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- Gregory F. Lawler

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
37
Citations
9,288
162
World Ranking
1640
National Ranking
718

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

- Mathematical analysis
- Geometry
- Topology

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.

- Intersections of random walks (600 citations)
- Conformal invariance of planar loop-erased random walks and uniform spanning trees (505 citations)
- Conformally Invariant Processes in the Plane (466 citations)

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 (38.54%)
- Random walk (38.02%)
- Mathematical analysis (27.60%)

- Combinatorics (38.54%)
- Schramm–Loewner evolution (20.83%)
- Mathematical analysis (27.60%)

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.

- Almost sure multifractal spectrum for the tip of an SLE curve (45 citations)
- Minkowski content and natural parameterization for the Schramm–Loewner evolution (42 citations)
- SLE curves and natural parametrization (36 citations)

- Mathematical analysis
- Geometry
- Topology

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Intersections of random walks

Gregory F. Lawler.

**(1991)**

956 Citations

Conformally Invariant Processes in the Plane

Gregory F. Lawler.

**(2005)**

764 Citations

Random Walk: A Modern Introduction

Gregory F. Lawler;Vlada Limic.

**(2010)**

739 Citations

Values of Brownian intersection exponents, I: Half-plane exponents

Gregory F. Lawler;Oded Schramm;Oded Schramm;Wendelin Werner.

Acta Mathematica **(2001)**

616 Citations

Conformal invariance of planar loop-erased random walks and uniform spanning trees

Gregory F. Lawler;Oded Schramm;Wendelin Werner.

Annals of Probability **(2004)**

567 Citations

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)**

461 Citations

Conformal restriction: The chordal case

Gregory Lawler;Oded Schramm;Wendelin Werner.

Journal of the American Mathematical Society **(2003)**

334 Citations

Random walks and electrical networks

Gregory Lawler;Lester Coyle.

**(1999)**

333 Citations

A self-avoiding random walk

Gregory Francis Lawler.

Duke Mathematical Journal **(1980)**

286 Citations

The Brownian loop soup

Gregory F. Lawler;Wendelin Werner.

Probability Theory and Related Fields **(2004)**

251 Citations

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