000 | 03198nam a22005175i 4500 | ||
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001 | 978-3-540-72691-3 | ||
003 | DE-He213 | ||
005 | 20190213151800.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2008 gw | s |||| 0|eng d | ||
020 |
_a9783540726913 _9978-3-540-72691-3 |
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024 | 7 |
_a10.1007/978-3-540-72691-3 _2doi |
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050 | 4 | _aQA273.A1-274.9 | |
050 | 4 | _aQA274-274.9 | |
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_aPBT _2bicssc |
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_aMAT029000 _2bisacsh |
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_aPBT _2thema |
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_aPBWL _2thema |
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082 | 0 | 4 |
_a519.2 _223 |
100 | 1 |
_aVeselić, Ivan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aExistence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators _h[electronic resource] / _cby Ivan Veselić. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
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300 |
_aX, 147 p. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1917 |
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505 | 0 | _aRandom Operators -- Existence of the Integrated Density of States -- Wegner Estimate -- Wegner’s Original Idea. Rigorous Implementation -- Lipschitz Continuity of the IDS. | |
520 | _aThe theory of random Schrödinger operators is devoted to the mathematical analysis of quantum mechanical Hamiltonians modeling disordered solids. Apart from its importance in physics, it is a multifaceted subject in its own right, drawing on ideas and methods from various mathematical disciplines like functional analysis, selfadjoint operators, PDE, stochastic processes and multiscale methods. The present text describes in detail a quantity encoding spectral features of random operators: the integrated density of states or spectral distribution function. Various approaches to the construction of the integrated density of states and the proof of its regularity properties are presented. The setting is general enough to apply to random operators on Riemannian manifolds with a discrete group action. References to and a discussion of other properties of the IDS are included, as are a variety of models beyond those treated in detail here. | ||
650 | 0 | _aDistribution (Probability theory. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 1 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540838654 |
776 | 0 | 8 |
_iPrinted edition: _z9783540726890 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1917 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-72691-3 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
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