Pure Partition Functions of Multiple SLEs

Kalle Kytölä; Eveliina Peltola

doi:10.1007/s00220-016-2655-2

Pure Partition Functions of Multiple SLEs

Kalle Kytölä^*, Eveliina Peltola

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

12 Citations (Scopus)

Abstract

Multiple Schramm–Loewner Evolutions (SLE) are conformally invariant random processes of several curves, whose construction by growth processes relies on partition functions—Möbius 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.

Original language	English
Pages (from-to)	237-292
Number of pages	56
Journal	COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume	346
Issue number	1
Early online date	27 May 2016
DOIs	https://doi.org/10.1007/s00220-016-2655-2
Publication status	Published - Aug 2016
MoE publication type	A1 Journal article-refereed

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Kytölä, K., & Peltola, E. (2016). Pure Partition Functions of Multiple SLEs. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 346(1), 237-292. https://doi.org/10.1007/s00220-016-2655-2

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