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Variational principles for topological entropies of subsets
Topological entropies Measure-theoretical entropies
2011/1/18
Let (X, T ) be a topological dynamical system. We define the measure-theoretical lower and upper entropies hμ(T ), hμ(T ) for any μ ∈ M(X), where M(X) denotes the collection of all Borel probability m...
In this exposition the space of at most 3-element subsets of the circle, first identified by Borsuk and Bott, is used as a motivation to introduce the readers to a variety of methods in (algebraic) to...