A note on invariance of the Cauchy and related distributions
Probability
2019-09-24 v2 Complex Variables
Abstract
It is known that if is an analytic self map of the complex upper half-plane which also maps to itself, and , then preserves the Cauchy distribution. This note concerns three results related to the above fact.
Cite
@article{arxiv.1908.04006,
title = {A note on invariance of the Cauchy and related distributions},
author = {Wooyoung Chin and Paul Jung and Greg Markowsky},
journal= {arXiv preprint arXiv:1908.04006},
year = {2019}
}