Lenz, D. and Peyerimhoff, N. and Veselic, I. (2004) 'Integrated density of states for random metrics on manifolds.', Proceedings of the London Mathematical Society., 88 (3). pp. 733-752.
This paper carries over the fundamental properties of random Schroedinger operators to random Laplace-Beltrami operators, that is, Laplacians with random metrics. Namely, we (A) discuss a framework for ergodic, random operators on covering manifolds with randomness entering both via potential and metrics, (B) show measurability of the introduced operators, which implies, in particular, almost sure constancy of their spectral features, (C) prove existence and the selfaveraging property of the integrated density of states together with a Pastur-Shubin type trace formula.
|Keywords:||Integrated density of states, Random metrics, Random operators, Schrödinger operators on manifolds, Spectral density.|
|Full text:||Full text not available from this repository.|
|Publisher Web site:||http://dx.doi.org/10.1112/S0024611503014576|
|Record Created:||26 Apr 2007|
|Last Modified:||08 Apr 2009 16:30|
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