%% Books
@book{fds9064,
Author = {Gregory F. Lawler and Lester N. Coyle},
Title = {Lectures on Contemporary Probability},
Journal = {AMS Student Mathematical Library (1999)},
Abstract = {These are notes from lectures given in the undergraduate
program of the IAS/Park City summer school in
1996.},
Key = {fds9064}
}
@book{fds9081,
Author = {Gregory F. Lawler},
Title = {Introduction to Stochastic Processes},
Journal = {CRC Chapman and Hall (1995)},
Key = {fds9081}
}
@book{fds9065,
Author = {Gregory F. Lawler},
Title = {Intersections of Random Walks},
Journal = {BirkhauserBoston (1991, softcover edition
1996)},
Key = {fds9065}
}
%% Papers Published
@article{fds10193,
Author = {Gregory F. Lawler and Oded Schramm and Wendelin
Werner},
Title = {Values of Brownian intersection exponents I: halfplane
exponents},
Journal = {Acta. Math. 187 (2001), 237273},
url = {http://arxiv.org/abs/math/9911084},
Key = {fds10193}
}
@article{fds10194,
Author = {Gregory F. Lawler and Oded Schramm and Wendelin
Werner},
Title = {Values of Brownian intersection exponents II: plane
exponents},
Journal = {Acta Math. 187 (2001), 275308},
url = {http://arxiv.org/abs/math/0003156},
Key = {fds10194}
}
@article{fds10192,
Author = {Gregory F. Lawler and Oded Schramm and Wendelin
Werner},
Title = {Onearm exponent for critical 2D percolation},
Journal = {Electronic J. of Probability, 7 (2002), paper no.
2},
url = {http://www.math.washington.edu/~ejpecp},
Key = {fds10192}
}
@article{fds10187,
Author = {Gregory F. Lawler and Oded Schramm and Wendelin
Werner},
Title = {Values of Brownian intersection exponents III: Twosided
exponents},
Journal = {Ann. Inst. Henri Poincare' 38 (2002), pp
109123},
url = {http://arxiv.org/abs/math/0005294},
Key = {fds10187}
}
@article{fds9810,
Author = {Gregory F. Lawler and Oded Schramm and Wendelin
Werner},
Title = {The dimension of the planar Brownian frontier is
4/3},
Journal = {Math. Research Letters 8 (2001), 401411},
Key = {fds9810}
}
@article{fds9728,
Author = {Gregory F. Lawler and Wendelin Werner},
Title = {Universality for conformally invariant intersection
exponents},
Journal = {J. European Math. Soc. 2 (2000) , 291328},
Key = {fds9728}
}
@article{fds9603,
Author = {Gregory F. Lawler},
Title = {Strict concavity of the half plane intersection exponent for
planar Brownian motion},
Journal = {Electronic Journal of Probability 5 (2000), paper no.
