Spherical Minkowski content and natural parametrization on the sphere for Schramm-Loewner evolution

Tianyu Wei; Wanyang Dai

Spherical Minkowski content and natural parametrization on the sphere for Schramm-Loewner evolution

Probability 2022-11-21 v3

Authors: Tianyu Wei , Wanyang Dai

Abstract

Studying SLE $_{\kappa}$ on $S^2$ provides a new and interesting perspective for the conformality of some 2-dimensional physical models. We prove the existence and some basic properties of the spherical Minkowski content of SLE $_{\kappa}$ , which is finite and can be viewed as the natural parametrization of SLE $_{\kappa}$ on $S^2$ .

Keywords

Schramm-Loewner evolution Spherical Minkowski content Natural parametrization Conformality

Cite

@article{arxiv.2211.06242,
  title  = {Spherical Minkowski content and natural parametrization on the sphere for Schramm-Loewner evolution},
  author = {Tianyu Wei and Wanyang Dai},
  journal= {arXiv preprint arXiv:2211.06242},
  year   = {2022}
}

Comments

The co-author Wanyang Dai does not agree to the submission, because he has not checked the article carefully and doubts there are some mistakes not found. As the submitting author, I apologize for not getting consent from the co-author

Spherical Minkowski content and natural parametrization on the sphere for Schramm-Loewner evolution

Abstract

Keywords

Cite

Comments

Related papers