Strong mixing measures for \(C_0\)-semigroups
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Our purpose is to obtain a very effective and general method to prove that certain \(C_0\)-semigroups admit invariant strongly mixing measures. More precisely, we show that the frequent hypercyclicity criterion for \(C_0\)-semigroups ensures the existence of invariant strongly mixing measures with full support. We will provide several examples, that range from birth-and-death models to the Black–Scholes equation, which illustrate these results.
KeywordsSemigroup of operators Strongly mixing measure Frequently hypercyclic
We would like to thank the referees whose comments led to an improvement of the article’s presentation.
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