MARKOV SEMIGROUPS ON UHF ALGEBRAS

被引：17
|
作者：
MATSUI, T
机构：
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 1993年 / 5卷 / 03期
关键词：
D O I：
10.1142/S0129055X93000176
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a class of Markov semigroups on UHF algebras. We establish the existence of dynamics for long range interactions. Our idea is a non-commutative extension of the argument for classical interacting particle systems. As a by-product we obtain sufficient conditions for unique ergodicity.
引用
收藏
页码：587 / 600
页数：14
相关论文
共 50 条
  • [31] ON OPERATOR SEMIGROUPS AND MARKOV GROUPS
    WILLIAMS, D
    ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1969, 13 (3-4): : 280 - &
  • [32] UNIQUENESS OF LOGARITHM FOR MARKOV SEMIGROUPS
    CUTHBERT, JR
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1972, 4 (MAY): : 623 - &
  • [33] Semigroups, Rings, and Markov Chains
    Kenneth S. Brown
    Journal of Theoretical Probability, 2000, 13 : 871 - 938
  • [34] A FAMILY OF QUANTUM MARKOV SEMIGROUPS
    Ahn, Sung Ki
    Ko, Chul Ki
    Pyung, In Soo
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 20 (04): : 751 - 763
  • [35] Feller semigroups and Markov processes
    Taira, K
    COMPUTATIONAL & APPLIED MATHEMATICS, 1997, 16 (01): : 53 - 96
  • [36] Generators of quantum Markov semigroups
    Androulakis, George
    Ziemke, Matthew
    JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (08)
  • [37] NONCOMMUTATIVE SYMMETRICAL MARKOV SEMIGROUPS
    DAVIES, EB
    LINDSAY, JM
    MATHEMATISCHE ZEITSCHRIFT, 1992, 210 (03) : 379 - 411
  • [38] SUPERDERIVATIONS AND SYMMETRICAL MARKOV SEMIGROUPS
    DAVIES, EB
    LINDSAY, JM
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 157 (02) : 359 - 370
  • [39] Markov semigroups, monoids and groups
    Cain, Alan J.
    Maltcev, Victor
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2014, 24 (05) : 609 - 653
  • [40] Semigroups, rings, and Markov chains
    Brown, KS
    JOURNAL OF THEORETICAL PROBABILITY, 2000, 13 (03) : 871 - 938
12345