Translation invariant Gibbs states for the Ising model
Bodineau, Thierry
HAL, hal-00003038 / Harvested from HAL
Text on HAL
We prove that all the translation invariant Gibbs states of the Ising model are a linear combination of the pure phases $\mu^+_\gb,\mu^-_\gb$ for any $\gb \not = \gb_c$. This implies that the average magnetization is continuous for $\gb >\gb_c$. Furthermore, combined with previous results on the slab percolation threshold this shows the validity of Pisztora's coarse graining up to the critical temperature.
Publié le : 2004-10-08
Classification:  Ising model,  Gibbs measures,  82B20; 82B26.,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{hal-00003038,
     author = {Bodineau, Thierry},
     title = {Translation invariant Gibbs states for the Ising model},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003038}
}

Bodineau, Thierry. Translation invariant Gibbs states for the Ising model. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003038/