Hypergroups and Quantum Bessel Processes of Non-integer Dimensions
arXiv:1611.04819 · doi:10.1007/s10959-016-0688-2
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 .
12 pages, with corrections to the published version