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Groups and Topological Dynamics (Paperback)
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Groups and Topological Dynamics (Paperback)
Series: Graduate Studies in Mathematics
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This book is devoted to group-theoretic aspects of topological
dynamics such as studying groups using their actions on topological
spaces, using group theory to study symbolic dynamics, and other
connections between group theory and dynamical systems. One of the
main applications of this approach to group theory is the study of
asymptotic properties of groups such as growth and amenability. The
book presents recently developed techniques of studying groups of
dynamical origin using the structure of their orbits and associated
groupoids of germs, applications of the iterated monodromy groups
to hyperbolic dynamical systems, topological full groups and their
properties, amenable groups, groups of intermediate growth, and
other topics. The book is suitable for graduate students and
researchers interested in group theory, transformations defined by
automata, topological and holomorphic dynamics, and theory of
topological groupoids. Each chapter is supplemented by exercises of
various levels of complexity.
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