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Stochastic Dynamics of Quantum Spin Systems

Adam Majewski, Robert Olkiewicz, Bogusław Zegarliński (1998)

Banach Center Publications

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

Strong mixing Markov semigroups on C₁ are meager

Wojciech Bartoszek, Beata Kuna (2006)

Colloquium Mathematicae

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 T ( t ) = Q , where Q is a one-dimensional projection, form a meager subset of all Markov semigroups.

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