English

A probabilistic proof of the Open Mapping Theorem for analytic functions

Complex Variables 2019-02-20 v1 Probability

Abstract

The conformal invariance of Brownian motion is used to give a short proof of the Open Mapping Theorem for analytic functions.

Keywords

Cite

@article{arxiv.1305.4143,
  title  = {A probabilistic proof of the Open Mapping Theorem for analytic functions},
  author = {Greg Markowsky},
  journal= {arXiv preprint arXiv:1305.4143},
  year   = {2019}
}
R2 v1 2026-06-22T00:18:20.517Z