Bimonotone Brownian Motion

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.

References in corpus (1)

• Categorial Independence and Lévy Processes

Cited by in corpus (4)

• Categorial Independence and Lévy Processes
• Bi-monotonic independence for pairs of algebras
• Schoenberg correspondence for multifaced independence
• A quantum remark on biholomorphic mappings on the unit ball