Pure Partition Functions of Multiple SLEs

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Pure Partition Functions of Multiple SLEs. / Kytölä, Kalle; Peltola, Eveliina.

In: COMMUNICATIONS IN MATHEMATICAL PHYSICS, Vol. 346, No. 1, 08.2016, p. 237-292.

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Kytölä, Kalle ; Peltola, Eveliina. / Pure Partition Functions of Multiple SLEs. In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2016 ; Vol. 346, No. 1. pp. 237-292.

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@article{64cd9457039147388f296dcc8641dd97,
title = "Pure Partition Functions of Multiple SLEs",
abstract = "Multiple Schramm–Loewner Evolutions (SLE) are conformally invariant random processes of several curves, whose construction by growth processes relies on partition functions—M{\"o}bius 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.",
author = "Kalle Kyt{\"o}l{\"a} and Eveliina Peltola",
year = "2016",
month = "8",
doi = "10.1007/s00220-016-2655-2",
language = "English",
volume = "346",
pages = "237--292",
journal = "COMMUNICATIONS IN MATHEMATICAL PHYSICS",
issn = "0010-3616",
publisher = "Springer New York",
number = "1",

}

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TY - JOUR

T1 - Pure Partition Functions of Multiple SLEs

AU - Kytölä, Kalle

AU - Peltola, Eveliina

PY - 2016/8

Y1 - 2016/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84970991004&partnerID=8YFLogxK

U2 - 10.1007/s00220-016-2655-2

DO - 10.1007/s00220-016-2655-2

M3 - Article

VL - 346

SP - 237

EP - 292

JO - COMMUNICATIONS IN MATHEMATICAL PHYSICS

T2 - COMMUNICATIONS IN MATHEMATICAL PHYSICS

JF - COMMUNICATIONS IN MATHEMATICAL PHYSICS

SN - 0010-3616

IS - 1

ER -

ID: 4667307