Free Random Variables
Free Distributions Dictated by the Semicircular Law
1st Edition
Published on 12. November 2025
Book
Hardback
124 pages
978-1-041-10346-2 (ISBN)
Description
Free Random Variables: Free Distributions Dictated by the Semicircular Law is particularly concerned with operators which are not self-adjoint, but whose free distributions are dictated by the semicircular law. The book covers operator-theoretic properties and free-distributional data of such operators and investigates operator-algebraic structures induced by those operators.
Features
Includes multiple examples and applications
Suitable for postgraduates and researchers
Features
Includes multiple examples and applications
Suitable for postgraduates and researchers
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Academic and Postgraduate
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 12 mm
Weight
373 gr
ISBN-13
978-1-041-10346-2 (9781041103462)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
11/2025
1st Edition
Chapman and Hall
€231.99
Available for download
E-Book
11/2025
1st Edition
Chapman and Hall
€231.99
Available for download
Person
Ilwoo Cho is a Professor at St. Ambrose University in the Department of Mathematics and Statistics, USA. He completed his Ph.D from the University of Iowa, Department of Mathematics, in 2005. His research interests are Free Probability, Operator Algebra, Operator Theory, Combinatorics, Dynamical Systems, and Hypercomplex Analysis.
Content
I Constructive Analysis of Free Random Variables Followed by the Semicircular Law 1 Introduction 2 Preliminaries 3 Free Distributions of Multi Semicircular Elements 4 A C?-Probability Space Generated by |N|-Many Semicircular Elements 5 Free-Distributional Data on X? 6 Certain Free-Isomorphisms on X? 7 Free Random Variables followed by the Semicircular Law 8 Free Random Variables Followed by the Circular Law 9 Free Random Variables Followed by Free Poisson Distributions 10 Discussions 11 A Structure Theorem of X? 12 Certain Banach-Space Operators Acting on X? 13 A Group-Dynamical System (Z, X? , ?) 14 More About Free-Distributional Data on X [?] II Free Random Variables followed by the Semicircular Law 15 Free Random Variables Followed By The Semicircular Law 16 On the Copies of the C?-Probability Space X? 17 Finitely-Many Free Random Variables Governed by The
Semicircular Law 18 Generalization 19 Applications Bibliography
Semicircular Law 18 Generalization 19 Applications Bibliography