Bimonotone Brownian Motion
Operator Algebras
2023-11-15 v1
Abstract
We define bi-monotone independence, prove a bi-monotone central limit theorem and use it to study the distribution of bi-monotone Brownian motion, which is defined as the two-dimensional operator process with monotone and antimonotone Brownian motion as components.
Keywords
Cite
@article{arxiv.1708.03510,
title = {Bimonotone Brownian Motion},
author = {Malte Gerhold},
journal= {arXiv preprint arXiv:1708.03510},
year = {2023}
}