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Non-Gibbsian measures on the lattice, in mean-field and in betweenMathematical 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
Less known, corresponding phenomena also exist for mean-field
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
We also discuss the relation to disordered systems and large
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.