8},
url = {http://www.math.washington.edu/~ejpecp},
Key = {fds9603}
}
@article{fds9782,
Author = {Gregory F. Lawler and Emily Puckette},
Title = {The intersection exponent for simple random
walk},
Journal = {Combinatorics, Probability, and Computing 9 (2000),
441464},
Key = {fds9782}
}
@article{fds9563,
Author = {Gregory F. Lawler and Wendelin Werner},
Title = {Intersection exponents for planar Brownian
motion},
Journal = {Annals of Probability 27 (1999), 16011642},
Key = {fds9563}
}
@article{fds9120,
Author = {Gregory F. Lawler},
Title = {A lower bound on the growth exponent for looperased walk in
two dimensions},
Journal = {ESAIM: Probability and Statistics 3 (1999),121},
Key = {fds9120}
}
@article{fds9520,
Author = {Gregory F. Lawler},
Title = {Multifractal nature of two dimensional simple random walk
paths},
Journal = {Random Walks and Discrete Potential Theory, M. Picardello
and W. Woess, ed., Cambridge University Press (1999),
231264.},
Key = {fds9520}
}
@article{fds9066,
Author = {Gregory F. Lawler},
Title = {Looperased random walk},
Journal = {Perplexing Problems in Probability, BirkhauserBoston
(1999), 197217},
Key = {fds9066}
}
@article{fds9527,
Author = {Gregory F. Lawler},
Title = {Geometric and fractal properties of Brownian motion and
random walk paths in two and three dimensions},
Journal = {Bolyai Mathematical Society Studies, 9 (1999),
219258},
Key = {fds9527}
}
@article{fds8765,
Author = {Gregory F. Lawler},
Title = {Strict concavity of the intersection exponent for Brownian
motion in two and three dimensions},
Journal = {Mathematical Physics Electronic Journal 5 (1998),
#5},
Key = {fds8765}
}
@article{fds8766,
Author = {Gregory F. Lawler},
Title = {Looperased walks intersect infinitely often in four
dimensions},
Journal = {Electronic Communications in Probability 3 (1998),
3542},
url = {http://www.math.washington.edu/~ejpecp},
Key = {fds8766}
}
@article{fds9040,
Author = {Gregory F. Lawler and Emily E. Puckette},
Title = {The disconnection exponent for simple random
walk},
Journal = {Israel Journal of Mathematics 99 (1997),
109122.},
Key = {fds9040}
}
@article{fds8776,
Author = {Gregory F. Lawler},
Title = {Hausdorff dimension of cut points for Brownian
motion},
Journal = {Electronic Journal of Probability 1 (1996),
#2},
url = {http://www.math.washington.edu/~ejpecp},
Key = {fds8776}
}
@article{fds8777,
Author = {Gregory F. Lawler},
Title = {Cut points for simple random walk},
Journal = {Electronic Journal of Probability 1 (1996),
#13},
url = {http://www.math.washington.edu/~ejpecp},
Key = {fds8777}
}
@article{fds8778,
Author = {Gregory F. Lawler},
Title = {The dimension of the frontier of planar Brownian
motion},
Journal = {Electronic Communications in Probability 1 (1996),
2947},
url = {http://www.math.washington.edu/~ejpecp},
Key = {fds8778}
}
@article{fds8772,
Author = {Gregory F. Lawler},
Title = {Subdiffusive fluctuations for internal diffusion limited
aggregation},
Journal = {Annals of Probability 23 (1995), 7186},
Key = {fds8772}
}
@article{fds8773,
Author = {Gregory F. Lawler},
Title = {The logarithmic correction for looperased walk in four
dimensions},
Journal = {Proceedings of the Conference in Honor of J.P. Kahane,
special issue of Journal of Fourier Analysis and
Applications, CRC Press (1995), 347362},
Key = {fds8773}
}
@article{fds8775,
Author = {Gregory F. Lawler},
Title = {Recurrence and transience for a card shuffling
model},
Journal = {Combinatorics, Probability, and Computing 4 (1995),
133142},
Key = {fds8775}
}
@article{fds8779,
Author = {Gregory F. Lawler},
Title = {Nonintersecting planar Brownian motions},
Journal = {Mathematical Physics Electronic Journal 1 (1995),
#4},
Key = {fds8779}
}
@article{fds9112,
Author = {Gregory F. Lawler},
Title = {Random walks: simple and selfavoiding},
Journal = {Topics in Comtemporary Probability and its Applications, J.
