Strong mixing measures for C0-semigroups

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URI: http://hdl.handle.net/10498/35525

DOI: 10.1007/S13398-014-0169-3

ISSN: 1579-1505

ISSN: 1578-7303

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Author/s
Murillo Arcila, MarinaAuthority UCA; Peris, A.
Date
2015
Department
Matemáticas
Source
RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 109 (1), (2015) 101–116
Abstract
Our purpose is to obtain a very effective and general method to prove that certain C0-semigroups admit invariant strongly mixing measures. More precisely, we show that the Frequent Hypercyclicity Criterion for C0- 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.
Subjects
semigroup of operators; strongly mixing measure; frequently hypercyclic
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