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Mathematics

D-Index
42
Citations
10402
World Ranking
1756
National Ranking
751

Research.com Recognitions

  • 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

Overview

Gregory F. Lawler is affiliated with the University of Chicago in the United States. Their research spans multiple fields primarily within mathematics and computer science, with an emphasis on stochastic processes and statistical mechanics.

The main fields of study covered by their work include:

  • Mathematics
  • Computer Science

Subfields in which they have contributed are:

  • Mathematical Physics
  • Condensed Matter Physics
  • Statistics and Probability
  • Computational Theory and Mathematics
  • Applied Mathematics

The key topics relevant to their research include:

  • Stochastic processes and statistical mechanics
  • Theoretical and Computational Physics
  • Mathematical Dynamics and Fractals
  • Random Matrices and Applications
  • Stochastic processes and financial applications
  • Markov Chains and Monte Carlo Methods
  • Cellular Automata and Applications

Recent papers authored by Gregory F. Lawler highlight work in loop-erased random walks and related stochastic processes. Notable publications include:

  • Convergence of loop-erased random walk in the natural parameterization, 2021, Duke Mathematical Journal
  • The infinite two-sided loop-erased random walk, 2020, Electronic Journal of Probability
  • The Loewner difference equation and convergence of loop-erased random walk, 2022, Latin American Journal of Probability and Mathematical Statistics

Other recent related works in closely connected topics include:

  • Minkowski content of Brownian cut points, 2022, Annales de l Institut Henri Poincaré Probabilités et Statistiques
  • N-sided radial Schramm-Loewner evolution, 2021, Probability Theory and Related Fields

The frequent co-authors collaborating with the scientist include:

  • Fredrik Viklund
  • Stephen Yearwood
  • Nina Holden
  • Xinyi Li
  • Xin Sun

Publication venues where their work has appeared multiple times include:

  • arXiv (Cornell University)
  • Duke Mathematical Journal
  • Electronic Journal of Probability
  • Annales de l Institut Henri Poincaré Probabilités et Statistiques
  • Latin American Journal of Probability and Mathematical Statistics

Gregory F. Lawler has also published a book titled Random Explorations (2022) through the American Mathematical Society.

Awards and recognitions for Gregory F. Lawler are recorded as follows:

  • Wolf Prize in Mathematics, 2019, for comprehensive and pioneering research on erased loops and random walks
  • Fellow of the American Mathematical Society, 2013
  • Member of the National Academy of Sciences, 2013
  • Wald Memorial Lecturer, 2011
  • George Pólya Prize, 2006
  • Fellow of the American Academy of Arts and Sciences, 2005
  • Fellow of Alfred P. Sloan Foundation, 1986

Best Publications

  • Intersections of random walks

    Gregory F. Lawler

  • Random Walk: A Modern Introduction

    Gregory F. Lawler;Vlada Limic

  • Conformally Invariant Processes in the Plane

    Gregory F. Lawler

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

    Gregory F. Lawler;Oded Schramm;Wendelin Werner

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

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

  • 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

  • Conformal restriction: The chordal case

    Gregory Lawler;Oded Schramm;Wendelin Werner

  • Random walks and electrical networks

    Gregory Lawler;Lester Coyle

  • A self-avoiding random walk

    Gregory Francis Lawler

  • The Brownian loop soup

    Gregory F. Lawler;Wendelin Werner

  • One-Arm Exponent for Critical 2D Percolation

    Gregory F. Lawler;Oded Schramm;Wendelin Werner

  • Introduction to Stochastic Processes.

    G. F. Lawler

  • On the scaling limit of planar self-avoiding walk

    Gregory F. Lawler;Oded Schramm;Wendelin Werner

  • Internal Diffusion Limited Aggregation

    Gregory F. Lawler;Maury Bramson;David Griffeath

  • Values of Brownian intersection exponents III: Two-sided exponents

    Gregory F. Lawler;Oded Schramm;Wendelin Werner

  • Weak convergence of a random walk in a random environment

    Gregory F. Lawler

  • The dimension of the planar Brownian frontier is 4/3

    Gregory F. Lawler;Oded Schramm;Wendelin Werner

  • Random walk loop soup

    Gregory F. Lawler;José A. Trujillo Ferreras

  • A natural parametrization for the Schramm–Loewner evolution

    Gregory F. Lawler;Scott Sheffield

  • Minkowski content and natural parameterization for the Schramm–Loewner evolution

    Gregory F. Lawler;Mohammad A. Rezaei

  • Random Walk and the Heat Equation

    Gregory F. Lawler

Frequent Co-Authors

Wendelin Werner
Wendelin Werner University of Cambridge
Oded Schramm
Oded Schramm Microsoft (United States)
Krzysztof Burdzy
Krzysztof Burdzy University of Washington
Geoffrey Grimmett
Geoffrey Grimmett University of Cambridge
Harry Kesten
Harry Kesten Cornell University
Jos B. T. M. Roerdink
Jos B. T. M. Roerdink University of Groningen
Iwan Jensen
Iwan Jensen Flinders University
Anthony J. Guttmann
Anthony J. Guttmann University of Melbourne
Gil Kalai
Gil Kalai Hebrew University of Jerusalem

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