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20092026
most citedAnderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method

38 citations · 237 across the 33 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math-ph2012★ 1 cited

Localization for alloy-type models with non-monotone potentials

Martin Tautenhahn

We consider a family of self-adjoint operators [H_ω= - Δ+ λV_ω, \quad ω\in Ω= \bigtimes_{k \in \ZZ^d} \RR,] on the Hilbert space $\ell^2 (\ZZ^d)$ or $L^2 (\RR^d)$. Here denotes…

math.SP2012★ 21 cited

Minami's estimate: beyond rank one perturbation and monotonicity

Martin Tautenhahn, Ivan Veselić

In this note we prove Minami's estimate for a class of discrete alloy-type models with a sign-changing single-site potential of finite support. We apply Minami's estimate to prove…