منابع مشابه
Quantum Markov Semigroups: Structure and Asymptotics
We study the structure of a quantum Markov semigroup (Tt)t≥0 on a von Neumann algebra A starting from its decomposition by means of the transient and recurrent projections. The existence of invariant states and convergence to invariant state is also discussed. Applications to quantum Markov semigroups with Lindblad type infinitesimal generator are analysed.
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We analyze random walks on a class of semigroups called \left-regular bands". These walks include the hyperplane chamber walks of Bidi-gare, Hanlon, and Rockmore. Using methods of ring theory, we show that the transition matrices are diagonalizable and we calculate the eigenvalues and multiplicities. The methods lead to explicit formulas for the projections onto the eigenspaces. As examples of ...
متن کاملSemigroups, Rings, and Markov Chains
We analyze random walks on a class of semigroups called ``left-regular bands.'' These walks include the hyperplane chamber walks of Bidigare, Hanlon, and Rockmore. Using methods of ring theory, we show that the transition matrices are diagonalizable and we calculate the eigenvalues and multiplicities. The methods lead to explicit formulas for the projections onto the eigenspaces. As examples of...
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ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 1999
ISSN: 0716-0917,0717-6279
DOI: 10.22199/s07160917.1999.0003.00004