Ergodic property of Markovian semigroups on standard forms of von Neumann algebras
Park, Yong Moon
arXiv, 0503044 / Harvested from arXiv
Text on arXiv
We give sufficient conditions for ergodicity of the Markovian semigroups associated to Dirichlet forms on standard forms of von Neumann algebras constructed by the method proposed in Refs. [Par1,Par2]. We apply our result to show that the diffusion type Markovian semigroups for quantum spin systems are ergodic in the region of high temperatures where the uniqueness of the KMS-state holds.
Publié le : 2005-03-16
Classification:  Mathematical Physics 
@article{0503044,
     author = {Park, Yong Moon},
     title = {Ergodic property of Markovian semigroups on standard forms of von
  Neumann algebras},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503044}
}

Park, Yong Moon. Ergodic property of Markovian semigroups on standard forms of von
  Neumann algebras. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503044/