Defining SLE in multiply connected domains with the Brownian loop measure

On conformal slit mapping of multiply-connected domains

Yûsaku Komatu · 1950

Earlier work this paper cites.

Stochastic differential equations and applications

Avner Friedman · 1976

Earlier work this paper cites.

Brownian motion and stochastic calculus

Ioannis Karatzas and Steven E. Shreve · 1991

Earlier work this paper cites.

Scaling limits of loop-erased random walks and uniform spanning trees

O. Schramm · 2000

Earlier work this paper cites.

Conformal restriction: the chordal case

Gregory Lawler, Oded Schramm, and Wendelin Werner · 2003

Earlier work this paper cites.

Stochastic Loewner evolution in multiply connected domains

Robert O. Bauer and Roland M. Friedrich · 2004

Earlier work this paper cites.

Conformal invariance of planar loop-erased random walks and uniform spanning trees

Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2004

Earlier work this paper cites.

The Brownian loop soup

Gregory F. Lawler and Wendelin Werner · 2004

Earlier work this paper cites.

Basic properties of SLE

O. Schramm and S. Rohde · 2005

Cited alongside, same era.

The Laplacian- b b random walk and the Schramm-Loewner evolution

Gregory F. Lawler · 2006

Cited alongside, same era.

The configurational measure on mutually avoiding SLE paths

Michael J. Kozdron and Gregory F. Lawler · 2007

Cited alongside, same era.

Random walk loop soup

Gregory F. Lawler and José A. Trujillo Ferreras · 2007

Cited alongside, same era.

The dimension of the SLE curves

V. Beffara · 2008

Cited alongside, same era.

Conformally invariant processes in the plane

G.F. Lawler · 2008

Cited alongside, same era.

Reversibility of chordal SLE

Dapeng Zhan · 2008

Schramm-Loewner evolution (SLE)

G. Lawler · 2009

Later among the works it cites.

Partition functions, loop measure, and versions of SLE

Gregory F. Lawler · 2009

Later among the works it cites.

Contour lines of the two-dimensional discrete Gaussian free field

Oded Schramm and Scott Sheffield · 2009

Later among the works it cites.

Random walk: a modern introduction

Gregory F. Lawler and Vlada Limic · 2010

Later among the works it cites.

Conformal loop ensembles: construction via loop-soups

Original

S. Sheffield and W. Werner · 2010

Later among the works it cites.

Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model

Stanislav Smirnov · 2010

Later among the works it cites.