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Item Details
Title: PRODUCTS OF RANDOM MATRICES
IN STATISTICAL PHYSICS
By: Andrea Crisanti, Giovanni Paladin, Angelo Vulpiani
Format: Paperback

List price: £99.99


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ISBN 10: 364284944X
ISBN 13: 9783642849442
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 5 January, 2012
Edition: Softcover reprint of the original 1st ed. 1993
Series: Springer Series in Solid-State Sciences 104
Pages: 169
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.
Synopsis: 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.
Illustrations: XIV, 169 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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