Results 191 to 200 of about 14,174 (225)

On Supercontractivity for Markov Semigroups

Acta Mathematica Sinica, English Series, 2006
Let \((E,{\mathcal E},\mu)\) be a probability space and let \((D,{\mathcal D}(D))\) be a symmetric Dirichlet form on \(L^2(\mu)\). The author gives some necessary and sufficient conditions such that the so called super log-Sobolev inequality holds, i.e., \[ \mu(f^2 \log f^2) \leq r D(f,f) + \beta(r), \quad r>0,\;f\in {\mathcal D}(D),\;\mu(f^2)=1, \tag \
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Ergodic quantum Markov semigroups and decoherence

Journal of Operator Theory, 2014
We study the relationships between ergodicity and environment induced decoherence for Quantum Markov Semigroups on a von Neumann algebra. We show that these properties are equivalent when the set of fixed points is an algebra containing the maximal subalgebra on which the semigroup is authomorphic.
CARBONE R., SASSO, EMANUELA, UMANITA', VERONICA   +2 more
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THE ASYMMETRIC EXCLUSION QUANTUM MARKOV SEMIGROUP

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2009
In this paper we study a class of quantum Markov semigroups whose restriction to an abelian sub-algebra coincides, on the configurations with finite support, with the exclusion type semigroups introduced in Liggett's book14 of exchange rates [Formula: see text] not symmetric in the index site r, s.
Pantaleón-Martínez, Leopoldo, Quezada, Roberto   +1 more
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NONLINEAR MARKOV SEMIGROUPS ON C*-ALGEBRAS

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013
A notion of a nonlinear quantum dynamical semigroup is introduced and discussed. Some sufficient conditions, expressed solely in terms of the duality map, in order that a multivalued mapping on a C*-algebra generates the nonlinear Markov semigroup are proposed.
Ługiewicz, P., Olkiewicz, R., Zegarlinski, B.   +2 more
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Markov and Feller Semigroups

2019
Markov and Feller semigroups are introduced, together with the corresponding stochastic processes. As all generators of Feller semigroups satisfy the positive maximum principle, we focus on that property and discuss the associated Hille–Yosida–Ray theorem.
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Markov Processes and Semigroups

2004
In this chapter we introduce a class of semigroups associated with Markov processes, called Feller semigroups, and prove generation theorems for Feller semigroups (Theorems 3.3 and Theorem 3.5) which form a functional analytic background for the proof of Theorem 1.5 in Chap. 13. The results discussed here are adapted from Blumenthal-Getoor [BG], Dynkin
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Markov Semigroups

2014
Dominique Bakry, Ivan Gentil, Michel Ledoux   +2 more
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Markov Semigroups and Their Applications

2002
Some recent results concerning asymptotic properties of Markov operators and semigroups are presented. Applications to diffusion processes and to randomly perturbed dynamical systems are given.
R. Rudnicki, K. Pichór, M. Tyran-Kamińska   +2 more
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Markov Semigroups

2017
Kalyan B. Sinha, Sachi Srivastava
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An Introduction to Markov Semigroups

2004
This paper contains the notes of a short course on Markov semigroups. The main aim was to give an introduction to some important properties as: ergodicity, irreducibility, strong Feller property, invariant measures, relevant to some important Markov semigroups arising in infinite dimensional analysis and in stochastic dynamical systems.
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