Pure partition functions of multiple SLEs
Mathematical Physics
2018-02-13 v2 Analysis of PDEs
math.MP
Probability
Quantum Algebra
Representation Theory
Abstract
Multiple Schramm-Loewner Evolutions (SLE) are conformally invariant random processes of several curves, whose construction by growth processes relies on partition functions: M\"obius covariant solutions to a system of second order partial differential equations. In this article, we use a quantum group technique to construct a distinguished basis of solutions, which conjecturally correspond to the extremal points of the convex set of probability measures of multiple SLEs.
Cite
@article{arxiv.1506.02476,
title = {Pure partition functions of multiple SLEs},
author = {Kalle Kytölä and Eveliina Peltola},
journal= {arXiv preprint arXiv:1506.02476},
year = {2018}
}
Comments
47 pages, 15 figures, to appear in Communications in Mathematical Physics