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001 978-3-540-72691-3
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008 100301s2008 gw | s |||| 0|eng d
020 _a9783540726913
_9978-3-540-72691-3
024 7 _a10.1007/978-3-540-72691-3
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
072 7 _aPBT
_2thema
072 7 _aPBWL
_2thema
082 0 4 _a519.2
_223
100 1 _aVeselić, Ivan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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.
300 _aX, 147 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1917
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
856 4 0 _uhttps://doi.org/10.1007/978-3-540-72691-3
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11871
_d11871