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### Non-Gibbsian measures on the lattice, in mean-field and in between

**Mathematical Physics & Probability**

Speaker: | Christof Kuelske, University of Groningen |

Location: | 1147 MSB |

Start time: | Wed, Nov 15 2006, 2:10PM |

Many examples of seemingly harmless transformations of lattice spin measures in mathematical statistical mechanics are known to destroy the Gibbs property. This is caused by the emergence of non-localities in the joint measure. Less known, corresponding phenomena also exist for mean-field (exchangeable) systems, with a suitable notion of mean-field Gibbsianness. We describe results for this in both lattice and mean field models, focussing on stochastic time-evolutions for which non-Gibbsianness was only recently discovered. We also discuss the relation to disordered systems and large deviations, and conjecture how lattice and mean-field results may be linked by a Kac-(long range-) limit. Joint work with: A.C.D. van Enter, A. Le Ny, A. Opoku, F. Redig.