On the Rate of Convergence of Loop-Erased Random Walk to SLE2-Reference-Cited by-同舟云学术

On the Rate of Convergence of Loop-Erased Random Walk to SLE2

Published:2013-02-08 Issue:2 Volume:318 Page:307-354
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Beneš Christian,Johansson Viklund Fredrik,Kozdron Michael J.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-013-1666-5.pdf

Reference32 articles.

1. Auer, P.: Some hitting probabilities of random walks on Z 2. In: Berkes, I., Csáki, E., Révész, P. eds., Limit Theorems in Probability and Statistics, Volume 57 of Colloquia Mathematica Societatis János Bolyai. (Budapest, Hungary), 1990. Amsterdam: North-Holland, pp. 9–25

2. Beneš, C.: Some Estimates for Planar Random Walk and Brownian Motion. Preprint, 2006. http://arxiv.org/abs/math/0611127v1 [math.DR], 2006

3. Borovkov A.A.: On the rate of convergence for the invariance principle. Theory Prob. Appl. 18, 207–225 (1973)

4. Chelkak D., Smirnov S.: Universality in the 2D Ising model and conformal invariance of fermionic observables. Invent. Math. 189, 515–580 (2012)

5. Csörgő M., Révész P.: Strong Approximations in Probability and Statistics. Academic Press, New York (1981)

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Convergence of loop-erased random walk in the natural parameterization;Duke Mathematical Journal;2021-07-15

2. Rates of convergence for the planar discrete Green’s function in Pacman domains;Electronic Journal of Probability;2021-01-01

3. Rate of Convergence of Critical Interfaces to SLE Curves;Trends in Mathematics;2021

4. A support theorem for SLE curves;Electronic Journal of Probability;2020-01-01

5. Transition probabilities for infinite two-sided loop-erased random walks;Electronic Journal of Probability;2019-01-01