Asymptotic semicircular law induced by \(p\)-adic number fields \(\mathbb{Q}_p\) over primes
type: Item
instance of: scholarly article
title: Asymptotic semicircular law induced by \(p\)-adic number fields \(\mathbb{Q}_p\) over primes
zbMATH Open document ID: 1428.11102
author: Ilwoo Cho
published in: Complex Analysis and Operator Theory
publication date: 2019-11-22T00:00:00Z
Mathematics Subject Classification ID: 11F85
Mathematics Subject Classification ID: 11G15
Mathematics Subject Classification ID: 11R47
Mathematics Subject Classification ID: 11R56
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46L54
Mathematics Subject Classification ID: 47L30
Mathematics Subject Classification ID: 47L55
zbMATH DE Number: 7135609
zbMATH Keywords: free probability
zbMATH Keywords: \(p\)-adic number fields \(\mathbb{Q}_p\)
zbMATH Keywords: Banach \(*\)-probability spaces
zbMATH Keywords: semicircular elements
zbMATH Keywords: the semicircular law
zbMATH Keywords: asymptotic semicircular law
MaRDI profile type: Publication
full work available at URL: s11785-019-00904-3
OpenAlex ID: W2916235085
cites work: On fractional Brownian motion and wavelets
cites work: Multiresolution wavelet analysis of integer scale Bessel functions
cites work: On the equivalence of probability spaces
cites work: Moment problems in an infinite number of variables
cites work: Spectral Theory for Gaussian Processes: Reproducing Kernels, Boundaries, and L2-Wavelet Generators with Fractional Scales
cites work: On free stochastic processes and their derivatives
cites work: Free semicircular families in free product Banach \(\ast\)-algebras induced by \(p\)-adic number fields over primes \(p\)
cites work: Adelic analysis and functional analysis on the finite Adele ring
cites work: Q5354688
cites work: Semicircular elements induced by p-adic number fields
cites work: Krein-Space Operators Induced by Dirichlet Characters
cites work: Q4310044
cites work: Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
cites work: Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
cites work: Prime number theorems for Rankin-Selberg \(L\)-functions over number fields
cites work: q-Frames and Bessel Functions
cites work: Markov measures and extended zeta functions
cites work: Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
cites work: Conditional expectations, traces, angles between spaces and Representations of the Hecke algebras
cites work: Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
cites work: A CONCEPTUAL PROOF OF A BASIC RESULT IN THE COMBINATORIAL APPROACH TO FREENESS
cites work: Multiplicative functions on the lattice of non-crossing partitions and free convolution
cites work: Q3145502
cites work: p-adic quantum mechanics
cites work: Q4003475
cites work: Aspects of free analysis
cites work: Free Random Variables
DOI: 10.1007/S11785-019-00904-3
Recommended article: Deformation of semicircular and circular laws via p-adic number fields and sampling of primes
Recommended article: Semicircular elements induced by p-adic number fields
Recommended article: A Barban-Davenport-Halberstam asymptotic for number fields
Recommended article: A p‐adic analogue of Siegel's theorem on sums of squares
Recommended article: The p ‐adic generalization of the Thue‐Siegel‐Roth theorem
Recommended article: Q5109965
Recommended article: Q5749861
Recommended article: On asymptotic distribution on the \({\mathbf a}\)-adic integers
Recommended article: Q5053018
Recommended article: \(p\)-adic asymptotic properties of constant-recursive sequences
description: scientific article; zbMATH DE number 7135609