Strong mixing measures for $C_0$-semigroups

Abstract

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 mixing measures with full support. We will several examples, that range from birth-and-death models to the Black-Scholes equation, which illustrate these results.

14 pages

References in corpus (1)

• Strong mixing measures for linear operators and frequent hypercyclicity

Cited by in corpus (3)

• Chaotic behaviour on invariant sets of linear operators
• The Specification Property for $C_0$-Semigroups
• A remark on the frequent hypercyclicity criterion for weighted composition semigroups and an application to the linear von Foerster-Lasota equation