Applied Mathematics Colloquium: Dr. Wei Wu
New York University Shanghai
Friday, October 30, 2020 · 9 AM - 10 AM
Title: Surface tension for the stochastic interface model
Abstract: 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 new results, in joint work with Scott Armstrong, that resolves a conjecture of Funaki and Spohn regarding the surface tensions.