Greg Lawler
#32,907
Most Influential Person Now
American mathematician
Greg Lawler's AcademicInfluence.com Rankings
Greg Lawlermathematics Degrees
Mathematics
#2108
World Rank
#3306
Historical Rank
#843
USA Rank
Measure Theory
#1988
World Rank
#2414
Historical Rank
#595
USA Rank
Download Badge
Mathematics
Greg Lawler's Degrees
- PhD Mathematics Princeton University
- Bachelors Mathematics Princeton University
Similar Degrees You Can Earn
Why Is Greg Lawler Influential?
(Suggest an Edit or Addition)According to Wikipedia, Gregory Francis Lawler is an American mathematician working in probability theory and best known for his work since 2000 on the Schramm–Loewner evolution. He received his PhD from Princeton University in 1979 under the supervision of Edward Nelson. He was on the faculty of Duke University from 1979 to 2001, of Cornell University from 2001 to 2006, and since 2006 is at the University of Chicago.
Greg Lawler's Published Works
Published Works
- Random Walk: A Modern Introduction (2010) (776)
- Conformally Invariant Processes in the Plane (2005) (701)
- Conformal invariance of planar loop-erased random walks and uniform spanning trees (2001) (592)
- Values of Brownian intersection exponents, I: Half-plane exponents (1999) (428)
- Conformal restriction: The chordal case (2002) (338)
- Bounds on the ² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality (1988) (323)
- Intersections of random walks (1991) (298)
- The Brownian loop soup (2003) (267)
- On the scaling limit of planar self-avoiding walk (2002) (246)
- Values of Brownian intersection exponents, II: Plane exponents (2000) (246)
- One-Arm Exponent for Critical 2D Percolation (2001) (210)
- A self-avoiding random walk (1980) (201)
- Introduction to Stochastic Processes (1995) (190)
- Values of Brownian intersection exponents III: Two-sided exponents (2000) (185)
- Internal Diffusion Limited Aggregation (1992) (173)
- The dimension of the planar Brownian frontier is 4/3 (2000) (125)
- Weak convergence of a random walk in a random environment (1982) (124)
- Random walk loop soup (2004) (91)
- The configurational measure on mutually avoiding SLE paths (2006) (91)
- Universality for conformally invariant intersection exponents (2000) (87)
- Random Walk and the Heat Equation (2010) (84)
- Minkowski content and natural parameterization for the Schramm–Loewner evolution (2012) (75)
- Subdiffusive Fluctuations for Internal Diffusion Limited Aggregation (1995) (75)
- Intersection Exponents for Planar Brownian Motion (1999) (74)
- Loop-Erased Random Walk (1999) (73)
- Hausdorff Dimension of Cut Points for Brownian Motion (1996) (67)
- Analyticity of intersection exponents for planar Brownian motion (2000) (64)
- The probability of intersection of independent random walks in four dimensions (1982) (63)
- Effect of cytoskeletal geometry on intracellular diffusion. (1989) (62)
- The Dimension of the Frontier of Planar Brownian Motion (1996) (62)
- Optimal Holder exponent for the SLE path (2009) (61)
- Almost sure multifractal spectrum for the tip of an SLE curve (2009) (53)
- Cut Times for Simple Random Walk (1996) (49)
- Nonintersection Exponents for Brownian Paths. II. Estimates and Applications to a Random Fractal (1990) (47)
- SLE curves and natural parametrization (2010) (47)
- The Laplacian-$b$ random walk and the Schramm-Loewner evolution (2006) (46)
- Partition Functions, Loop Measure, and Versions of SLE (2009) (46)
- Non-intersection exponents for Brownian paths (1990) (44)
