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I. Cho, On Dynamical Systems Induced by p-Adic Number Fields, Opuscula Math., 35, no. 4, (2015). 445-484.

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Article

Difference between Semicircular-like Laws Induced by p-Adic Number Fields and the Semicircular Law

1Department of Mathematics & Statistics, Saint Ambrose University, Davenport, Iowa, U. S. A.


Turkish Journal of Analysis and Number Theory. 2017, Vol. 5 No. 5, 165-190
DOI: 10.12691/tjant-5-5-4
Copyright © 2017 Science and Education Publishing

Cite this paper:
Ilwoo Cho. Difference between Semicircular-like Laws Induced by p-Adic Number Fields and the Semicircular Law. Turkish Journal of Analysis and Number Theory. 2017; 5(5):165-190. doi: 10.12691/tjant-5-5-4.

Correspondence to: Ilwoo  Cho, Department of Mathematics & Statistics, Saint Ambrose University, Davenport, Iowa, U. S. A.. Email: choilwoo@sau.edu

Abstract

In this paper, we study "semicircular-like" elements in free product Banach *-algebras induced by Haar-measurable functions over p-adic number fields , for primes p. And we investigate how the free distributions of operators generated by our mutually-free weighted-semicircular elements are close enough to (or far from) those of free reduced words generated by arbitrary mutually-free semicircular elements.

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