2019 - Wolf Prize in Mathematics for his comprehensive and pioneering research on erased loops and random walks.
2013 - Fellow of the American Mathematical Society
2013 - Member of the National Academy of Sciences
2011 - Wald Memorial Lecturer
2006 - George Pólya Prize
2005 - Fellow of the American Academy of Arts and Sciences
1986 - Fellow of Alfred P. Sloan Foundation
Gregory F. Lawler mostly deals with Random walk, Combinatorics, Brownian motion, Schramm–Loewner evolution and Mathematical analysis. Gregory F. Lawler has included themes like Discrete mathematics, Chain and Markov chain in his Random walk study. Combinatorics is often connected to Calculus in his work.
His work deals with themes such as Probability theory, Mathematical physics, Stochastic process, Distribution and Conformal symmetry, which intersect with Brownian motion. Gregory F. Lawler works mostly in the field of Schramm–Loewner evolution, limiting it down to topics relating to Simply connected space and, in certain cases, Almost surely and Spanning tree. His Mathematical analysis research includes themes of Invariant measure and Critical exponent, Percolation critical exponents.
His primary areas of study are Combinatorics, Random walk, Mathematical analysis, Brownian motion and Schramm–Loewner evolution. The Combinatorics study combines topics in areas such as Boundary and Self-avoiding walk. His research in Random walk intersects with topics in Discrete mathematics and Statistical physics.
His Mathematical analysis study combines topics in areas such as Stochastic process, Fractional Brownian motion and Lattice. The study incorporates disciplines such as Intersection, Measure, Invariant measure, Hausdorff dimension and Loop in addition to Brownian motion. His Schramm–Loewner evolution study which covers Pure mathematics that intersects with Parametrization.
Combinatorics, Schramm–Loewner evolution, Mathematical analysis, Loop-erased random walk and Loop are his primary areas of study. His work on Countable set as part of general Combinatorics research is often related to Vertex, thus linking different fields of science. Gregory F. Lawler interconnects Minkowski content, Path, Domain and Mathematical physics in the investigation of issues within Schramm–Loewner evolution.
His studies deal with areas such as For loop, Invariant, Scaling and Brownian motion as well as Mathematical analysis. His Loop-erased random walk study is concerned with the field of Random walk as a whole. His Random walk study integrates concerns from other disciplines, such as Scaling limit and Laplace operator.
The scientist’s investigation covers issues in Schramm–Loewner evolution, Mathematical analysis, Combinatorics, Point and Kappa. His research integrates issues of Minkowski content, Loop, Brownian motion and Mathematical physics in his study of Schramm–Loewner evolution. His Brownian motion study combines topics from a wide range of disciplines, such as Measure, Plane, Terminal point and Domain.
His studies in Mathematical analysis integrate themes in fields like Scaling limit, Scaling and Heterogeneous random walk in one dimension, Random walk, Loop-erased random walk. Combinatorics is closely attributed to Discrete mathematics in his study. His Point research incorporates themes from Function, Green's function and Pure mathematics.
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Intersections of random walks
Gregory F. Lawler.
Conformally Invariant Processes in the Plane
Gregory F. Lawler.
Random Walk: A Modern Introduction
Gregory F. Lawler;Vlada Limic.
Values of Brownian intersection exponents, I: Half-plane exponents
Gregory F. Lawler;Oded Schramm;Oded Schramm;Wendelin Werner.
Acta Mathematica (2001)
Conformal invariance of planar loop-erased random walks and uniform spanning trees
Gregory F. Lawler;Oded Schramm;Wendelin Werner.
Annals of Probability (2004)
Bounds on the ² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality
Gregory F. Lawler;Gregory F. Lawler;Alan D. Sokal.
Transactions of the American Mathematical Society (1988)
Conformal restriction: The chordal case
Gregory Lawler;Oded Schramm;Wendelin Werner.
Journal of the American Mathematical Society (2003)
Random walks and electrical networks
Gregory Lawler;Lester Coyle.
A self-avoiding random walk
Gregory Francis Lawler.
Duke Mathematical Journal (1980)
The Brownian loop soup
Gregory F. Lawler;Wendelin Werner.
Probability Theory and Related Fields (2004)
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