Hypergroups and Quantum Bessel Processes of Non-integer Dimensions
Probability
2016-11-16 v1
Abstract
It is demonstrated how to use certain family of commutative hypergroups to provide a universal construction of Biane's quantum Bessel processes of all dimensions not smaller than 1. The classical Bessel processes BES are analogously constructed with the aid of the Bessel-Kingman hypergroups for all, not necessarily integer, dimensions .
Cite
@article{arxiv.1611.04819,
title = {Hypergroups and Quantum Bessel Processes of Non-integer Dimensions},
author = {Wojciech Matysiak},
journal= {arXiv preprint arXiv:1611.04819},
year = {2016}
}
Comments
12 pages, with corrections to the published version