Laurie Snell, ed., CRC (1995), 5574},
Key = {fds9112}
}
@article{fds8774,
Author = {Gregory F. Lawler},
Title = {Random walks, harmonic measure, and Laplacian growth
models},
Journal = {Probability and Phase Transitions, ed. G. Grimmett, Kluwer
(1994), 191208},
Key = {fds8774}
}
@article{fds9116,
Author = {Gregory F. Lawler and Thomas Polaski},
Title = {Harnack inequalities and difference estimates for random
walks with infinite range},
Journal = {Journal of Theoretical Probability, 6 (1993),
781802},
Key = {fds9116}
}
@article{fds9117,
Author = {Gregory F. Lawler},
Title = {On the covering time of a disc by simple random walk in two
dimensions},
Journal = {Seminar on Stochastic Processes, 1992, Birkh\"auserBoston
(1993), 189208},
Key = {fds9117}
}
@article{fds9118,
Author = {Bertrand Duplantier and Gregory F. Lawler and JeanFrancois Le
Gall and Terry Lyons},
Title = {The geometry ofthe Brownian curve},
Journal = {Bull. Sci. Math, 2eme serie, 117 (1993),
91106},
Key = {fds9118}
}
@article{fds9119,
Author = {Gregory F. Lawler},
Title = {A discrete analogue of a theorem of Makarov},
Journal = {Combinatorics, Probability, and Computing 2 (1993),
181200},
Key = {fds9119}
}
@article{fds9110,
Author = {Harry Kesten and Gregory F. Lawler},
Title = {A necessary condition for making money from fair
games},
Journal = {Annals of Probability 20 (1992), 855882},
Key = {fds9110}
}
@article{fds9113,
Author = {Gregory F. Lawler and Maury Bramson and David
Griffeath},
Title = {Internal diffusion limited aggregation},
Journal = {Annals of Probability 20 (1992), 21172140},
Key = {fds9113}
}
@article{fds9114,
Author = {Gregory F. Lawler},
Title = {Escape probabilities for slowly recurrent
sets},
Journal = {Probability Theory and Related Fields 94 (1992),
91117},
Key = {fds9114}
}
@article{fds9115,
Author = {Gregory F. Lawler},
Title = {$L$shapes for the logarithmic $\eta$model for DLA in three
dimensions},
Journal = {Seminar on Stochastic Processes, 1991, Birkh\"auserBoston
(1992), 97122},
Key = {fds9115}
}
@article{fds9099,
Author = {Gregory F. Lawler},
Title = {Estimates for differences and Harnack's inequality for
difference operators coming from random walks with
symmetric, spatially inhomogeneous increments},
Journal = {Proceedings of London Mathematical Society 63 (1991),
552568},
Key = {fds9099}
}
@article{fds9108,
Author = {Gregory F. Lawler},
Title = {Intersection probabilities for random walks},
Journal = {Mathematics of Random Media, AMS Lectures in Applied
Mathematics 27 (1991), 7386},
Key = {fds9108}
}
@article{fds9109,
Author = {Richard Durrett and Harry Kesten and Gregory F.
Lawler},
Title = {Making money from fair games},
Journal = {Random Walks, Brownian Motion and Interacting Particle
Systems, Birkh\"auser, Boston (1991), 255267},
Key = {fds9109}
}
@article{fds9111,
Author = {Gregory F. Lawler},
Title = {Problems on the geometry of random walk paths},
Journal = {Probability Models in Mathematical Physics, World Scientific
(1991), 135143},
Key = {fds9111}
}
@article{fds9101,
Author = {Krzysztof Burdzy and Gregory F. Lawler},
Title = {Nonintersection exponents for random walk and Brownian
motion. Part I: Existence and an invariance
principle},
Journal = {Probability Theory and Related Fields 84 (1990),
393410},
Key = {fds9101}
}
@article{fds9102,
Author = {Krzysztof Burdzy and Gregory F. Lawler},
Title = {Nonintersection exponents for random walk and Brownian
motion. Part II: Estimates and applications to a random
fractal},
Journal = {Annals of Probability 18 (1990), 9811009},
Key = {fds9102}
}
@article{fds9105,
Author = {Gregory F. Lawler},
Title = {The Edwards model and the weakly selfavoiding
walk},
Journal = {Journal of Physics A 23 (1990), 14671470#},
Key = {fds9105}
}
@article{fds9106,
Author = {Krzysztof Burdzy and Gregory F. Lawler},
Title = {Rigorous exponent inequalities for random
walks},
Journal = {Journal of Physics A 23 (1990), L23L28},
Key = {fds9106}
}
@article{fds9107,
Author = {J. Roerdink and K. Shuler and Gregory F. Lawler},
Title = {Diffusion in lattices with anisotropic scatterers},
Journal = {Journal of Statistical Physics 59 (1990) ,
2352},
Key = {fds9107}
}
@article{fds9093,
Author = {Gregory F. Lawler},
Title = {Low density estimates for a twostate random walk in random
environment},
Journal = {Journal of Mathematical Physics 30 (1989),
145157},
Key = {fds9093}
}
@article{fds9096,
Author = {Gregory F. Lawler and John Sylvester},
Title = {Determining resistances from boundary measurements in finite
networks},
Journal = {SIAM Journal on Discrete Mathematics 2 (1989),
231239},
Key = {fds9096}
}
@article{fds9097,
Author = {Gregory F. Lawler},
Title = {The infinite selfavoiding walk in high dimensions},
Journal = {Annals of Probability 17 (1989), 13671376},
Key = {fds9097}
}
@article{fds9098,
Author = {Gregory F. Lawler},
Title = {Intersections of random walks with random
sets},
Journal = {Israel Journal of Mathematics 65 (1989),
113132},
Key = {fds9098}
}
@article{fds9100,
Author = {Krzysztof Burdzy and Gregory F. Lawler and Thomas
Polaski},
Title = {On the critical exponent for random walk
intersections},
Journal = {Journal of Statistical Physics { 56 (1989),
112},
Key = {fds9100}
}
@article{fds9103,
Author = {Joe Blum and Gregory F. Lawler and Michael Reed and Insun
Shin},
Title = {The effect of cytoskeletal geometry on intracellular
diffusion},
Journal = {Biophysical Journal 56 (1989), 9951005},
Key = {fds9103}
}
@article{fds9094,
Author = {Gregory F. Lawler},
Title = {Looperased selfavoiding random walk in two and three
dimensions},
Journal = {Journal of Statistical Physics 50 (1988),
91108},
Key = {fds9094}
}
@article{fds9095,
Author = {Gregory F. Lawler and Alan Sokal},
Title = {Bounds on the L_2 spectrum for Markov chains and Markov
processes: a generalization of Cheeger's
inequality},
Journal = {Trans. Amer. Math. Soc. 309 (1988), 557580.},
Key = {fds9095}
}
@article{fds9420,
Author = {Gregory F. Lawler},
Title = {Looperased selfavoiding random walk and the Laplacian
random walk},
Journal = {Journal of Physics A. 20 (1987), 45654568},
Key = {fds9420}
}
@article{fds9089,
Author = {Gregory F. Lawler},
Title = {Expected hitting time for a random walk on a connected
graph},
Journal = {Discrete Mathematics 61 (1986), 8592},
Key = {fds9089}
}
@article{fds9092,
Author = {Gregory F. Lawler},
Title = {Gaussian behavior of looperased selfavoiding random walk
in four dimensions},
Journal = {Duke Mathematical Journal 53 (1986), 249270},
Key = {fds9092}
}
@article{fds9090,
Author = {Gregory F. Lawler},
Title = {Intersections of random walks in four dimensions
II},
Journal = {Comm. Math. Phys. 97 (1985), 583594},
Key = {fds9090}
}
@article{fds9091,
Author = {Gregory F. Lawler},
Title = {Intersections of simple random walks},
Journal = {AMS Contemporary Mathematics 41 (1985), 281289},
Key = {fds9091}
}
@article{fds9085,
Author = {Gregory F. Lawler and Robert Vanderbei},
Title = {Markov strategies for optimal control problems indexed by a
partially ordered set},
Journal = {Annals of Prob. 11 (1983), 642647},
Key = {fds9085}
}
@article{fds9086,
Author = {Gregory F. Lawler},
Title = {A discrete stochastic integral inequality and balanced
random walk in a random environment},
Journal = {Duke Mathematical Journal 50 (1983), 12611274},
Key = {fds9086}
}
@article{fds9088,
Author = {Gregory F. Lawler},
Title = {A connective constant for looperased selfavoiding random
walk},
Journal = {J. Appl. Prob. 20 (1983), 264276},
Key = {fds9088}
}
@article{fds9084,
Author = {Gregory F. Lawler},
Title = {The probability of intersection of independent random walks
in four dimensions},
Journal = {Commun. Math.Phys 86 (1982), 539554},
Key = {fds9084}
}
@article{fds9087,
Author = {Gregory F. Lawler},
Title = {Weak convergence of a random walk in a random
environment},
Journal = {Commun. Math. Phys. 87 (1982), 8187},
Key = {fds9087}
}
@article{fds9083,
Author = {Gregory F. Lawler},
Title = {A selfavoiding random walk},
Journal = {Duke Mathematical Journal 47 (1980), 655694.},
Key = {fds9083}
}
%% Papers Accepted
@article{fds9849,
Author = {Gregory F. Lawler and Oded Schramm and Wendelin
Werner},
Title = {Sharp estimates for Brownian nonintersection
probabilities},
Journal = {to appear in In and Out of Equilbrium, Birkhauser},
url = {http://arxiv.org/abs/math/0101247},
Key = {fds9849}
}
@article{fds9798,
Author = {Gregory F. Lawler and Oded Schramm and Wendelin
Werner},
Title = {Analyticity of intersection exponents for planar Brownian
motion},
Journal = {Acta Math.},
url = {http://arxiv.org/abs/math/0005295},
Key = {fds9798}
}
@article{fds9668,
Author = {Gregory F. Lawler},
Title = {Cut times for Brownian motion and random
walk},
Journal = {Proceedings of Conference in Honor of Paul
Erdos},
url = {http://www.math.duke.edu/~jose/erdos.html},
Abstract = {For the Proceedings of the Erdos Memorial Conference, July,
1999, Budapest},
Key = {fds9668}
}
%% Preprints
@article{fds10211,
Author = {Gregory F. Lawler and Oded Schramm and Wendelin
Werner},
Title = {On the scaling limit of planar selfavoiding
walk},
url = {http://arxiv.org/abs/math/0204277},
Key = {fds10211}
}
@article{fds10186,
Author = {Gregory F. Lawler and Oded Scrhamm and Wendelin
Werner},
Title = {Conformal invariance of planar looperased random walk and
uniform spanning trees},
url = {http://arxiv.org/abs/math/0112234},
Key = {fds10186}
}
@article{fds9827,
Author = {Gregory F. Lawler},
Title = {An introduction to the stochastic Loewner
evolution},
url = {http://www.math.duke.edu/~jose/esi.html},
Key = {fds9827}
}
@article{fds9041,
Author = {Gregory F. Lawler},
Title = {A note on the Green's function for random walk in four
dimensions},
Journal = {Duke University Math Preprint 9403},
Key = {fds9041}
}
@article{fds9043,
Author = {Gregory F. Lawler},
Title = {The frontier of a Brownian path is multifractal},
Journal = {preprint},
Key = {fds9043}
}
%% Book Reviews
@article{fds9250,
Author = {Gregory F. Lawler},
Title = {SelfAvoiding Walk (N. Madras and G. Slade)},
Journal = {Annals of Probability 27 (1999), 606609},
Key = {fds9250}
}
@article{fds9252,
Author = {Gregory F. Lawler},
Title = {Aspects and Applications of Random Walk (G.
Weiss)},
Journal = {SIAM Review \bf 37 (1995) 470471},
Key = {fds9252}
}
@article{fds9251,
Author = {Gregory F. Lawler},
Title = {Random Walks, Brownian Motion, and Interacting Particle
Systems, a Festschrift for Frank Spitzer (R. Durrett, H.
Kesten, ed.)},
Journal = {Metrika 41 (1994) 254255},
Key = {fds9251}
}
