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Publications of Gregory F Lawler    :chronological  alphabetical  combined  bibtex listing:

Books

  1. Gregory F. Lawler and Lester N. Coyle, Lectures on Contemporary Probability, AMS Student Mathematical Library (1999)  [abs]
  2. Gregory F. Lawler, Introduction to Stochastic Processes, CRC Chapman and Hall (1995)
  3. Gregory F. Lawler, Intersections of Random Walks, Birkhauser-Boston (1991, softcover edition 1996)

Papers Published

  1. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, Values of Brownian intersection exponents I: half-plane exponents, Acta. Math. 187 (2001), 237--273 [math.PR/9911084]
  2. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, Values of Brownian intersection exponents II: plane exponents, Acta Math. 187 (2001), 275--308 [math.PR/0003156]
  3. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, One-arm exponent for critical 2D percolation, Electronic J. of Probability, 7 (2002), paper no. 2 [~ejpecp]
  4. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, Values of Brownian intersection exponents III: Two-sided exponents, Ann. Inst. Henri Poincare' 38 (2002), pp 109--123 [math.PR/0005294]
  5. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, The dimension of the planar Brownian frontier is 4/3, Math. Research Letters 8 (2001), 401--411
  6. Gregory F. Lawler and Wendelin Werner, Universality for conformally invariant intersection exponents, J. European Math. Soc. 2 (2000) , 291--328
  7. Gregory F. Lawler, Strict concavity of the half plane intersection exponent for planar Brownian motion, Electronic Journal of Probability 5 (2000), paper no. 8 [~ejpecp]
  8. Gregory F. Lawler, Emily Puckette, The intersection exponent for simple random walk, Combinatorics, Probability, and Computing 9 (2000), 441--464
  9. Gregory F. Lawler and Wendelin Werner, Intersection exponents for planar Brownian motion, Annals of Probability 27 (1999), 1601-1642
  10. Gregory F. Lawler, A lower bound on the growth exponent for loop-erased walk in two dimensions, ESAIM: Probability and Statistics 3 (1999),1-21
  11. Gregory F. Lawler, Multifractal nature of two dimensional simple random walk paths, Random Walks and Discrete Potential Theory, M. Picardello and W. Woess, ed., Cambridge University Press (1999), 231--264.
  12. Gregory F. Lawler, Loop-erased random walk, Perplexing Problems in Probability, Birkhauser-Boston (1999), 197--217
  13. Gregory F. Lawler, Geometric and fractal properties of Brownian motion and random walk paths in two and three dimensions, Bolyai Mathematical Society Studies, 9 (1999), 219-258
  14. Gregory F. Lawler, Strict concavity of the intersection exponent for Brownian motion in two and three dimensions, Mathematical Physics Electronic Journal 5 (1998), #5
  15. Gregory F. Lawler, Loop-erased walks intersect infinitely often in four dimensions, Electronic Communications in Probability 3 (1998), 35-42 [~ejpecp]
  16. Gregory F. Lawler, Emily E. Puckette, The disconnection exponent for simple random walk, Israel Journal of Mathematics 99 (1997), 109-122.
  17. Gregory F. Lawler, Hausdorff dimension of cut points for Brownian motion, Electronic Journal of Probability 1 (1996), #2 [~ejpecp]
  18. Gregory F. Lawler, Cut points for simple random walk, Electronic Journal of Probability 1 (1996), #13 [~ejpecp]
  19. Gregory F. Lawler, The dimension of the frontier of planar Brownian motion, Electronic Communications in Probability 1 (1996), 29-47 [~ejpecp]
  20. Gregory F. Lawler, Subdiffusive fluctuations for internal diffusion limited aggregation, Annals of Probability 23 (1995), 71-86
  21. Gregory F. Lawler, The logarithmic correction for loop-erased walk in four dimensions, Proceedings of the Conference in Honor of J.P. Kahane, special issue of Journal of Fourier Analysis and Applications, CRC Press (1995), 347-362
  22. Gregory F. Lawler, Recurrence and transience for a card shuffling model, Combinatorics, Probability, and Computing 4 (1995), 133-142
  23. Gregory F. Lawler, Nonintersecting planar Brownian motions, Mathematical Physics Electronic Journal 1 (1995), #4
  24. Gregory F. Lawler, Random walks: simple and self-avoiding, Topics in Comtemporary Probability and its Applications, J. Laurie Snell, ed., CRC (1995), 55-74
  25. Gregory F. Lawler, Random walks, harmonic measure, and Laplacian growth models, Probability and Phase Transitions, ed. G. Grimmett, Kluwer (1994), 191-208
  26. Gregory F. Lawler and Thomas Polaski, Harnack inequalities and difference estimates for random walks with infinite range, Journal of Theoretical Probability, 6 (1993), 781-802
  27. Gregory F. Lawler, On the covering time of a disc by simple random walk in two dimensions, Seminar on Stochastic Processes, 1992, Birkh\"auser-Boston (1993), 189-208
  28. Bertrand Duplantier, Gregory F. Lawler, Jean-Francois Le Gall, and Terry Lyons, The geometry ofthe Brownian curve, Bull. Sci. Math, 2eme serie, 117 (1993), 91-106
