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arXiv · 1708.03510

Bimonotone Brownian Motion

Malte Gerhold
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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.

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Malte Gerhold. 2017-08-11. Bimonotone Brownian Motion. https://doi.org/10.1142/9789811275999_0005

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