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The ∇φ-interface model is a model for random interfaces that has been a topic of mathematical research since the 1970s (introduced by Brascamp, Lieb and Lebowitz). They also arise as effective models for many statistical mechanics models. When the potential is uniformly convex, a breakthrough was made by Naddaf and Spencer more than 20 years ago, by observing the connection between the scaling limit of the field and elliptic homogenization. I will discuss some recent results, in joint work with Scott Armstrong, that resolves a conjecture of Funaki and Spohn regarding the surface tensions.
Dr. Wei Wu is an Associate Professor of Mathematics at NYU Shanghai. Before joining NYU Shanghai, he held academic positions as an Assistant Professor at the University of Warwick and a Courant Instructor at New York University. He works in probability, mathematical physics and partial differential equations, especially in Gibbs random fields, spin models, phase transitions and homogenization.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai