Geodesic
Initial length scale estimate for waveguides with some random singular potentials
Ufa mathematical journal, Tome 7 (2015) no. 2, pp. 33-54

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In this work we consider three examples of random singular perturbations in multi-dimensional models of waveguides. These perturbations are described by a large potential supported on a set of a small measure, by a compactly supported fast oscillating potential, and by a delta-potential. In all cases we prove initial length scale estimate.
Keywords: random operator, initial length scale estimate, small parameter, spectral localization.
Mots-clés : perturbation 
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     title = {Initial length scale estimate for waveguides with some random singular potentials},
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D.I. Borisov; R. Kh. Karimov; T. F. Sharapov. Initial length scale estimate for waveguides with some random singular potentials. Ufa mathematical journal, Tome 7 (2015) no. 2, pp. 33-54. http://geodesic.mathdoc.fr/item/UFA_2015_7_2_a2/