Deformation of semicircular and circular laws via p-adic number fields and sampling of primes

In this paper, we study semicircular elements and circular elements in a certain Banach \(*\)-probability space \((\mathfrak{LS},\tau ^{0})\) induced by analysis on the \(p\)-adic number fields \(\mathbb{Q}_{p}\) over primes \(p\). In particular, by truncating the set \(\mathcal{P}\) of all primes f...

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Detalhes bibliográficos

Principais autores:	Ilwoo Cho, Palle E. T. Jorgensen
Formato:	Artigo
Idioma:	Inglês
Publicado em:	AGH Univeristy of Science and Technology Press 2019-01-01
coleção:	Opuscula Mathematica
Assuntos:	free probability primes \(p\)-adic number fields banach \(*\)-probability spaces semicircular elements circular elements truncated linear functionals
Acesso em linha:	https://www.opuscula.agh.edu.pl/vol39/6/art/opuscula_math_3944.pdf
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