English

On the smoothness of the partition function for multiple Schramm-Loewner evolutions

Probability 2018-11-14 v1

Abstract

We consider the measure on multiple chordal Schramm-Loewner evolution (SLEκSLE_\kappa) curves. We establish a derivative estimate and use it to give a direct proof that the partition function is C2C^2 if κ<4\kappa<4.

Cite

@article{arxiv.1710.00854,
  title  = {On the smoothness of the partition function for multiple Schramm-Loewner evolutions},
  author = {Mohammad Jahangoshahi and Gregory F. Lawler},
  journal= {arXiv preprint arXiv:1710.00854},
  year   = {2018}
}
R2 v1 2026-06-22T22:01:35.373Z