38 citations · 237 across the 33 of their papers we have counts for
5 papers · 1 filter
Uncertainty principles and lower bounds for Schrödinger operators
Albrecht Böttcher, Peter Stollmann, Martin Tautenhahn
We prove that two different abstract quantitative uncertainty principles are equivalent to the strict positivity of the associated abstract Schrö\-din\-ger operators. We also discu…
Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains (With an Appendix by Albrecht Seelmann)
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +2
We prove and apply two theorems: First, a quantitative, scale-free unique continuation estimate for functions in a spectral subspace of a Schrödinger operator on a bounded or unbou…
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…
Localization criteria for Anderson models on locally finite graphs
Martin Tautenhahn
We prove spectral and dynamical localization for Anderson models on locally finite graphs using the fractional moment method. Our theorems extend earlier results on localization fo…
Spectral properties of discrete alloy-type models
Martin Tautenhahn, Ivan Veselić
We discuss recent results on spectral properties of discrete alloy-type random Schrödinger operators. They concern Wegner estimates and bounds on the fractional moments of the Gree…