- Estimates for Differences and Harnack Inequality for Difference Operators Coming From Random Walks with Symmetric, Spatially Inhomogeneous, Increments (1991) (43)
- Self-Avoiding Walks (1991) (42)
- Multi-point Green’s functions for SLE and an estimate of Beffara (2010) (42)
- Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line (2015) (41)
- Estimates of Random Walk Exit Probabilities and Application to Loop-Erased Random Walk (2005) (40)
- Basic properties of the natural parametrization for the Schramm-Loewner evolution (2009) (35)
- Strict concavity of the intersection exponent for Brownian motion in two and three dimensions. (1998) (34)
- Markov Strategies for Optimal Control Problems Indexed by a Partially Ordered Set (1983) (33)
- Intersections of random walks in four dimensions. II (1985) (32)
- Multifractal Analysis of the Reverse Flow for the Schramm-Loewner Evolution (2009) (32)
- A Discrete Analogue of a Theorem of Makarov (1993) (31)
- GEOMETRIC INTERPRETATION OF HALF-PLANE CAPACITY (2009) (31)
- On the critical exponent for random walk intersections (1989) (29)
- Gaussian behavior of loop-erased self-avoiding random walk in four dimensions (1986) (29)
- Defining SLE in multiply connected domains with the Brownian loop measure (2011) (29)
- Continuity of radial and two-sided radial $SLE_κ$ at the terminal point (2011) (27)
- Lectures on contemporary probability (1999) (27)
- Sharp Estimates for Brownian Non-intersection Probabilities (2001) (26)
- COMMENT: Loop-erased self-avoiding random walk and the Laplacian random walk (1987) (26)
- Making money in fair games (1991) (26)
- Fatou-Julia Theory for non-uniformly quasiregular maps (2011) (26)
- The geometry of the Brownian curve (1993) (26)
- Escape probabilities for slowly recurrent sets (1992) (24)
- Nonintersecting planar Brownian motions. (1995) (24)
- Convergence of loop-erased random walk in the natural parameterization (2016) (24)
- The Intersection Exponent for Simple Random Walk (2000) (23)
- Conformal invariance and 2 statistical physics (2008) (23)
- Expected hitting times for a random walk on a connected graph (1986) (23)
- Compressed self-avoiding walks, bridges and polygons (2015) (21)
- Scaling limit of the loop-erased random walk Green’s function (2014) (21)
- The disconnection exponent for simple random walk (1997) (20)
- Harnack inequalities and difference estimates for random walks with infinite range (1993) (20)
- The Beurling Estimate for a Class of Random Walks (2004) (20)
- The probability that planar loop-erased random walk uses a given edge (2013) (19)
- Topics in loop measures and the loop-erased walk (2017) (19)
- Convergence of radial loop-erased random walk in the natural parametrization (2017) (18)
- The Green function for the radial Schramm–Loewner evolution (2012) (18)
- The Self-avoiding Walk Spanning a Strip (2010) (18)
- CONFORMAL INVARIANCE AND 2D STATISTICAL PHYSICS (2008) (17)
- Mixing times and e p bounds for oblivious routing (2009) (15)
- Rigorous exponent inequalities for random walks (1990) (14)
- Intersections of random walks with random sets (1989) (13)
- Lattice effects in the scaling limit of the two-dimensional self-avoiding walk (2011) (13)
- A connective constant for loop-erased self-avoiding random walk (1983) (13)
- A Necessary Condition for Making Money from Fair Games (1992) (13)
- Random Walks, Brownian Motion, and Interacting Particle Systems; A Festschrift in Honor of Frank Spritzer - R. Durrett; H. Kesten. (1994) (13)
- Dimension and natural parametrization for SLE curves (2007) (13)
- The Infinite Self-Avoiding Walk in High Dimensions (1989) (12)
