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arXiv · 1611.04819

Hypergroups and Quantum Bessel Processes of Non-integer Dimensions

Wojciech Matysiak
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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$(δ)$ are analogously constructed with the aid of the Bessel-Kingman hypergroups for all, not necessarily integer, dimensions $δ\ge1$.

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Wojciech Matysiak. 2016-11-15. Hypergroups and Quantum Bessel Processes of Non-integer Dimensions. https://doi.org/10.1007/s10959-016-0688-2

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