By Sergey Bezuglyi
This number of survey papers by means of top researchers in ergodic concept and low-dimensional and topological dynamics includes 9 chapters on more than a few vital themes. those comprise: the position and value of ultrafilters in ergodic idea, topological dynamics and Ramsey idea; topological features of kneading thought including an identical 2-dimensional thought referred to as 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; contemporary leads to one dimensional tender dynamics; periodic issues of nonexpansive maps; mathematics dynamics; the disorder of issue maps; entropy conception for activities of countable amenable teams.
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