Stanislav Smirnov: Self-avoiding walks on hexagonal lattice
Stanislav Smirnov, Geneva University and St.-Petersburg State University
Time: Mon 2012-01-30 15.15 - 16.15
Location: Lecture hall F2, Lindstedtsvägen 26, KTH
A famous chemist Flory proposed to consider self-avoiding (i.e. visiting every vertex at most once) walks on a lattice as a model for polymer chains. A number of predictions about their behavior was made by physicists, but very little is known mathematically. We will discuss our joint work with Hugo-Duminil-Copin, establishing Nienhuis' exponential asymptotics for the number of self-avoiding walks on the hexagonal lattice.