  29. Gregory F. Lawler, A discrete analogue of a theorem of Makarov, Combinatorics, Probability, and Computing 2 (1993), 181-200
  30. Harry Kesten and Gregory F. Lawler, A necessary condition for making money from fair games, Annals of Probability 20 (1992), 855--882
  31. Gregory F. Lawler, Maury Bramson, and David Griffeath, Internal diffusion limited aggregation, Annals of Probability 20 (1992), 2117-2140
  32. Gregory F. Lawler, Escape probabilities for slowly recurrent sets, Probability Theory and Related Fields 94 (1992), 91-117
  33. Gregory F. Lawler, $L$-shapes for the logarithmic $\eta$-model for DLA in three dimensions, Seminar on Stochastic Processes, 1991, Birkh\"auser-Boston (1992), 97--122
  34. Gregory F. Lawler, Estimates for differences and Harnack's inequality for difference operators coming from random walks with symmetric, spatially inhomogeneous increments, Proceedings of London Mathematical Society 63 (1991), 552--568
  35. Gregory F. Lawler, Intersection probabilities for random walks, Mathematics of Random Media, AMS Lectures in Applied Mathematics 27 (1991), 73--86
  36. Richard Durrett, Harry Kesten, and Gregory F. Lawler, Making money from fair games, Random Walks, Brownian Motion and Interacting Particle Systems, Birkh\"auser, Boston (1991), 255-267
  37. Gregory F. Lawler, Problems on the geometry of random walk paths, Probability Models in Mathematical Physics, World Scientific (1991), 135--143
  38. Krzysztof Burdzy and Gregory F. Lawler, Non-intersection exponents for random walk and Brownian motion. Part I: Existence and an invariance principle, Probability Theory and Related Fields 84 (1990), 393--410
  39. Krzysztof Burdzy and Gregory F. Lawler, Non-intersection exponents for random walk and Brownian motion. Part II: Estimates and applications to a random fractal, Annals of Probability 18 (1990), 981--1009
  40. Gregory F. Lawler, The Edwards model and the weakly self-avoiding walk, Journal of Physics A 23 (1990), 1467--1470#
  41. Krzysztof Burdzy and Gregory F. Lawler, Rigorous exponent inequalities for random walks, Journal of Physics A 23 (1990), L23--L28
  42. J. Roerdink, K. Shuler, and Gregory F. Lawler, Diffusion in lattices with anisotropic scatterers, Journal of Statistical Physics 59 (1990) , 23--52
  43. Gregory F. Lawler, Low density estimates for a two-state random walk in random environment, Journal of Mathematical Physics 30 (1989), 145-157
  44. Gregory F. Lawler and John Sylvester, Determining resistances from boundary measurements in finite networks, SIAM Journal on Discrete Mathematics 2 (1989), 231-239
  45. Gregory F. Lawler, The infinite self-avoiding walk in high dimensions, Annals of Probability 17 (1989), 1367--1376
  46. Gregory F. Lawler, Intersections of random walks with random sets, Israel Journal of Mathematics 65 (1989), 113-132
  47. Krzysztof Burdzy, Gregory F. Lawler, and Thomas Polaski, On the critical exponent for random walk intersections, Journal of Statistical Physics { 56 (1989), 1-12
  48. Joe Blum, Gregory F. Lawler, Michael Reed, and Insun Shin, The effect of cytoskeletal geometry on intracellular diffusion, Biophysical Journal 56 (1989), 995--1005
  49. Gregory F. Lawler, Loop-erased self-avoiding random walk in two and three dimensions, Journal of Statistical Physics 50 (1988), 91-108
  50. Gregory F. Lawler and Alan Sokal, Bounds on the L_2 spectrum for Markov chains and Markov processes: a generalization of Cheeger's inequality, Trans. Amer. Math. Soc. 309 (1988), 557-580.
  51. Gregory F. Lawler, Loop-erased self-avoiding random walk and the Laplacian random walk, Journal of Physics A. 20 (1987), 4565-4568
  52. Gregory F. Lawler, Expected hitting time for a random walk on a connected graph, Discrete Mathematics 61 (1986), 85-92
  53. Gregory F. Lawler, Gaussian behavior of loop-erased self-avoiding random walk in four dimensions, Duke Mathematical Journal 53 (1986), 249-270
  54. Gregory F. Lawler, Intersections of random walks in four dimensions II, Comm. Math. Phys. 97 (1985), 583-594
  55. Gregory F. Lawler, Intersections of simple random walks, AMS Contemporary Mathematics 41 (1985), 281-289
  56. Gregory F. Lawler and Robert Vanderbei, Markov strategies for optimal control problems indexed by a partially ordered set, Annals of Prob. 11 (1983), 642-647
  57. Gregory F. Lawler, A discrete stochastic integral inequality and balanced random walk in a random environment, Duke Mathematical Journal 50 (1983), 1261-1274
  58. Gregory F. Lawler, A connective constant for loop-erased self-avoiding random walk, J. Appl. Prob. 20 (1983), 264-276
  59. Gregory F. Lawler, The probability of intersection of independent random walks in four dimensions, Commun. Math.Phys 86 (1982), 539-554
  60. Gregory F. Lawler, Weak convergence of a random walk in a random environment, Commun. Math. Phys. 87 (1982), 81-87
  61. Gregory F. Lawler, A self-avoiding random walk, Duke Mathematical Journal 47 (1980), 655-694.

