Gregory F. Lawler
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Gregory F. Lawler has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Oded Schramm
Microsoft Corporation
5 shared publications - Wendelin Werner
Laboratoire de Mathématiques, Université Paris-Sud, Orsay Cedex, France
5 shared publications - Emily E. Puckette
Department of Mathematics, Occidental College, Los Angeles, CA 90041-3314, USA
2 shared publications
Latest Publications
- 1 July 2011
- Published by Springer Nature
- p. 897-930
Values of Brownian intersection exponents, II: Plane exponents
- 1 July 2011
- Published by Springer Nature
- p. 897-930
Values of Brownian intersection exponents, II: Plane exponents
- 1 July 2011
- Published by Springer Nature
- p. 859-895
Values of Brownian intersection exponents, I: Half-plane exponents
- 1 July 2011
- Published by Springer Nature
- p. 859-895
Values of Brownian intersection exponents, I: Half-plane exponents
- 1 January 2002
- Published by Springer Nature
- p. 113-131
Sharp Estimates for Brownian Non-intersection Probabilities
- 1 January 2002
- Published by Springer Nature
- p. 113-131
Sharp Estimates for Brownian Non-intersection Probabilities
- Open Access
One-arm exponent for critical 2D percolation
The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than $R$ is proved to decay like $R^{-5/48}$ as $R\to\infty$.Open AccessOne-arm exponent for critical 2D percolation
The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than $R$ is proved to decay like $R^{-5/48}$ as $R\to\infty$. - Open Access
Sharp estimates for Brownian non-intersection probabilities
This paper gives an accessible (but still technical) self-contained proof to the fact that the intersection probabilities for planar Brownian motion are given in terms of the intersection exponents, up to a bounded multiplicative error, and some closely related results. While most of the results are already known, the proofs are somewhat new, and the paper can serve as a source for the estimates used in our paper on the analyticity of the Brownian intersection exponents (math.PR/0005295).
Open AccessSharp estimates for Brownian non-intersection probabilities
This paper gives an accessible (but still technical) self-contained proof to the fact that the intersection probabilities for planar Brownian motion are given in terms of the intersection exponents, up to a bounded multiplicative error, and some closely related results. While most of the results are already known, the proofs are somewhat new, and the paper can serve as a source for the estimates used in our paper on the analyticity of the Brownian intersection exponents (math.PR/0005295).
- 1 September 2000
- Published by Cambridge University Press (CUP) in Combinatorics, Probability and Computing
- Vol. 9 (5) , 441-464
The Intersection Exponent for Simple Random Walk
The intersection exponent ξ for simple random walk in two and three dimensions gives a measure of the rate of decay of the probability that paths do not intersect. In this paper we show that the intersection exponent for random walks is the same as that for Brownian motion and show in fact that the probability of nonintersection up to distance n is comparable (equal up to multiplicative constants) to n−ξ.
- 1 September 2000
- Published by Cambridge University Press (CUP) in Combinatorics, Probability and Computing
- Vol. 9 (5) , 441-464
The Intersection Exponent for Simple Random Walk
The intersection exponent ξ for simple random walk in two and three dimensions gives a measure of the rate of decay of the probability that paths do not intersect. In this paper we show that the intersection exponent for random walks is the same as that for Brownian motion and show in fact that the probability of nonintersection up to distance n is comparable (equal up to multiplicative constants) to n−ξ.
- 1 December 1997
- Published by Springer Nature in Israel Journal of Mathematics
- Vol. 99 (1) , 109-121
The disconnection exponent for simple random walk
- 1 December 1997
- Published by Springer Nature in Israel Journal of Mathematics
- Vol. 99 (1) , 109-121
The disconnection exponent for simple random walk
- 1 January 1993
- Published by Springer Nature
- p. 189-207
On the Covering Time of a Disc by Simple Random Walk in Two Dimensions
- 1 January 1993
- Published by Springer Nature
- p. 189-207
On the Covering Time of a Disc by Simple Random Walk in Two Dimensions