On the prevalence of zero entropy |
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Authors: | Karl Sigmund |
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Affiliation: | (1) Hebrew University of Jerusalem, Israel;(2) University of Vienna, Austria |
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Abstract: | For a residual subset of the space of discrete stationary stochastic processes (under the weak topology for measures) the entropy is 0. The processes with arbitrarily large entropy are dense. For a residual subset of subshifts of the shift on a finite alphabet, the topological entropy is 0. |
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