On the $\log$-regularity of SLE$_4$

Guillaume Baverez

On the $\log$-regularity of SLE$_4$

Probability 2020-04-30 v2 Mathematical Physics Complex Variables math.MP

Authors: Guillaume Baverez

Abstract

We prove that the welding homeomomorphism of SLE $_4$ is almost surely $\log$ -regular. In a previous version of this work, we had erroneously deduced its removability from this property. Nevertheless, the $\log$ -regularity does provide some information and could lead to future developments.

Cite

@article{arxiv.2004.09462,
  title  = {On the $\log$-regularity of SLE$_4$},
  author = {Guillaume Baverez},
  journal= {arXiv preprint arXiv:2004.09462},
  year   = {2020}
}

Comments

12 pages. Major changes. Due to a mistake in the proof, Theorem 1.1 of the previous version does not hold. This does not affect the part on the $\log$-regularity of SLE$_4$, but its removability cannot be deduced simply from this property

On the $\log$-regularity of SLE$_4$

Abstract

Cite

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