Exponential tail bounds for loop-erased random walk in two dimensions

Lawler, Gregory F.G. F. (1980). A self-avoiding random walk. Duke Math. J. 47 655–693

1980

Earlier work this paper cites.

Lawler, Gregory F.G. F. (1991). Intersections of Random Walks. Birkhäuser, Boston, MA

1991

Earlier work this paper cites.

Pemantle, RobinR. (1991). Choosing a spanning tree for the integer lattice uniformly. Ann. Probab. 19 1559–1574

1991

Earlier work this paper cites.

Lawler, Gregory F.G. F. (1995). The logarithmic correction for loop-erased walk in four dimensions. In Proceedings of the Conference in Honor of Jean-Pierre Kahane (Orsay, 1993), J. Fourier Anal. Appl. 347–361

1993

Earlier work this paper cites.

Wilson, David BruceD. B. (1996). Generating random spanning trees more quickly than the cover time. In Proceedings of the Twenty-Eighth Annual ACM Symposium on the Theory of Computing (Philadelphia, PA, 1996) 296–303. ACM, New York

1996

Cited alongside, same era.

Kenyon, RichardR. (2000). The asymptotic determinant of the discrete Laplacian. Acta Math. 185 239–286

2000

Cited alongside, same era.

Schramm, OdedO. (2000). Scaling limits of loop-erased random walks and uniform spanning trees. Israel J. Math. 118 221–288

2000

Cited alongside, same era.

Lawler, Gregory F.G. F., Schramm, OdedO. andWerner, WendelinW. (2004). Conformal invariance of planar loop-erased random walks and uniform spanning trees. Ann. Probab. 32 939–995

2004

Cited alongside, same era.

Kozma, GadyG. (2007). The scaling limit of loop-erased random walk in three dimensions. Acta Math. 199 29–152

2007

Later among the works it cites.

Beffara, VincentV. (2008). The dimension of the SLE curves. Ann. Probab. 36 1421–1452

2008

Later among the works it cites.

Masson, RobertR. (2009). The growth exponent for planar loop-erased random walk. Electron. J. Probab. 14 1012–1073

2009

Closest in time.

Lawler, Gregory F.G. F. andLimic, VladaV. (2010). Random walk: A modern introduction. Preprint. Cambridge Univ. Press. Available at http://www.math.uchicago.edu/~lawler/books.html

2010

Closest in time.