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Communications in Mathematical Physics

, Volume 346, Issue 1, pp 237–292 | Cite as

Pure Partition Functions of Multiple SLEs

  • Kalle Kytölä
  • Eveliina Peltola
Article

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Mathematics and Systems AnalysisAalto UniversityEspooFinland
  2. 2.Department of Mathematics and StatisticsUniversity of HelsinkiHelsinkiFinland

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