منابع مشابه
Localization for a Matrix-valued Anderson Model
We study localization properties for a class of one-dimensional, matrix-valued, continuous, random Schrödinger operators, acting on L2(R) ⊗ C , for arbitrary N ≥ 1. We prove that, under suitable assumptions on the Fürstenberg group of these operators, valid on an interval I ⊂ R, they exhibit localization properties on I, both in the spectral and dynamical sense. After looking at the regularity ...
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The Parabolic Anderson Model
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We consider the following stochastic partial differential equation: ∂u ∂t = 1 2 ∆u + κu ˙ F , for x ∈ R d in dimension d ≥ 3, where ˙ F (t, x) is a mean zero Gaussian noise with the singular covariance E ˙ F (t, x) ˙ F (t, y) = δ(t − s) |x − y| 2. Solutions u t (dx) exist as singular measures, under suitable assumptions on the initial conditions and for sufficiently small κ. We investigate vari...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 1997
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(97)00420-9