Phase transitions in charged polymer models
Julien POISAT
Université Paris Dauphine
Date(s) : 16/06/2026 iCal
14h30 - 15h30
I will review some old and recent results on the topic of charged polymer models. Those are random walk models with disordered interaction at self-intersections, introduced by Kantor and Kardar in the 90’s. Precise results have been obtained so far for the one-dimensional model in the annealed setting, showing a phase transition from a collapsed phase (attractive interactions prevailing) to an extended phase (repulsive interactions prevailing). Those results have been then extended to higher dimensions, in a more qualitative way. I will also mention a variant model with quenched disorder, for which a freezing transition was conjectured by Derrida, Griffiths and Higgs. Based on joint works with Q. Berger, F. Caravenna, F. den Hollander and N. Pétrélis.
Emplacement
I2M Saint-Charles - Salle de séminaire
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