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E-raamat: Free Random Variables: Free Distributions Dictated by the Semicircular Law

(Saint Ambrose University, Iowa)
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Free Random Variables: Free Distributions Dictated by the Semicircular LawSuurem pilt
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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.



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.

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
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.
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