We present a new method to prove existence and uniform a priori estimates for Euclidean Gibbs measures corresponding to quantum anharmonic crystals. It is based first on the alternative characterization of Gibbs measures in terms of their logarithmic derivatives through integration by parts formulas, and second on the choice of appropriate Lyapunov functionals.
Publié le : 2004-01-14
Classification:
Quantum lattice systems,
Euclidean Gibbs states,
smooth measures on vector spaces,
integration by parts formulae,
Lyapunov functionals,
60H30,
60G60,
82B10
@article{1078415832,
author = {Albeverio, Sergio and Kondratiev, Yuri and Pasurek, Tatiana and R\"ockner, Michael},
title = {Euclidean Gibbs measures on loop lattices: Existence and a priori estimates},
journal = {Ann. Probab.},
volume = {32},
number = {1A},
year = {2004},
pages = { 153-190},
language = {en},
url = {http://dml.mathdoc.fr/item/1078415832}
}
Albeverio, Sergio; Kondratiev, Yuri; Pasurek, Tatiana; Röckner, Michael. Euclidean Gibbs measures on loop lattices: Existence and a priori estimates. Ann. Probab., Tome 32 (2004) no. 1A, pp. 153-190. http://gdmltest.u-ga.fr/item/1078415832/