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Variational principle for lattice models with long-range interactions

Vienna Probability Seminar

Date: Tuesday, October 15, 2019 16:30 - 17:30
Speaker: Piet Lammers (University of Cambridge)
Location: SR 14, 2 OG., OMP 1, University of Vienna
Series: Mathematics and CS Seminar
Host: M. Beiglboeck, N. Berestycki, L. Erdoes, J. Maas
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Abstract:

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).

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