Papers Accepted

  1. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, Sharp estimates for Brownian non-intersection probabilities, to appear in In and Out of Equilbrium, Birkhauser , accepted 2001 [math.PR/0101247]
  2. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, Analyticity of intersection exponents for planar Brownian motion, Acta Math. , accepted 2001 [math.PR/0005295]
  3. Gregory F. Lawler, Cut times for Brownian motion and random walk, Proceedings of Conference in Honor of Paul Erdos , accepted 2000 [html]  [abs]

Preprints

  1. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, On the scaling limit of planar self-avoiding walk , preprint 2002 [math.PR/0204277]
  2. Gregory F. Lawler, Oded Scrhamm, and Wendelin Werner, Conformal invariance of planar loop-erased random walk and uniform spanning trees , preprint 2002 [math.PR/0112234]
  3. Gregory F. Lawler, An introduction to the stochastic Loewner evolution , preprint 2001 [html]
  4. Gregory F. Lawler, A note on the Green's function for random walk in four dimensions, Duke University Math Preprint 94-03 , preprint 1998
  5. Gregory F. Lawler, The frontier of a Brownian path is multifractal, preprint , preprint 1998

Book Reviews

  1. Gregory F. Lawler, Self-Avoiding Walk (N. Madras and G. Slade), Annals of Probability 27 (1999), 606-609
  2. Gregory F. Lawler, Aspects and Applications of Random Walk (G. Weiss), SIAM Review \bf 37 (1995) 470-471
  3. Gregory F. Lawler, Random Walks, Brownian Motion, and Interacting Particle Systems, a Festschrift for Frank Spitzer (R. Durrett, H. Kesten, ed.), Metrika 41 (1994) 254-255

 

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