On the transient and recurrent parts of a quantum Markov semigroup

Veronica Umanità

Displaying similar documents to “On the transient and recurrent parts of a quantum Markov semigroup”

Stochastic Dynamics of Quantum Spin Systems

Adam Majewski, Robert Olkiewicz, Bogusław Zegarliński (1998)

Banach Center Publications

Similarity:

We show that recently introduced noncommutative $L_{p}$ -spaces can be used to constructions of Markov semigroups for quantum systems on a lattice.

Decoherence of quantum Markov semigroups

Rolando Rebolledo (2005)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

$L^{p}$ -spaces and quantum dynamical semigroups

Stanisław Goldstein, J. Lindsay (1998)

Banach Center Publications

Similarity:

On two quantum versions of the detailed balance condition

Franco Fagnola, Veronica Umanità (2010)

Banach Center Publications

Similarity:

Quantum detailed balance conditions are often formulated as relationships between the generator of a quantum Markov semigroup and the generator of a dual semigroup with respect to a certain scalar product defined by an invariant state. In this paper we survey some results describing the structure of norm continuous quantum Markov semigroups on ℬ(h) satisfying a quantum detailed balance condition when the duality is defined by means of pre-scalar products on ℬ(h) of the form $⟨ x, y ⟩_{s} : = t r (ρ^{1 - s} x * ρ^{s} y)$ (s ∈ [0,1])...

On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions

Enrico Priola (1999)

Studia Mathematica

Similarity:

We study a new class of Markov type semigroups (not strongly continuous in general) in the space of all real, uniformly continuous and bounded functions on a separable metric space E. Our results allow us to characterize the generators of Markov transition semigroups in infinite dimensions such as the heat and the Ornstein-Uhlenbeck semigroups.

Some properties of strong Feller semigroups on L2-spaces.

T.F. Lin (1989)

Semigroup forum

Similarity:

Markov operators: applications to diffusion processes and population dynamics

Ryszard Rudnicki (2000)

Applicationes Mathematicae

Similarity:

This note contains a survey of recent results concerning asymptotic properties of Markov operators and semigroups. Some biological and physical applications are given.

Markov dilations of nonconservative dynamical semigroups and a quantum boundary theory

B. V. Rajarama Bhat, K. R. Parthasarathy (1995)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

Reduction of a mean ergodic Markov semigroup on C(X) into its irreducible components.

S. Miyajima (1992)

Semigroup forum

Similarity:

Strong mixing Markov semigroups on C₁ are meager

Wojciech Bartoszek, Beata Kuna (2006)

Colloquium Mathematicae

Similarity:

We show that the set of those Markov semigroups on the Schatten class ₁ such that in the strong operator topology $l i m_{t \to \infty} T (t) = Q$ , where Q is a one-dimensional projection, form a meager subset of all Markov semigroups.

Degenerate convergence of semigroups.

A. Bobrowski (1994)

Semigroup forum

Similarity: