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Topics in Dynamics and Ergodic Theory
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  • Cited by 2
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Arriagada, Waldo 2015. Linking invariants for smooth minimal solenoids. Dynamical Systems, Vol. 30, Issue. 3, p. 297.


    Simpson, Stephen G. 2015. Symbolic Dynamics: Entropy = Dimension = Complexity. Theory of Computing Systems, Vol. 56, Issue. 3, p. 527.


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  • Edited by Sergey Bezuglyi, Institute of Low-Temperature Physics and Engineering, Kharkov, Ukraine , Sergiy Kolyada, National Academy of Sciences of Ukraine

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    Topics in Dynamics and Ergodic Theory
    • Online ISBN: 9780511546716
    • Book DOI: https://doi.org/10.1017/CBO9780511546716
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Book description

This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2-dimensional theory called pruning; the dynamics of Markov odometers, Bratteli-Vershik diagrams and orbit equivalence of non-singular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups.

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