Poisson convergence on the free Poisson algebra
نویسندگان
چکیده
منابع مشابه
Poisson approximations on the free Wigner chaos
We prove that an adequately rescaled sequence {Fn} of self-adjoint operators, living inside a xed free Wigner chaos of even order, converges in distribution to a centered free Poisson random variable with rate λ > 0 if and only if φ(F 4 n) − 2φ(F 3 n) → 2λ − λ (where φ is the relevant tracial state). This extends to a free setting some recent limit theorems by Nourdin and Peccati (2009), and pr...
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ژورنال
عنوان ژورنال: Bernoulli
سال: 2015
ISSN: 1350-7265
DOI: 10.3150/14-bej638