Continuity of integrated density of states—independent randomness - Krishna - 2007 () Citation Context ... no need to pass to selfadjoint dilations; for B a rank one operator, the Birman-Schwinger principle gives a scalar expression immediately so that one does not need to refer to spectral...
摘要: We consider the Riemannian universal covering of a compact manifold M = X /Γ and assume that Γ is amenable. We show the existence of a (nonrandom) integrated density of states for an ergodic random family of Schrdinger operators on X ....
Warzel, The integrated density of states and its absolute continuity for magnetic Schrödinger operators with unbounded random potentials, math-ph Preprint 0010013 available at http://xxx.uni-augsburg.de/abs/math-ph W. Kirsgh, Random Schrödinger operators: a course. In: Schrödinger oper-...
We investigate the integrated density of states of a Sturm–Liouville operator d dm d dx when the measure m is constructed from a self-similar measure on the interval [0,1]. We show that this involves the dynamics of a rational map on the complex projective plane P 2, and we give an...
We establish new regularity results for the integrated density of states, as well as a quantitative version of a "Thouless formula", as previously considered by Craig and Simon, for real energies and with rates of convergence. The main ingredient is a large deviation theorem for the Green's ...
Abstract. It is shown that gauge field-dependent fermion Dirac operators from lattice QCD form an ergodic operator family in the probabilistic sense, provided the gauge field is an ergodic random field. As a consequence, the integrated density of states
We investigate smoothness properties of the integrated density of states ( ids ) for random Schrodinger operators on a multidimensional strip lattice, where only the potentials on the "top surface" of this lattice have a distribution with some regularity.We view the eigenvalue equation on the strip...
We prove an estimate on the difference of the number of eigenvalues for Schrdinger operators with Dirichlet and Neumann boundary conditions in large boxes. In the proof, we use Krein's theory of the spectral shift function. As an application, we show that the integrated density of states is ...
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The effect of injection electrodes on the determination of the density of states in aSi:H by the space-charge-limited-current technique The electric field at the interface between the n-layer and the central i-region has been used to describe the injection properties of the electrode, i.e. ...