient to serve quite a few readers. The dialogue of dynamics is built from scratch assuming a few rudimentary sensible research, degree thought, and topology, and elements of the textual content can be utilized as an introductory course. Researchers in ergodic idea and similar parts also will locate the e-book priceless as a reference.
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