A conference in honor of Vincent Rivasseau
25-27 Nov 2015 Paris (France)
The Coulomb gas in two dimensions
David Brydges  1  
1 : University of British Columbia (CANADA)

I will explain some of the recent work by Pierluigi Falco about the Coulomb system on a two dimensional lattice at the Kosterlitz-Thouless transition line. His results show, at low density, that the fractional charge correlations have the predicted power law decays with specific log corrections. First I will explain these terms and some open problems and then mention some critical parts of his proof.


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