1202.4343 (Frank Redig et al.)

Gibbs-non-Gibbs transitions via large deviations: computable examples    [PDF]

Frank Redig, Feijia Wang

We give new and explicitly computable examples of Gibbs-non-Gibbs transitions
of mean-field type, using the large deviation approach introduced in [4]. These
examples include Brownian motion with small variance and related diffusion
processes, such as the Ornstein-Uhlenbeck process, as well as birth and death
processes. We show for a large class of initial measures and diffusive dynamics
both short-time conservation of Gibbsianness and dynamical Gibbs-non-Gibbs
transitions.

View original: http://arxiv.org/abs/1202.4343