\(L^p\)-independence of the spectral radius of symmetric Markov semigroups (Q2702424)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(L^p\)-independence of the spectral radius of symmetric Markov semigroups |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^p\)-independence of the spectral radius of symmetric Markov semigroups |
scientific article |
Statements
18 June 2002
0 references
symmetric Markov semigroup
0 references
Donsker-Varadhan large deviation theory
0 references
spectrum radius
0 references
\(L_p\)-independence
0 references
Schrödinger semigroups
0 references
gaugeability
0 references
integrability
0 references
time changed Brownian motions
0 references
\(L^p\)-independence of the spectral radius of symmetric Markov semigroups (English)
0 references
Simon had a well known result on the \(L_p\)-independence of the spectral radius of Schrödinger semigroups at 1982. In the present paper, the author shows the \(L_p\)-independence of the spectral radius for symmetric Markov semigroups by arguments of Dirichlet Space and the Donsker-Varadhan Large deviation theory. Furthermore, a necessary and sufficient condition for gaugeability, integrability of Feynman-Kac functionals, is obtained by using the result of the \(L_p\)-independence to time changed Brownian motions.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00049].
0 references
