Asymptotic semicircular law induced by \(p\)-adic number fields \(\mathbb{Q}_p\) over primes
DOI10.1007/s11785-019-00904-3zbMath1428.11102OpenAlexW2916235085MaRDI QIDQ2008150
Publication date: 22 November 2019
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-019-00904-3
free probabilitysemicircular elements\(p\)-adic number fields \(\mathbb{Q}_p\)Banach \(*\)-probability spacesasymptotic semicircular lawthe semicircular law
Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) (p)-adic theory, local fields (11F85) Complex multiplication and moduli of abelian varieties (11G15) Adèle rings and groups (11R56) Other analytic theory (11R47) Representations of (nonselfadjoint) operator algebras (47L55)
Related Items (1)
Cites Work
- On fractional Brownian motion and wavelets
- On free stochastic processes and their derivatives
- Free semicircular families in free product Banach \(\ast\)-algebras induced by \(p\)-adic number fields over primes \(p\)
- Prime number theorems for Rankin-Selberg \(L\)-functions over number fields
- Aspects of free analysis
- p-adic quantum mechanics
- Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
- Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
- On the equivalence of probability spaces
- Markov measures and extended zeta functions
- Moment problems in an infinite number of variables
- Spectral Theory for Gaussian Processes: Reproducing Kernels, Boundaries, and L2-Wavelet Generators with Fractional Scales
- q-Frames and Bessel Functions
- Krein-Space Operators Induced by Dirichlet Characters
- Free Random Variables
- Conditional expectations, traces, angles between spaces and Representations of the Hecke algebras
- Multiresolution wavelet analysis of integer scale Bessel functions
- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
- A CONCEPTUAL PROOF OF A BASIC RESULT IN THE COMBINATORIAL APPROACH TO FREENESS
- Adelic analysis and functional analysis on the finite Adele ring
- Semicircular elements induced by p-adic number fields
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