{"product_id":"caught-by-disorder-bound-states-in-random-media-progress-in-mathematical-physics-0817642102","title":"Caught by Disorder: Bound States in Random Media (Progress in Mathematical Physics)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0817642102\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Stollmann, Peter\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eThe study of disorder has generated enormous research activity in mathematics and physics. Over the past 15 years various aspects of the subject have changed a number of paradigms and have inspired the discovery of deep mathematical techniques to deal with complex problems arising from the effects of disorder. One important effect is a phenomenon called localization, which describes the very strange behavior of waves in random media---the fact that waves, instead of traveling through space as they do in ordered environments, stay in a confined region (caught by disorder). To date, there is no treatment of this subject in monograph or textbook form. This book fills that gap. Caught by Disorder presents: * an introduction to disorder that can be grasped by graduate students in a hands-on way * a concise, mathematically rigorous examination of some particular models of disordered systems * a detailed application of the localization phenomenon, worked out in two typical model classes that keep the technicalities at a reasonable level * a thorough examination of new mathematical machinery, in particular, the method of multiscale analysis * a number of key unsolved problems * an appendix containing the prerequisites of operator theory, as well as other proofs * examples, illustrations, comprehensive bibliography, author and keyword index Mathematical background for this book requires only a knowledge of partial differential equations, functional analysis---mainly operator theory and spectral theory---and elementary probability theory. The work is an excellent text for a graduate course or seminar in mathematical physics or serves as a standard reference for specialists.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":68081005068576,"sku":"NEW0817642102","price":70.41,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/515zJ90YwgL.jpg?v=1793518313","url":"https:\/\/miakarts.com\/products\/caught-by-disorder-bound-states-in-random-media-progress-in-mathematical-physics-0817642102","provider":"Miakarts Books","version":"1.0","type":"link"}