Gibbs-non-Gibbs transitions via large deviations: computable examples

Frank Redig; Feijia Wang

doi:10.1007/s10955-012-0523-9

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arXiv · 1202.4343

Gibbs-non-Gibbs transitions via large deviations: computable examples

Frank Redig·Feijia Wang

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Abstract

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.

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BibTeX RIS

Frank Redig, Feijia Wang. 2012-02-20. Gibbs-non-Gibbs transitions via large deviations: computable examples. https://doi.org/10.1007/s10955-012-0523-9

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