- Loop-erased self-avoiding random walk in two and three dimensions (1988) (12)
- Notes on the Bessel Process (2018) (12)
- Scaling limits and the Schramm-Loewner evolution (2011) (12)
- Irreducible compositions and the first return to the origin of a random walk (2004) (11)
- Minkowski content of Brownian cut points (2018) (11)
- Escape probability and transience for SLE (2014) (11)
- Self-avoiding walk (1999) (10)
- Reversed Radial SLE and the Brownian Loop Measure (2012) (9)
- A Lower Bound on the Growth Exponent for Loop-Erased Random Walk in Two Dimensions (1998) (9)
- On the Covering Time of a Disc by Simple Random Walk in Two Dimensions (1993) (9)
- A discrete stochastic integral inequality and balanced random walk in a random environment (1983) (9)
- The Logarithmic Correction for Loop-Erased Walk in Four Dimensions (2020) (8)
- Loop Measures and the Gaussian Free Field (2014) (8)
- On the Smoothness of the Partition Function for Multiple Schramm–Loewner Evolutions (2017) (8)
- Up-to-constants bounds on the two-point Green's function for SLE curves (2015) (8)
- Determining Resistances from Boundary Measurements in Finite Networks (1989) (8)
- Recurrence and Transience for a Card Shuffling Model (1995) (8)
- FRACTAL AND MULTIFRACTAL PROPERTIES OF SLE (2010) (7)
- Low‐density expansion for a two‐state random walk in a random environment (1989) (7)
- The infinite two-sided loop-erased random walk (2018) (6)
- Cut Times for Brownian Motion and Random Walk (1999) (6)
- Fast convergence to an invariant measure for non-intersecting 3-dimensional Brownian paths (2010) (6)
- More results about (2008) (6)
- Loop-erased random walk, uniform spanning forests and bi-Laplacian Gaussian field in the critical dimension (2016) (6)
- Four-dimensional loop-erased random walk (2016) (6)
- Random walk simulations (1999) (5)
- Random Walk Problems Motivated by Statistical Physics (2015) (5)
- A note on the Brownian loop measure (2009) (5)
- CONFORMALLY INVARIANT LOOP MEASURES (2019) (5)
- Random Walks, Random Fields, and Disordered Systems (2015) (4)
- Comments on Edward Nelson’s “Internal set theory: A new approach to nonstandard analysis” (2011) (4)
- Conformai Invariance, Universality, and the Dimension of the Brownian Frontier (2003) (4)
- Notes on Probability (4)
- N-sided radial Schramm–Loewner evolution (2020) (4)
- Strict Concavity of the Half Plane Intersection Exponent for Planar Brownian Motion (2000) (3)
- Simple Random Walk (1991) (3)
- Mixing times and ℓpbounds for Oblivious routing (2009) (3)
- NON-INTERSECTION EXPONENTS FOR BROWNIAN PATHS PART II . ESTIMATES AND APPLICATIONS TO A RANDOM FRACTAL (2005) (3)
- Low density expansion for a two-state random walk in random environment (1987) (3)
- Multiple-paths $SLE_\kappa$ in multiply connected domains (2018) (2)
- Continuity of radial and two-sided radial $SLE_\kappa$ at the terminal point (2011) (2)
- Diffusion in lattices with anisotropic scatterers (1990) (2)
- School and conference on probability theory, 13-17 May (2004) (2)
- Note on the existence and modulus of continuity of the SLE8 curve (2014) (2)
- The Loewner difference equation and convergence of loop-erased random walk (2016) (2)
- Two and Three Dimensions (1991) (2)
- FRACTAL AND MULTIFRACTAL PROPERTIES OF SLE Lectures at the 2010 CMI School (2010) (1)
- Random Walk: A Modern Introduction: Dyadic coupling (2010) (1)
- Weighted graphs and complex Gaussian free fields (2018) (1)
- L-Shapes for the Logarithmic η-Model for DLA in Three Dimensions (1992) (1)
- Random Walk: A Modern Introduction: Loop-erased random walk (2010) (1)
