Recent Papers , Gregory F. Lawler

Here are some references to recent papers and preprints. For references to older papers you may check my vita.

The configurational measure on mutually avoiding SLE paths (with M. Kozdron)

Two-sided SLE_{8/3} and the infinite self-avoiding polygon (with J. Lind)

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

Estimates of random walk exit probabilities and application to loop-erased random walk (with M. Kozdron)

Stochastic Loewner evolution This is a draft of a contribution on SLE to Encyclopedia of Mathematical Physics to be published by Elsevier. Comments are appreciated. For the record, I will NOT be giving the copyright of this article to Elsevier --- I will only be giving them rights to print it. When I submit the final version to Elsevier, I will also submit a copy to the ArXiv.

Internal set theory and infinitesimal random walks (This is an extended version of a talk that I gave at: Analysis, Probability, and Logic, A Conference in Honor of Edward Nelson.)

Random walk loop soup (with J. A. Trujillo Ferreras)

Irreducible compositions and the first return to the origin of a random walk (with E. Binder, R. Pemantle, and H. Wilf)

The Beurling estimate for a class of random walks (with V. Limic)

The restriction property for conformally covariant measures (this is a talk to be given at the XIV Intenational Congress on Mathematical Physics and is a short summary of the main results of the following two papers)

The Brownian loop soup (with W. Werner).

Conformal restriction: the chordal case (with O. Schramm and W. Werner)

Conformally invariant processes in the plane , notes from lectures given in May, 2002 (School on Probability, ICTP, Trieste) and August, 2002 (6th Brazilian Probability School, Ubatuba, Brazil)

On the scaling limit of planar self-avoiding walk (with O. Schramm and W. Werner)

Conformal invariance, universality, and the dimension of the Brownian frontier (contribution to the proceedings of the ICM 2002, Beijing)

Conformal invariance of planar loop-erased random walks and uniform spanning trees (with O. Schramm and W. Werner)

One arm exponent for critical 2D percolation (with O. Schramm and W. Werner)

An introduction to the stochastic Loewner evolution

Sharp estimates for Brownian non-intersection probabilities (with O. Schramm and W. Werner)

The dimension of the planar Brownian frontier is 4/3 (with O. Schramm and W. Werner) (This is a short survey of the following four papers.)

Analyticity of intersection exponents for planar Brownian motion (with O. Schramm and W. Werner)

Values of Brownian intersection exponents III: Two-sided exponents (with O. Schramm and W. Werner)

Values of Brownian intersection exponents II: Plane exponents (with O. Schramm and W. Werner)

Values of Brownian intersection exponents I: Half-plane exponents (with O. Schramm and W. Werner)