Wandering exponent and free energy for the Mézard-Parisi elastic polymer

We study the behavior of the elastic polymer, as introduced by Mezard and Parisi in 1991, i.e. a model of a directed polymer in a high-dimensional Gaussian random environment. We compute its free energy, as well as the phase transition and replica-symmetry breaking picture of its Gibbs measure. In particular we describe its wandering exponent, for various types of random environments.

This talk is based on joint work with Pax Kivimae (University of Colorado)

• Speaker: Gérard Ben Arous (Courant)
• Friday 13 March 2026, 14:00–15:00
• Venue: MR9.
• Series: Probability; organiser: HoD Secretary, DPMMS.