Brownian Motion on the Unitary Quantum Group: Construction and Cutoff
Operator Algebras
2025-11-07 v3 Probability
Quantum Algebra
Abstract
In this study, we construct an analog of the Brownian motion on free unitary quantum groups and compute its cutoff profile.
Cite
@article{arxiv.2409.06552,
title = {Brownian Motion on the Unitary Quantum Group: Construction and Cutoff},
author = {Jean Delhaye},
journal= {arXiv preprint arXiv:2409.06552},
year = {2025}
}
Comments
26 pages, 1 figure. This version includes improvements in clarity, expanded comments, revisions to the introduction, and an additional figure compared to the previous version. Definition of the Brownian motion on U_N^+ extended, new limit profiles computed in regards to that. Mistake regarding the Laplace-Beltrami operator on U_N corrected