| A.C.D. van Enter, R. Fernandez, F. den Hollander, F. Redig (2002). Possible loss and recovery of Gibbsianness during the stochastic evolution of Gibbs measures. Comm. Math. Phys. 226:101--130. 30 |
....in the context of renormalizations in a variety of models (Ising, Potts, fuzzy Potts, random cluster, voter, SOS, massless Gaussians etc) we refer to [4, 22, 7, 13] and references therein. Work gathered more momentum when non Gibbsian measures challengingly appeared also from other quarters [23, 20, 6]. Having a notion of the occurrence of pathologies one first step was mapping them out in function of the parameter space. Pathologies first seemed to appear only in certain parameter regions (like the low temperature regime in the Ising model) but later developments revealed that by no means ....
A.C.D. van Enter, R. Fernandez, F. den Hollander and F. Redig, Possible loss and recovery of Gibbsianness during the stochastic evolution of Gibbs measures, preprint, 2001
....low temperature phases, so that renormalizing the measure can really be viewed as a transformation on the level of Hamiltonians. Later on, many other examples of non Gibbsian measures appeared in the context of joint measures of disordered spin systems [17] time evolution of Gibbs measures [5], and dynamical systems [22] providing further motivation for the construction of a generalized Gibbs formalism. As soon as the first examples of non Gibbsian measures appeared, Dobrushin proposed a program of Gibbsian restoration of non Gibbsian fields , arguing that the phenomenon of ....
A.C.D. van Enter, R. Fernandez, F. den Hollander, F. Redig (2002). Possible loss and recovery of Gibbsianness during the stochastic evolution of Gibbs measures. Comm. Math. Phys. 226:101--130. 30
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