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Spectral Theory of Random Schrödinger Operators: A Genetic Introduction: 1498 (Lecture Notes in Mathematics, 1498) - Softcover

 
9783540549758: Spectral Theory of Random Schrödinger Operators: A Genetic Introduction: 1498 (Lecture Notes in Mathematics, 1498)

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The interplay between the spectral theory of Schr|dinger operators and probabilistic considerations forms the main theme of these notes, written for the non-specialist reader and intended to provide a brief and elementaryintroduction to this field. An attempt is made to show basic ideas in statu nascendi and to follow their evaluation from simple beginnings through to more advanced results. The term "genetic" in the title refers to this proceedure. The author concentrates on 2 topics which, in the history of the subject, have been of major conceptual importance - on the one hand the Laplacian is a random medium and the left end of its spectrum (leading to large deviation problems for Brownian motion and the link to thenotion of entropy) and on the other, Schr|dinger operators with general ergodic potentials in one-dimensional space. Ideas and concepts are explained in the simplest, possible setting and by means of a few characteristic problems with heuristic arguments preceding rigorous proofs.

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Lang, Reinhard,
ISBN 10: 3540549757 ISBN 13: 9783540549758
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125 pages : graph. Darst. Ex-Library book in good condition. 9783540549758 Sprache: Englisch Gewicht in Gramm: 330. Seller Inventory # 1162074

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Lang, Reinhard
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ISBN 10: 3540549757 ISBN 13: 9783540549758
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Lang, Reinhard:
Published by Springer, 22.02.2009., 2009
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Taschenbuch. Auflage: 1991. 136 Seiten Einband fleckig, Papier gebräunt, sonst gut erhalten. Sprache: Englisch Gewicht in Gramm: 90. Seller Inventory # 63667

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The interplay between the spectral theory of Schr|dingeroperators and probabilistic considerations forms the maintheme of these notes, written for the non-specialist readerand intended to provide a brief and elementaryintroductionto this field. An attempt is made to show basic ideas instatu nascendi and to follow their evaluation from simplebeginnings through to more advanced results. The term'genetic' in the title refers to this proceedure. The authorconcentrates on 2 topics which, in the history of thesubject, have been of major conceptual importance - on theone hand the Laplacian is a random medium and the left endof its spectrum (leading to large deviation problems forBrownian motion and the link to thenotion of entropy) andon the other, Schr|dinger operators with general ergodicpotentials in one-dimensional space. Ideas and concepts areexplained in the simplest, possible setting and by means ofa few characteristic problems with heuristic argumentspreceding rigorous proofs. 136 pp. Englisch. Seller Inventory # 9783540549758

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The interplay between the spectral theory of Schr|dingeroperators and probabilistic considerations forms the maintheme of these notes, written for the non-specialist readerand intended to provide a brief and elementaryintroductionto this field. An attempt is made to show basic ideas instatu nascendi and to follow their evaluation from simplebeginnings through to more advanced results. The term'genetic' in the title refers to this proceedure. The authorconcentrates on 2 topics which, in the history of thesubject, have been of major conceptual importance - on theone hand the Laplacian is a random medium and the left endof its spectrum (leading to large deviation problems forBrownian motion and the link to thenotion of entropy) andon the other, Schr|dinger operators with general ergodicpotentials in one-dimensional space. Ideas and concepts areexplained in the simplest, possible setting and by means ofa few characteristic problems with heuristic argumentspreceding rigorous proofs. Seller Inventory # 9783540549758

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