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Non-Gibbsian measures on the lattice, in mean-field and in between
Probability| Speaker: | Christof Kuelske, University of Groningen |
| Location: | 1147 MSB |
| Start time: | Wed, Nov 15 2006, 2:10PM |
Description
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.