Brownian Motion on the Unitary Quantum Group: Construction and Cutoff
Jean Delhaye
TL;DR
This paper constructs a quantum analog of Brownian motion on free unitary quantum groups and analyzes its cutoff profile, advancing understanding of stochastic processes in quantum algebraic structures.
Contribution
It introduces a novel construction of Brownian motion on free unitary quantum groups and computes its cutoff profile, a new result in quantum stochastic analysis.
Findings
Constructed Brownian motion on free unitary quantum groups
Computed the cutoff profile for the quantum process
Provides insights into quantum stochastic dynamics
Abstract
In this study, we construct an analog of the Brownian motion on free unitary quantum groups and compute its cutoff profile.
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Taxonomy
Topicsadvanced mathematical theories · Spectral Theory in Mathematical Physics · Stochastic processes and statistical mechanics