A quantitative fourth moment theorem in free probability theory
نویسندگان
چکیده
A quantitative “fourth moment theorem” for any self-adjoint element in a homogeneous Wigner chaos is provided: the Wasserstein distance controlled by from fourth to two. The proof uses free counterpart of Stein discrepancy. On way, analogues WS inequality and WSH are established.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2021
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2021.107579