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arXiv · 1908.04006

A note on invariance of the Cauchy and related distributions

Wooyoung Chin·Paul Jung·Greg Markowsky
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Abstract

It is known that if $f$ is an analytic self map of the complex upper half-plane which also maps $\mathbb{R}\cup\{\infty\}$ to itself, and $f(i)=i$, then $f$ preserves the Cauchy distribution. This note concerns three results related to the above fact.

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Wooyoung Chin, Paul Jung, Greg Markowsky. 2019-08-12. A note on invariance of the Cauchy and related distributions. https://arxiv.org/abs/1908.04006

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