- LOOP-ERASED WALKS INTERSECT INFINITELY OFTEN IN FOUR DIMENSIONS (1998) (1)
- Harry Kesten (1931–2019): A Personal and Scientific Tribute (2020) (1)
- Aspects and Applications of the Random Walk (G. H. Weiss) (1995) (1)
- COMMENT: The Edwards model and the weakly self-avoiding walk (1990) (1)
- Reversible Markov Chains (2018) (1)
- Chapter Seven. Internal Set Theory and Infinitesimal Random Walks (2006) (1)
- Conformal invariance of the loop-erased random walk intensity (2014) (1)
- Stochastic Loewner Evolutions (2006) (1)
- Reversed Radial SLE and the Brownian Loop Measure (2013) (0)
- Loewner differential equation (2008) (0)
- Loop-Erased Walk (1991) (0)
- Brownian motion and the heat equation (2010) (0)
- PR / 0 10 12 47 30 J an 2 00 1 Sharp estimates for Brownian non-intersection probabilities (0)
- Shuffling and random permutations (1999) (0)
- Intersection probabilities for random walks (2010) (0)
- PR ] 3 0 Ja n 20 01 Sharp estimates for Brownian non-intersection probabilities (2002) (0)
- Loops and Loop-Erased Random Walk (2018) (0)
- Conformal Invariance of LoopErased Random Walk Green's function (2014) (0)
- Random Walks : simple and self-avoiding Notes of the talk given by (2014) (0)
- Parafermionic observables in discrete models and Schramm–Loewner evolution (2011) (0)
- Seven shuffles are enough (sort of) (1999) (0)
- PR ] 3 0 A ug 2 00 1 One-arm exponent for critical 2 D percolation (2001) (0)
- A new proof of reversibility of $SLE_{\kappa}$ for $\kappa \leq 4$ (2021) (0)
- Two-sided loop-erased random walk in three dimensions (2017) (0)
- Finite Markov Chains (2018) (0)
- Simple random walk in many dimensions (1999) (0)
- Additional topics on simple random walk (2010) (0)
- One-dimensional walks (2010) (0)
- Transition probabilities for infinite two-sided loop-erased random walks (2018) (0)
- Countable Markov Chains (2018) (0)
- Complex Brownian motion (2008) (0)
- Continuous-Time Markov Chains (2018) (0)
- Class I: Mathematical and Physical Sciences Section 1: Mathematics (2006) (0)
- Markov chains on finite sets (1999) (0)
- Local central limit theorem (2010) (0)
- Simple random walk and Stirling’s formula (1999) (0)
- Note on the existence and modulus of continuity of the $${\textit{SLE}}_8$$SLE8 curve (2014) (0)
- PR ] 1 6 Se p 20 04 Random Walk Loop Soup (2004) (0)
- Approximation by Brownian motion (2010) (0)
- Scaling limit of the loop-erased random walk Green’s function (2015) (0)
- The purpose of the Institute is to foster the development and dissemination of the theory and applications of statistics and probability. (2016) (0)
- Effect ofcytoskeletal geometry onintracellular diffusion (1989) (0)
- Brownian measures on paths (2008) (0)
- PR ] 1 0 M ar 1 99 8 A Lower Bound on the Growth Exponent forLoop-Erased Random Walk in Two Dimensions (2008) (0)
- Random Explorations (2022) (0)
- The restriction property for conformally covariant measures (2006) (0)
- Random walk and discrete heat equation (2010) (0)
- On the Smoothness of the Partition Function for Multiple Schramm–Loewner Evolutions (2018) (0)
- ICM 2018 Lecture Sampler (2018) (0)
- Brownian intersection exponent (2008) (0)
- Simulations in finance (1999) (0)
- Recent Progress in Random Conformal Geometry (2014) (0)
- Random Walks, Harmonic Measure, and Laplacian Growth Models (1994) (0)
- The Green's function (2010) (0)
- Uniform spanning trees (1999) (0)
This paper list is powered by the following services:
Other Resources About Greg Lawler
What Schools Are Affiliated With Greg Lawler?
Greg Lawler is affiliated with the following schools: