
Products of Random Matrices
in Statistical Physics
Springer (Publisher)
Published on 5. January 2012
Book
Paperback/Softback
XIV, 169 pages
978-3-642-84944-2 (ISBN)
Description
At the present moment, after the success of the renormalization group in providing a conceptual framework for studying second-order phase tran sitions, we have a nearly satisfactory understanding of the statistical me chanics of classical systems with a non-random Hamiltonian. The situation is completely different if we consider the theory of systems with a random Hamiltonian or of chaotic dynamical systems. The two fields are connected; in fact, in the latter the effects of deterministic chaos can be modelled by an appropriate stochastic process. Although many interesting results have been obtained in recent years and much progress has been made, we still lack a satisfactory understanding of the extremely wide variety of phenomena which are present in these fields. The study of disordered or chaotic systems is the new frontier where new ideas and techniques are being developed. More interesting and deep results are expected to come in future years. The properties of random matrices and their products form a basic tool, whose importance cannot be underestimated. They playa role as important as Fourier transforms for differential equations. This book is extremely interesting as far as it presents a unified approach for the main results which have been obtained in the study of random ma trices. It will become a reference book for people working in the subject. The book is written by physicists, uses the language of physics and I am sure that many physicists will read it with great pleasure.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1993
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XIV, 169 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 11 mm
Weight
295 gr
ISBN-13
978-3-642-84944-2 (9783642849442)
DOI
10.1007/978-3-642-84942-8
Schweitzer Classification
Other editions
Additional editions

Andrea Crisanti | Giovanni Paladin | Angelo Vulpiani
Products of Random Matrices
in Statistical Physics
E-Book
12/2012
Springer
€96.29
Available for download
Andrea Crisanti | Giovanni Paladin | Angelo Vulpiani
Products of Random Matrices
in Statistical Physics
Book
08/1993
Springer
€85.55
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Content
I Background.- 1. Why Study Random Matrices?.- 2. Lyapunov Exponents for PRM.- II Applications.- 3. Chaotic Dynamical Systems.- 4. Disordered Systems.- 5. Localization.- III Miscellany.- 6. Other Applications.- 7. Appendices.- References.