English

Up-to-constants bounds on the two-point Green's function for SLE curves

Probability 2015-03-29 v1

Abstract

The Green's function for the chordal Schramm-Loewner evolution SLEκSLE_\kappa for 0<κ<80 < \kappa < 8, gives the normalized probability of getting near points. We give up-to-constant bounds for the two-point Green's function.

Cite

@article{arxiv.1503.06689,
  title  = {Up-to-constants bounds on the two-point Green's function for SLE curves},
  author = {Gregory F. Lawler and Mohammad A. Rezaei},
  journal= {arXiv preprint arXiv:1503.06689},
  year   = {2015}
}

Comments

16 pages. Part of arXiv:1203.3259 intended for publication

R2 v1 2026-06-22T08:59:40.900Z