University of Cambridge > > Probability > Variational principle for lattice models with long-range interactions

Variational principle for lattice models with long-range interactions

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Perla Sousi.

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. For the former, this leads to an existence proof of shift-invariant Gibbs measures, for arbitrary parameters. For the latter, uniqueness of the shift-invariant Gibbs measure is proven in the nonmagnetic phase. This is based on joint work with Martin Tassy (arXiv:1907.05414).

This talk is part of the Probability series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity