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## Lawler, Gregory Francis

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 Author ID: lawler.gregory-f Published as: Lawler, G.; Lawler, G. F.; Lawler, Gregory; Lawler, Gregory F. Homepage: https://math.uchicago.edu/~lawler/ External Links: MGP · Wikidata · dblp · GND Awards: Wolf Prize (2019)
 Documents Indexed: 128 Publications since 1980, including 12 Books
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#### Co-Authors

 65 single-authored 14 Werner, Wendelin 11 Schramm, Oded 5 Burdzy, Krzysztof 4 Viklund, Fredrik Johansson 3 Kozdron, Michael J. 2 Beneš, Christian 2 Field, Laurence S. 2 Kennedy, Tom 2 Kesten, Harry 2 Limic, Vlada 2 Narayanan, Hariharan 2 Polaski, Thomas W. 2 Puckette, Emily E. 2 Rezaei, Mohammad Abbas 1 Alberts, Tom 1 Alvisio, Marcelo 1 Beaton, Nicholas R. 1 Bender, Edward A. 1 Bovier, Anton 1 Bramson, Maury D. 1 Brydges, David C. 1 Coja-Oghlan, Amin 1 Coyle, Lester N. 1 Duplantier, Bertrand 1 Durrett, Richard Timothy 1 Dyhr, Ben 1 Ferreras, José A. Trujillo 1 Gilbert, Michael G. 1 Griffeath, David 1 Grimmett, Geoffrey R. 1 Guttmann, Anthony John 1 Ioffe, Dmitry 1 Jahangoshahi, Mohammad 1 Jensen, Iwan 1 Lalley, Steven P. 1 Le Gall, Jean-François 1 Lind, Joan R. 1 Lyons, Terence John 1 Panov, Petr Alekseevich 1 Passon, Shane 1 Pemantle, Robin 1 Perlman, Jacob 1 Roerdink, Jos B. T. M. 1 Sheffield, Scott 1 Shuler, Kurt E. 1 Sokal, Alan D. 1 Sun, Xin 1 Sylvester, John Herbert 1 Vanderbei, Robert Joseph 1 Vermesi, Brigitta Vermesi 1 Werness, Brent Morehouse 1 Wilf, Herbert S. 1 Wu, Wei 1 Zhou, Wang
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#### Serials

 13 The Annals of Probability 9 Electronic Journal of Probability 7 Journal of Statistical Physics 6 Electronic Communications in Probability 4 Acta Mathematica 4 Duke Mathematical Journal 4 Probability Theory and Related Fields 3 Communications in Mathematical Physics 3 Combinatorics, Probability and Computing 2 Israel Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Mathematical Research Letters 2 Mathematical Physics Electronic Journal 2 Student Mathematical Library 2 Journal of Physics A: Mathematical and Theoretical 2 Probability Surveys 2 Probability and its Applications 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Metrika 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Illinois Journal of Mathematics 1 Journal of Applied Probability 1 Journal of the Mathematical Society of Japan 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 Journal of Physics A: Mathematical and General 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 The Journal of Fourier Analysis and Applications 1 Séminaire Lotharingien de Combinatoire 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of the European Mathematical Society (JEMS) 1 Cambridge Studies in Advanced Mathematics 1 Lecture Notes in Mathematics 1 Mathematical Surveys and Monographs 1 ICPT Lecture Notes 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Modern Birkhäuser Classics
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#### Fields

 121 Probability theory and stochastic processes (60-XX) 44 Statistical mechanics, structure of matter (82-XX) 9 Functions of a complex variable (30-XX) 7 Measure and integration (28-XX) 6 Quantum theory (81-XX) 4 Potential theory (31-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

115 Publications have been cited 2,465 times in 1,181 Documents Cited by Year
Random walk: A modern introduction. Zbl 1210.60002
2010
Intersections of random walks. Zbl 1228.60004
Lawler, Gregory F.
1991
Conformally invariant processes in the plane. Zbl 1074.60002
Lawler, Gregory F.
2005
Conformal invariance of planar loop-erased random walks and uniform spanning trees. Zbl 1126.82011
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2004
Conformal restriction: The chordal case. Zbl 1030.60096
Lawler, Gregory; Schramm, Oded; Werner, Wendelin
2003
Values of Brownian intersection exponents. I: Half-plane exponents. Zbl 1005.60097
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2001
Values of Brownian intersection exponents. II: Plane exponents. Zbl 0993.60083
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2001
Bounds on the $$L^ 2$$ spectrum for Markov chains and Markov processes: A generalization of Cheeger’s inequality. Zbl 0716.60073
Lawler, Gregory F.; Sokal, Alan D.
1988
The Brownian loop soup. Zbl 1049.60072
Lawler, Gregory F.; Werner, Wendelin
2004
On the scaling limit of planar self-avoiding walk. Zbl 1069.60089
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2004
A self-avoiding random walk. Zbl 0445.60058
Lawler, Gregory F.
1980
One-arm exponent for critical 2D percolation. Zbl 1015.60091
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2002
Values of Brownian intersection exponents. III: Two-sided exponents. Zbl 1006.60075
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2002
Internal diffusion limited aggregation. Zbl 0762.60096
Lawler, Gregory F.; Bramson, Maury; Griffeath, David
1992
Weak convergence of a random walk in a random environment. Zbl 0502.60056
Lawler, Gregory F.
1982
Random walk loop soup. Zbl 1120.60037
Lawler, Gregory F.; Trujillo Ferreras, José A.
2007
Intersections of random walks. Zbl 0925.60078
Lawler, Gregory F.
1996
Introduction to stochastic processes. 2nd ed. Zbl 1105.60003
Lawler, Gregory F.
2006
The configurational measure on mutually avoiding SLE paths. Zbl 1133.60023
Kozdron, Michael J.; Lawler, Gregory F.
2007
Minkowski content and natural parameterization for the Schramm-Loewner evolution. Zbl 1331.60165
Lawler, Gregory F.; Rezaei, Mohammad A.
2015
A natural parametrization for the Schramm-Loewner evolution. Zbl 1234.60087
Lawler, Gregory F.; Sheffield, Scott
2011
Universality for conformally invariant intersection exponents. Zbl 1098.60081
Lawler, Gregory F.; Werner, Wendelin
2000
Almost sure multifractal spectrum for the tip of an SLE curve. Zbl 1271.82007
Viklund, Fredrik Johansson; Lawler, Gregory F.
2012
Analyticity of intersection exponents for planar Brownian motion. Zbl 1024.60033
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2002
Markov strategies for optimal control problems indexed by a partially ordered set. Zbl 0519.60042
Lawler, G. F.; Vanderbei, R. J.
1983
The probability of intersection of independent random walks in four dimensions. Zbl 0502.60057
Lawler, Gregory F.
1982
The dimension of the planar Brownian frontier is $$4/3$$. Zbl 1114.60316
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2001
SLE curves and natural parametrization. Zbl 1288.60098
Lawler, Gregory F.; Zhou, Wang
2013
Schramm-Loewner evolution (SLE). Zbl 1180.82002
Lawler, G.
2009
Subdiffusive fluctuations for internal diffusion limited aggregation. Zbl 0835.60086
Lawler, Gregory F.
1995
Optimal Hölder exponent for the SLE path. Zbl 1230.60086
Lawler, Gregory F.; Viklund, Fredrik Johansson
2011
Intersection probabilities for random walks. Zbl 0735.60071
Lawler, Gregory F.
1991
Hausdorff dimension of cut points for Brownian motion. Zbl 0891.60078
Lawler, Gregory F.
1996
The logarithmic correction for loop-erased walk in four dimensions. Zbl 0889.60075
Lawler, Gregory F.
1995
Nonintersection exponents for Brownian paths. II: Estimates and applications to a random fractal. Zbl 0719.60085
Burdzy, Krzysztof; Lawler, Gregory F.
1990
Multi-point Green’s functions for SLE and an estimate of Beffara. Zbl 1277.60134
Lawler, Gregory F.; Werness, Brent M.
2013
Multifractal analysis of the reverse flow for the Schramm-Loewner evolution. Zbl 1191.60095
Lawler, Gregory F.
2009
Partition functions, loop measure, and versions of SLE. Zbl 1168.82006
Lawler, Gregory F.
2009
Loop-erased random walk. Zbl 0947.60055
Lawler, Gregory F.
1999
The Laplacian-$$b$$ random walk and the Schramm-Loewner evolution. Zbl 1128.60069
Lawler, Gregory F.
2006
Intersection exponents for planar Brownian motion. Zbl 0965.60071
Lawler, Gregory F.; Werner, Wendelin
1999
Cut times for simple random walk. Zbl 0888.60059
Lawler, Gregory F.
1996
Intersections of random walks in four dimensions. II. Zbl 0585.60069
Lawler, Gregory F.
1985
Scaling limit of the loop-erased random walk Green’s function. Zbl 1362.82026
Beneš, Christian; Lawler, Gregory F.; Viklund, Fredrik
2016
Intersections of random walks. Reprint of the 1996 ed. Zbl 1253.60003
Lawler, Gregory F.
2013
Geometric interpretation of half-plane capacity. Zbl 1191.60094
Lalley, Steven P.; Lawler, Gregory F.; Narayanan, Hariharan
2009
Estimates of random walk exit probabilities and application to loop-erased random walk. Zbl 1110.60046
Kozdron, Michael J.; Lawler, Gregory F.
2005
An introduction to the stochastic Loewner evolution. Zbl 1061.60107
Lawler, Gregory F.
2004
The dimension of the frontier of planar Brownian motion. Zbl 0857.60083
Lawler, G.
1996
Non-intersection exponents for Brownian paths. Part I: Existence and an invariance principle. Zbl 0685.60080
Burdzy, Krzysztof; Lawler, Gregory F.
1990
Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line. Zbl 1362.60069
Lawler, Gregory F.
2015
Introduction to stochastic processes. Zbl 0839.60001
Lawler, Gregory F.
1995
Estimates for differences and Harnack inequality for difference operators coming from random walks with symmetric, spatially inhomogeneous increments. Zbl 0774.39004
Lawler, Gregory F.
1991
Expected hitting times for a random walk on a connected graph. Zbl 0599.60012
Lawler, Gregory F.
1986
The probability that planar loop-erased random walk uses a given edge. Zbl 1303.82027
Lawler, Gregory F.
2014
The self-avoiding walk spanning a strip. Zbl 1226.82024
Dyhr, Ben; Gilbert, Michael; Kennedy, Tom; Lawler, Gregory F.; Passon, Shane
2011
Strict concavity of the intersection exponent for Brownian motion in two and three dimensions. Zbl 0909.60065
Lawler, Gregory F.
1998
The Beurling estimate for a class of random walks. Zbl 1063.60066
2004
Sharp estimates for Brownian non-intersection probabilities. Zbl 1011.60062
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2002
The intersection exponent for simple random walk. Zbl 0974.60088
Lawler, Gregory F.; Puckette, Emily E.
2000
Geometric and fractal properties of Brownian motion and random walk paths in two and three dimensions. Zbl 0955.60076
Lawler, Gregory F.
1999
A discrete analogue of a theorem of Makarov. Zbl 0799.60062
Lawler, Gregory F.
1993
Making money from fair games. Zbl 0746.60044
Durrett, R.; Kesten, H.; Lawler, G.
1991
Intersections of random walks with random sets. Zbl 0679.60071
Lawler, Gregory F.
1989
Compressed self-avoiding walks, bridges and polygons. Zbl 1332.82052
Beaton, Nicholas R.; Guttmann, Anthony J.; Jensen, Iwan; Lawler, Gregory F.
2015
The Green function for the radial Schramm-Loewner evolution. Zbl 1263.82038
Alberts, Tom; Kozdron, Michael J.; Lawler, Gregory F.
2012
Harnack inequalities and difference estimates for random walks with infinite range. Zbl 0797.60056
Lawler, Gregory F.; Polaski, Thomas W.
1993
Escape probabilities for slowly recurrent sets. Zbl 0767.60062
Lawler, Gregory F.
1992
A necessary condition for making money from fair games. Zbl 0758.60067
Kesten, Harry; Lawler, Gregory F.
1992
Estimates for differences and Harnack inequality for difference operators coming from random walks with symmetric, spatially inhomogeneous increments. Zbl 0701.39002
Lawler, Gregory F.
1991
The infinite self-avoiding walk in high dimensions. Zbl 0691.60062
Lawler, Gregory F.
1989
Gaussian behavior of loop-erased self-avoiding random walk in four dimensions. Zbl 0664.60068
Lawler, Gregory F.
1986
A connective constant for loop-erased self-avoiding random walk. Zbl 0517.60076
Lawler, Gregory F.
1983
Continuity of radial and two-sided radial $$\mathrm{SLE}$$ at the terminal point. Zbl 1321.60164
Lawler, Gregory F.
2013
Fast convergence to an invariant measure for non-intersecting 3-dimensional Brownian paths. Zbl 1290.60080
Lawler, Gregory F.; Vermesi, Brigitta Vermesi
2012
Random walk and the heat equation. Zbl 1213.60001
Lawler, Gregory F.
2010
Conformal invariance and $$2D$$ statistical physics. Zbl 1154.82009
Lawler, Gregory F.
2009
The disconnection exponent for simple random walk. Zbl 0958.60048
Lawler, Gregory F.; Puckette, Emily E.
1997
The geometry of the Brownian curve. Zbl 0778.60058
Duplantier, B.; Lawler, G. F.; Le Gall, J.-F.; Lyons, T. J.
1993
On the critical exponent for random walk intersections. Zbl 0714.60057
Burdzy, Krzysztof; Lawler, Gregory F.; Polaski, Thomas
1989
Low-density expansion for a two-state random walk in a random environment. Zbl 0661.60085
Lawler, Gregory F.
1989
A discrete stochastic integral inequality and balanced random walk in a random environment. Zbl 0569.60071
Lawler, Gregory F.
1983
Topics in loop measures and the loop-erased walk. Zbl 1390.60301
Lawler, Gregory F.
2018
Escape probability and transience for SLE. Zbl 1321.60163
Field, Laurence S.; Lawler, Gregory F.
2015
Lectures on contemporary probability. Zbl 0940.60001
Lawler, Gregory F.; Coyle, Lester N.
1999
Nonintersecting planar Brownian motions. Zbl 0846.60077
Lawler, Gregory F.
1995
Recurrence and transience for a card shuffling model. Zbl 0837.60062
Lawler, Gregory F.
1995
On the covering time of a disc by simple random walk in two dimensions. Zbl 0789.60019
Lawler, Gregory F.
1992
Rigorous exponent inequalities for random walks. Zbl 0716.60080
Burdzy, Krzysztof; Lawler, Gregory F.
1990
Up-to-constants bounds on the two-point Green’s function for SLE curves. Zbl 1325.60136
Lawler, Gregory F.; Rezaei, Mohammad Abbas
2015
Four-dimensional loop-erased random walk. Zbl 1458.60054
Lawler, Gregory; Sun, Xin; Wu, Wei
2019
On the smoothness of the partition function for multiple Schramm-Loewner evolutions. Zbl 1403.60070
2018
Random walk problems motivated by statistical physics. Zbl 1388.60164
Lawler, Gregory F.
2016
Loop measures and the Gaussian free field. Zbl 1338.60234
Lawler, Gregory F.; Perlman, Jacob
2015
Lattice effects in the scaling limit of the two-dimensional self-avoiding walk. Zbl 1321.82023
Kennedy, Tom; Lawler, Gregory F.
2013
Reversed radial SLE and the Brownian loop measure. Zbl 1276.60091
Field, Laurence S.; Lawler, Gregory F.
2013
Scaling limits and the Schramm-Loewner evolution. Zbl 1245.60078
Lawler, Gregory F.
2011
Comments on Edward Nelson’s “Internal set theory: a new approach to nonstandard analysis”. Zbl 1435.03082
Lawler, Gregory F.
2011
Irreducible compositions and the first return to the origin of a random walk. Zbl 1064.60014
Bender, Edward A.; Lawler, Gregory F.; Pemantle, Robin; Wilf, Herbert S.
2003
Cut times for Brownian motion and random walk. Zbl 1041.60064
Lawler, G. F.
2002
The infinite two-sided loop-erased random walk. Zbl 1459.60204
Lawler, Gregory F.
2020
Four-dimensional loop-erased random walk. Zbl 1458.60054
Lawler, Gregory; Sun, Xin; Wu, Wei
2019
Topics in loop measures and the loop-erased walk. Zbl 1390.60301
Lawler, Gregory F.
2018
On the smoothness of the partition function for multiple Schramm-Loewner evolutions. Zbl 1403.60070
2018
Scaling limit of the loop-erased random walk Green’s function. Zbl 1362.82026
Beneš, Christian; Lawler, Gregory F.; Viklund, Fredrik
2016
Random walk problems motivated by statistical physics. Zbl 1388.60164
Lawler, Gregory F.
2016
Minkowski content and natural parameterization for the Schramm-Loewner evolution. Zbl 1331.60165
Lawler, Gregory F.; Rezaei, Mohammad A.
2015
Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line. Zbl 1362.60069
Lawler, Gregory F.
2015
Compressed self-avoiding walks, bridges and polygons. Zbl 1332.82052
Beaton, Nicholas R.; Guttmann, Anthony J.; Jensen, Iwan; Lawler, Gregory F.
2015
Escape probability and transience for SLE. Zbl 1321.60163
Field, Laurence S.; Lawler, Gregory F.
2015
Up-to-constants bounds on the two-point Green’s function for SLE curves. Zbl 1325.60136
Lawler, Gregory F.; Rezaei, Mohammad Abbas
2015
Loop measures and the Gaussian free field. Zbl 1338.60234
Lawler, Gregory F.; Perlman, Jacob
2015
The probability that planar loop-erased random walk uses a given edge. Zbl 1303.82027
Lawler, Gregory F.
2014
SLE curves and natural parametrization. Zbl 1288.60098
Lawler, Gregory F.; Zhou, Wang
2013
Multi-point Green’s functions for SLE and an estimate of Beffara. Zbl 1277.60134
Lawler, Gregory F.; Werness, Brent M.
2013
Intersections of random walks. Reprint of the 1996 ed. Zbl 1253.60003
Lawler, Gregory F.
2013
Continuity of radial and two-sided radial $$\mathrm{SLE}$$ at the terminal point. Zbl 1321.60164
Lawler, Gregory F.
2013
Lattice effects in the scaling limit of the two-dimensional self-avoiding walk. Zbl 1321.82023
Kennedy, Tom; Lawler, Gregory F.
2013
Reversed radial SLE and the Brownian loop measure. Zbl 1276.60091
Field, Laurence S.; Lawler, Gregory F.
2013
Almost sure multifractal spectrum for the tip of an SLE curve. Zbl 1271.82007
Viklund, Fredrik Johansson; Lawler, Gregory F.
2012
The Green function for the radial Schramm-Loewner evolution. Zbl 1263.82038
Alberts, Tom; Kozdron, Michael J.; Lawler, Gregory F.
2012
Fast convergence to an invariant measure for non-intersecting 3-dimensional Brownian paths. Zbl 1290.60080
Lawler, Gregory F.; Vermesi, Brigitta Vermesi
2012
Fractal and multifractal properties of Schramm-Loewner evolution. Zbl 1317.60003
Lawler, Gregory F.
2012
A natural parametrization for the Schramm-Loewner evolution. Zbl 1234.60087
Lawler, Gregory F.; Sheffield, Scott
2011
Optimal Hölder exponent for the SLE path. Zbl 1230.60086
Lawler, Gregory F.; Viklund, Fredrik Johansson
2011
The self-avoiding walk spanning a strip. Zbl 1226.82024
Dyhr, Ben; Gilbert, Michael; Kennedy, Tom; Lawler, Gregory F.; Passon, Shane
2011
Scaling limits and the Schramm-Loewner evolution. Zbl 1245.60078
Lawler, Gregory F.
2011
Comments on Edward Nelson’s “Internal set theory: a new approach to nonstandard analysis”. Zbl 1435.03082
Lawler, Gregory F.
2011
Random walk: A modern introduction. Zbl 1210.60002
2010
Random walk and the heat equation. Zbl 1213.60001
Lawler, Gregory F.
2010
Schramm-Loewner evolution (SLE). Zbl 1180.82002
Lawler, G.
2009
Multifractal analysis of the reverse flow for the Schramm-Loewner evolution. Zbl 1191.60095
Lawler, Gregory F.
2009
Partition functions, loop measure, and versions of SLE. Zbl 1168.82006
Lawler, Gregory F.
2009
Geometric interpretation of half-plane capacity. Zbl 1191.60094
Lalley, Steven P.; Lawler, Gregory F.; Narayanan, Hariharan
2009
Conformal invariance and $$2D$$ statistical physics. Zbl 1154.82009
Lawler, Gregory F.
2009
Mixing times and $$\ell_p$$ bounds for oblivious routing. Zbl 1430.90546
Lawler, Gregory; Narayanan, Hariharan
2009
Random walk loop soup. Zbl 1120.60037
Lawler, Gregory F.; Trujillo Ferreras, José A.
2007
The configurational measure on mutually avoiding SLE paths. Zbl 1133.60023
Kozdron, Michael J.; Lawler, Gregory F.
2007
Two-sided $$\mathrm{SLE}_{8/3}$$ and the infinite self-avoiding polygon. Zbl 1133.60036
Lawler, Gregory F.; Lind, Joan R.
2007
Introduction to stochastic processes. 2nd ed. Zbl 1105.60003
Lawler, Gregory F.
2006
The Laplacian-$$b$$ random walk and the Schramm-Loewner evolution. Zbl 1128.60069
Lawler, Gregory F.
2006
Conformally invariant processes in the plane. Zbl 1074.60002
Lawler, Gregory F.
2005
Estimates of random walk exit probabilities and application to loop-erased random walk. Zbl 1110.60046
Kozdron, Michael J.; Lawler, Gregory F.
2005
Conformal invariance of planar loop-erased random walks and uniform spanning trees. Zbl 1126.82011
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2004
The Brownian loop soup. Zbl 1049.60072
Lawler, Gregory F.; Werner, Wendelin
2004
On the scaling limit of planar self-avoiding walk. Zbl 1069.60089
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2004
An introduction to the stochastic Loewner evolution. Zbl 1061.60107
Lawler, Gregory F.
2004
The Beurling estimate for a class of random walks. Zbl 1063.60066
2004
Conformally invariant processes in the plane. Zbl 1152.60343
Lawler, Gregory F.
2004
Conformal restriction: The chordal case. Zbl 1030.60096
Lawler, Gregory; Schramm, Oded; Werner, Wendelin
2003
Irreducible compositions and the first return to the origin of a random walk. Zbl 1064.60014
Bender, Edward A.; Lawler, Gregory F.; Pemantle, Robin; Wilf, Herbert S.
2003
One-arm exponent for critical 2D percolation. Zbl 1015.60091
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2002
Values of Brownian intersection exponents. III: Two-sided exponents. Zbl 1006.60075
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2002
Analyticity of intersection exponents for planar Brownian motion. Zbl 1024.60033
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2002
Sharp estimates for Brownian non-intersection probabilities. Zbl 1011.60062
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2002
Cut times for Brownian motion and random walk. Zbl 1041.60064
Lawler, G. F.
2002
Values of Brownian intersection exponents. I: Half-plane exponents. Zbl 1005.60097
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2001
Values of Brownian intersection exponents. II: Plane exponents. Zbl 0993.60083
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2001
The dimension of the planar Brownian frontier is $$4/3$$. Zbl 1114.60316
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2001
The dimension of the planar Brownian frontier is $$4/3$$. Zbl 0993.60085
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin
2001
Universality for conformally invariant intersection exponents. Zbl 1098.60081
Lawler, Gregory F.; Werner, Wendelin
2000
The intersection exponent for simple random walk. Zbl 0974.60088
Lawler, Gregory F.; Puckette, Emily E.
2000
Strict concavity of the half plane intersection exponent for planar Brownian motion. Zbl 0954.60061
Lawler, Gregory F.
2000
Loop-erased random walk. Zbl 0947.60055
Lawler, Gregory F.
1999
Intersection exponents for planar Brownian motion. Zbl 0965.60071
Lawler, Gregory F.; Werner, Wendelin
1999
Geometric and fractal properties of Brownian motion and random walk paths in two and three dimensions. Zbl 0955.60076
Lawler, Gregory F.
1999
Lectures on contemporary probability. Zbl 0940.60001
Lawler, Gregory F.; Coyle, Lester N.
1999
Multifractal nature of two dimensional simple random walk paths. Zbl 0962.60020
Lawler, Gregory F.
1999
A lower bound on the growth exponent for loop-erased random walk in two dimensions. Zbl 0926.60041
Lawler, Gregory F.
1999
Strict concavity of the intersection exponent for Brownian motion in two and three dimensions. Zbl 0909.60065
Lawler, Gregory F.
1998
The disconnection exponent for simple random walk. Zbl 0958.60048
Lawler, Gregory F.; Puckette, Emily E.
1997
Intersections of random walks. Zbl 0925.60078
Lawler, Gregory F.
1996
Hausdorff dimension of cut points for Brownian motion. Zbl 0891.60078
Lawler, Gregory F.
1996
Cut times for simple random walk. Zbl 0888.60059
Lawler, Gregory F.
1996
The dimension of the frontier of planar Brownian motion. Zbl 0857.60083
Lawler, G.
1996
Subdiffusive fluctuations for internal diffusion limited aggregation. Zbl 0835.60086
Lawler, Gregory F.
1995
The logarithmic correction for loop-erased walk in four dimensions. Zbl 0889.60075
Lawler, Gregory F.
1995
Introduction to stochastic processes. Zbl 0839.60001
Lawler, Gregory F.
1995
Nonintersecting planar Brownian motions. Zbl 0846.60077
Lawler, Gregory F.
1995
Recurrence and transience for a card shuffling model. Zbl 0837.60062
Lawler, Gregory F.
1995
Random walks: Simple and self-avoiding. Zbl 0866.60059
Lawler, Gregory F.
1995
A discrete analogue of a theorem of Makarov. Zbl 0799.60062
Lawler, Gregory F.
1993
Harnack inequalities and difference estimates for random walks with infinite range. Zbl 0797.60056
Lawler, Gregory F.; Polaski, Thomas W.
1993
The geometry of the Brownian curve. Zbl 0778.60058
Duplantier, B.; Lawler, G. F.; Le Gall, J.-F.; Lyons, T. J.
1993
Internal diffusion limited aggregation. Zbl 0762.60096
Lawler, Gregory F.; Bramson, Maury; Griffeath, David
1992
Escape probabilities for slowly recurrent sets. Zbl 0767.60062
Lawler, Gregory F.
1992
A necessary condition for making money from fair games. Zbl 0758.60067
Kesten, Harry; Lawler, Gregory F.
1992
On the covering time of a disc by simple random walk in two dimensions. Zbl 0789.60019
Lawler, Gregory F.
1992
Intersections of random walks. Zbl 1228.60004
Lawler, Gregory F.
1991
Intersection probabilities for random walks. Zbl 0735.60071
Lawler, Gregory F.
1991
Estimates for differences and Harnack inequality for difference operators coming from random walks with symmetric, spatially inhomogeneous increments. Zbl 0774.39004
Lawler, Gregory F.
1991
Making money from fair games. Zbl 0746.60044
Durrett, R.; Kesten, H.; Lawler, G.
1991
Estimates for differences and Harnack inequality for difference operators coming from random walks with symmetric, spatially inhomogeneous increments. Zbl 0701.39002
Lawler, Gregory F.
1991
Nonintersection exponents for Brownian paths. II: Estimates and applications to a random fractal. Zbl 0719.60085
Burdzy, Krzysztof; Lawler, Gregory F.
1990
Non-intersection exponents for Brownian paths. Part I: Existence and an invariance principle. Zbl 0685.60080
Burdzy, Krzysztof; Lawler, Gregory F.
1990
Rigorous exponent inequalities for random walks. Zbl 0716.60080
Burdzy, Krzysztof; Lawler, Gregory F.
1990
Diffusion in lattices with anisotropic scatterers. Zbl 1083.82534
Roerdink, J. B. T. M.; Shuler, K. E.; Lawler, G. F.
1990
Intersections of random walks with random sets. Zbl 0679.60071
Lawler, Gregory F.
1989
The infinite self-avoiding walk in high dimensions. Zbl 0691.60062
Lawler, Gregory F.
1989
On the critical exponent for random walk intersections. Zbl 0714.60057
Burdzy, Krzysztof; Lawler, Gregory F.; Polaski, Thomas
1989
...and 15 more Documents
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#### Cited by 1,113 Authors

 41 Lawler, Gregory Francis 33 Peres, Yuval 29 Miller, Jason P. 25 Werner, Wendelin 23 Sheffield, Scott 19 Schramm, Oded 18 Zhan, Dapeng 16 Duminil-Copin, Hugo 15 Kennedy, Tom 15 Popov, Serguei Yu. 15 Slade, Gordon 15 Sznitman, Alain-Sol 14 Asselah, Amine 14 Benjamini, Itai 14 Camia, Federico 13 Levine, Lionel 13 Tanaka, Teruo 13 Viklund, Fredrik Johansson 12 Ding, Jian 11 Kytölä, Kalle 11 Schapira, Bruno 10 Dubédat, Julien 10 Duplantier, Bertrand 10 Garban, Christophe 10 Járai, Antal A. 10 Kozma, Gady 10 Nachmias, Asaf 9 Guttmann, Anthony John 9 Gwynne, Ewain 9 Le Jan, Yves 9 Sidoravicius, Vladas 9 Smirnov, Stanislav Konstantinovich 9 Wilson, David Bruce 9 Zeitouni, Ofer 8 Biskup, Marek 8 Procaccia, Eviatar Ben 8 Rohde, Steffen 8 Schleissinger, Sebastian 7 Bauer, Robert Otto 7 Dembo, Amir 7 Hammond, Alan 7 Hara, Takashi 7 Hongler, Clément 7 Hutchcroft, Tom 7 Pete, Gábor 7 Qian, Wei 7 Rosen, Jay S. 7 Sousi, Perla 6 Bernard, Denis 6 Chen, Mu-Fa 6 Chen, Zhen-Qing 6 den Hollander, Frank 6 Deuschel, Jean-Dominique 6 Fukushima, Masatoshi 6 Holden, Nina 6 Izyurov, Konstantin 6 Kenyon, Richard W. 6 Mörters, Peter 6 Mountford, Thomas S. 6 Nolin, Pierre 6 Ramírez, Alejandro F. 6 Randall, Dana J. 6 Sabot, Christophe 6 Shiraishi, Daisuke 6 Sun, Xin 6 Teixeira, Augusto Quadros 6 Uchiyama, Kôhei 6 van der Hofstad, Remco W. 6 Zhou, Xianyin 5 Angel, Omer 5 Bauer, Michel 5 Beffara, Vincent 5 Bolthausen, Erwin 5 Bousquet-Mélou, Mireille 5 Comets, Francis M. 5 Flores, Steven M. 5 Friedrich, Tobias 5 Kleban, Peter 5 Koshida, Shinji 5 Lis, Marcin 5 Louidor, Oren 5 Lyons, Russell 5 Miclo, Laurent 5 Newman, Charles Michael 5 Okada, Izumi 5 Peltola, Eveliina 5 Redig, Frank 5 Roberts, Gareth O. 5 Saloff-Coste, Laurent 5 Sola, Alan A. 5 Yadin, Ariel 5 Zhang, Yuan 5 Zheng, Xinghua 5 Zinsmeister, Michel 4 Alberts, Tom 4 Albeverio, Sergio A. 4 Beliaev, Dmitri B. 4 Belius, David 4 Ben Arous, Gérard 4 Bendikov, Alexander D. ...and 1,013 more Authors
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#### Cited in 217 Serials

 128 The Annals of Probability 104 Probability Theory and Related Fields 100 Journal of Statistical Physics 97 Communications in Mathematical Physics 66 Stochastic Processes and their Applications 37 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 26 Electronic Journal of Probability 24 Journal of Theoretical Probability 23 The Annals of Applied Probability 19 Electronic Communications in Probability 16 Transactions of the American Mathematical Society 13 Journal of Mathematical Analysis and Applications 13 Journal of Mathematical Physics 13 Journal of Statistical Mechanics: Theory and Experiment 11 Duke Mathematical Journal 11 Journal of the American Mathematical Society 10 Nuclear Physics. B 10 Statistics & Probability Letters 10 Journal of the European Mathematical Society (JEMS) 10 Probability Surveys 9 Advances in Applied Probability 9 Acta Mathematica 9 Potential Analysis 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Communications on Pure and Applied Mathematics 8 Inventiones Mathematicae 8 Random Structures & Algorithms 8 Annals of Mathematics. Second Series 8 Journal of Physics A: Mathematical and Theoretical 7 Israel Journal of Mathematics 7 Journal of Functional Analysis 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 ALEA. Latin American Journal of Probability and Mathematical Statistics 6 Proceedings of the American Mathematical Society 6 Combinatorics, Probability and Computing 5 Journal d’Analyse Mathématique 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Journal of Combinatorial Theory. Series A 5 Advances in Applied Mathematics 5 Journal of Information & Optimization Sciences 5 SIAM Journal on Discrete Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 Annales Henri Poincaré 4 Discrete Mathematics 4 Letters in Mathematical Physics 4 Advances in Mathematics 4 Bernoulli 4 Journal of Interdisciplinary Mathematics 3 Journal of Computational Physics 3 Linear and Multilinear Algebra 3 Arkiv för Matematik 3 The Mathematical Intelligencer 3 The Annals of Statistics 3 Illinois Journal of Mathematics 3 Journal of Applied Probability 3 Journal of Computational and Applied Mathematics 3 Journal of the Mathematical Society of Japan 3 Memoirs of the American Mathematical Society 3 Theoretical Computer Science 3 Annals of Physics 3 Applied Mathematical Modelling 3 Linear Algebra and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Acta Mathematica Sinica. English Series 3 Journal of High Energy Physics 3 Physical Review Letters 3 Analysis and Mathematical Physics 3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 2 Journal of Mathematical Biology 2 Lithuanian Mathematical Journal 2 Mathematical Notes 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Journal of Computer and System Sciences 2 Nagoya Mathematical Journal 2 Acta Applicandae Mathematicae 2 Physica D 2 Journal of Complexity 2 Algorithmica 2 Revista Matemática Iberoamericana 2 Queueing Systems 2 Geometric and Functional Analysis. GAFA 2 Expositiones Mathematicae 2 Acta Mathematica Sinica. New Series 2 Chinese Science Bulletin 2 Discrete and Continuous Dynamical Systems 2 Probability in the Engineering and Informational Sciences 2 Lobachevskii Journal of Mathematics 2 Brazilian Journal of Probability and Statistics 2 Computational Methods and Function Theory 2 Milan Journal of Mathematics 2 Journal of the Institute of Mathematics of Jussieu 2 Proceedings of the Steklov Institute of Mathematics 2 Frontiers of Mathematics in China 2 Electronic Journal of Statistics 2 Science China. Mathematics 2 Forum of Mathematics, Pi 2 Forum of Mathematics, Sigma 1 International Journal of Modern Physics A ...and 117 more Serials
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#### Cited in 53 Fields

 945 Probability theory and stochastic processes (60-XX) 459 Statistical mechanics, structure of matter (82-XX) 116 Combinatorics (05-XX) 90 Functions of a complex variable (30-XX) 83 Quantum theory (81-XX) 50 Partial differential equations (35-XX) 37 Measure and integration (28-XX) 33 Dynamical systems and ergodic theory (37-XX) 32 Numerical analysis (65-XX) 29 Statistics (62-XX) 27 Potential theory (31-XX) 27 Computer science (68-XX) 22 Operations research, mathematical programming (90-XX) 19 Operator theory (47-XX) 16 Functional analysis (46-XX) 14 Biology and other natural sciences (92-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Systems theory; control (93-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Group theory and generalizations (20-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Nonassociative rings and algebras (17-XX) 8 Relativity and gravitational theory (83-XX) 7 Number theory (11-XX) 7 Topological groups, Lie groups (22-XX) 7 Mechanics of deformable solids (74-XX) 6 Difference and functional equations (39-XX) 5 History and biography (01-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 5 Convex and discrete geometry (52-XX) 5 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 3 Fluid mechanics (76-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Manifolds and cell complexes (57-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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