Measures of maximal entropy
محورهای موضوعی : Abstract harmonic analysis
1 - Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran
کلید واژه: locally compact group, Infinite invariant measure, Haar measure, maximal entropy,
چکیده مقاله :
We extend the results of Walters on the uniqueness of invariant measures with maximal entropy on compact groups to an arbitrary locally compact group. We show that the maximal entropy is attained at the left Haar measure and the measure of maximal entropy is unique.
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