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- 2001035885 contributor B8939276.
- 2001035885 created "c2001.".
- 2001035885 date "2001".
- 2001035885 date "c2001.".
- 2001035885 dateCopyrighted "c2001.".
- 2001035885 description "Includes bibliographical references (p. [147]-159) and index.".
- 2001035885 description "Machine generated contents note: 1 Getting Started 1 -- Prologue1 -- 1.1 Bound states versus extended states7 -- 1.2 Ergodic operator families11 -- 1.3 Some important examples18 -- 1.4 Our basic models (P+A) and (DIV)21 -- 1.5 Localization and Lifshitz tails: the heuristic picture31 -- 2 Analysis of Anderson-type Models 37 -- Prologue37 -- 2.1 Lifshitz tails for (P+A)39 -- 2.2 Initial length scale estimates44 -- 2.3 Wegner estimates48 -- 2.4 Combes-Thomas estimates54 -- 2.5 Changing cubes62 -- 3 Multiscale Analysis 69 -- Prologue 69 -- 3.1 Idea of the proof and historical notes71 -- 3.2 M ultiscale Analysis76 -- 3.3 Exponential localization90 -- 3.4 Dynamical localization98 -- 3.5 More models108 -- 4 Appendix 111 -- 4.1 A short story of selfadjoint operators111 -- 4.1.1 Welcome to Hilbert space111 -- 4.1.2 Selfadjoint operators and forms114 -- 4.1.3 Schrodinger operators116 -- 4.1.4 Spectra and the Spectral Theorem120 -- 4.1.5 Spectral Types and the RAGE theorem126 -- 4.1.6 Sectorial forms and form-bounded perturbations128 -- 4.1.7 The min-max principle130 -- 4.1.8 Weyl asymptotics131 -- 4.1.9 Auxiliary results from Sobolev space132 -- 4.1.10 Analytic perturbation theory132 -- 4.1.11 Generalized eigenfunction expansions134 -- 4.2 Some basics from probability theory137 -- 4.2.1 Measurable sets and random variables137 -- 4.2.2 Measure and probability138 -- 4.2.3 Independence 139 -- 4.2.4 Product measures140 -- 4.2.5 Ergodicity 142 -- 4.2.6 Monotone class arguments142 -- 5 Aftermath 145 -- References 147 -- Author Index 161 -- Subject Index 165.".
- 2001035885 extent "xvi, 166 p. :".
- 2001035885 identifier "0817642102 (acid-free paper)".
- 2001035885 identifier "3764342102 (acid-free paper)".
- 2001035885 identifier 2001035885-d.html.
- 2001035885 identifier 2001035885.html.
- 2001035885 isPartOf "Progress in mathematical physics ; v. 20".
- 2001035885 issued "2001".
- 2001035885 issued "c2001.".
- 2001035885 language "eng".
- 2001035885 publisher "Boston : Birkhäuser,".
- 2001035885 subject "530.4/13 21".
- 2001035885 subject "Order-disorder models.".
- 2001035885 subject "QC173.4.O4 S76 2001".
- 2001035885 subject "Selfadjoint operators.".
- 2001035885 subject "Wave-motion, Theory of.".
- 2001035885 tableOfContents "Machine generated contents note: 1 Getting Started 1 -- Prologue1 -- 1.1 Bound states versus extended states7 -- 1.2 Ergodic operator families11 -- 1.3 Some important examples18 -- 1.4 Our basic models (P+A) and (DIV)21 -- 1.5 Localization and Lifshitz tails: the heuristic picture31 -- 2 Analysis of Anderson-type Models 37 -- Prologue37 -- 2.1 Lifshitz tails for (P+A)39 -- 2.2 Initial length scale estimates44 -- 2.3 Wegner estimates48 -- 2.4 Combes-Thomas estimates54 -- 2.5 Changing cubes62 -- 3 Multiscale Analysis 69 -- Prologue 69 -- 3.1 Idea of the proof and historical notes71 -- 3.2 M ultiscale Analysis76 -- 3.3 Exponential localization90 -- 3.4 Dynamical localization98 -- 3.5 More models108 -- 4 Appendix 111 -- 4.1 A short story of selfadjoint operators111 -- 4.1.1 Welcome to Hilbert space111 -- 4.1.2 Selfadjoint operators and forms114 -- 4.1.3 Schrodinger operators116 -- 4.1.4 Spectra and the Spectral Theorem120 -- 4.1.5 Spectral Types and the RAGE theorem126 -- 4.1.6 Sectorial forms and form-bounded perturbations128 -- 4.1.7 The min-max principle130 -- 4.1.8 Weyl asymptotics131 -- 4.1.9 Auxiliary results from Sobolev space132 -- 4.1.10 Analytic perturbation theory132 -- 4.1.11 Generalized eigenfunction expansions134 -- 4.2 Some basics from probability theory137 -- 4.2.1 Measurable sets and random variables137 -- 4.2.2 Measure and probability138 -- 4.2.3 Independence 139 -- 4.2.4 Product measures140 -- 4.2.5 Ergodicity 142 -- 4.2.6 Monotone class arguments142 -- 5 Aftermath 145 -- References 147 -- Author Index 161 -- Subject Index 165.".
- 2001035885 title "Caught by disorder : bound states in random media / Peter Stollmann.".
- 2001035885 type "text".