Variational principle for lattice models with long-range interactions

15.10.2019 16:30 - 17:30

Piet Lammers (University of Cambridge)


The variational principle asserts that the shift-invariant Gibbs measures coincide exactly with the minimisers of the entropy density. A new characterisation of the entropy density leads to the variational principle for the loop O(n) model, and for the annealed version of the Ising model in a random percolation environment. This is based on joint work with Martin Tassy (arXiv:1907.05414).


M. Beiglböck, N. Berestycki, L. Erdös, J. Maas


SR 14, 2 OG., OMP 1