On the Location of the 1-particle Branch of the Spectrum of the Disordered Stochastic Ising Model
Gianfelice, M. ; Isopi, M.
arXiv, 0311108 / Harvested from arXiv
Text on arXiv
We analyse the lower non trivial part of the spectrum of the generator of the Glauber dynamics, which we consider a positive operator, for a d-dimensional nearest neighbour Ising model with a bounded random potential. We prove conjecture 1 in a paper by Albeverio et al.(referred as [AMSZ]) that is, for sufficently large values of the temperature, the first band of the spectrum of the generator of the process coincides with a closed non random segment of the real line.
Publié le : 2003-11-07
Classification:  Mathematics - Probability,  Mathematical Physics,  82B44 (Primary), 60K35 (Secondary) 
@article{0311108,
     author = {Gianfelice, M. and Isopi, M.},
     title = {On the Location of the 1-particle Branch of the Spectrum of the
  Disordered Stochastic Ising Model},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0311108}
}

Gianfelice, M.; Isopi, M. On the Location of the 1-particle Branch of the Spectrum of the
  Disordered Stochastic Ising Model. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0311108/