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OverviewAt 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. Full Product DetailsAuthor: Andrea Crisanti , Giovanni Paladin , Angelo VulpianiPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 1993 Volume: 104 Dimensions: Width: 15.50cm , Height: 1.00cm , Length: 23.50cm Weight: 0.295kg ISBN: 9783642849442ISBN 10: 364284944 Pages: 169 Publication Date: 05 January 2012 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsI 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |