Free Random Variables: Free Distributions Dictated by the Semicircular Law: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Autor Ilwoo Choen Limba Engleză Hardback – 12 noi 2025
Features
- Includes multiple examples and applications
- Suitable for postgraduates and researchers
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Specificații
ISBN-13: 9781041103462
ISBN-10: 1041103468
Pagini: 132
Dimensiuni: 156 x 234 x 12 mm
Greutate: 0.37 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Monographs and Research Notes in Mathematics
ISBN-10: 1041103468
Pagini: 132
Dimensiuni: 156 x 234 x 12 mm
Greutate: 0.37 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Public țintă
Academic and PostgraduateCuprins
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 Xϕ 6 Certain Free-Isomorphisms on Xϕ 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 Xτ 12 Certain Banach-Space Operators Acting on Xτ 13 A Group-Dynamical System (Z, Xτ , α) 14 More About Free-Distributional Data on X [Γ] 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 Xτ 17 Finitely-Many Free Random Variables Governed by The
Semicircular Law 18 Generalization 19 Applications Bibliography
Semicircular Law 18 Generalization 19 Applications Bibliography
Notă biografică
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.
Descriere
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.