Transience and recurrence of quantum Markov semigroups
成果类型：
Article
署名作者：
Fagnola, F; Rebolledo, R
署名单位：
University of Genoa; Pontificia Universidad Catolica de Chile
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-003-0268-0
发表日期：
2003
页码：
289-306
关键词：
摘要：
This article introduces a concept of transience and recurrence for a Quantum Markov Semigroup and explores its main properties via the associated potential. We show that an irreducible semigroup is either recurrent or transient and characterize transient semigroups by means of the existence of non trivial superharmonic operators.
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