A short note on strong convergence of q-Gaussians
Abstract
In this note, we prove strong convergence of q-Gaussians with respect to a parameter q, which implies the spectrum of any self-adjoint non-commutative polynomial in q-Gaussians is continuously deformed with respect to q. With Bo\.zejko's Haagerup-type inequality, we follow Brannan's approach to proving the asymptotic strong convergence of the free orthogonal quantum group.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.