57 citations · 222 across the 49 of their papers we have counts for
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math-ph2010★ 10 cited
Conductivity and the current-current correlation measure
J. M. Combes, F. Germinet, P. D. Hislop
We review various formulations of conductivity for one-particle Hamiltonians and relate them to the current-current correlation measure. We prove that the current-current correlati…
math-ph2010★ 6 cited
Uniform convergence of spectral shift functions
Peter D. Hislop, Peter Müller
The spectral shift function ξ_{L}(E) for a Schrödinger operator restricted to a finite cube of length L in multi-dimensional Euclidean space, with Dirichlet boundary conditions, co…
math.SP2010★ 1 cited
Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth
D. Borthwick, T. J. Christiansen, P. D. Hislop +1
Suppose that is a conformally compact -dimensional manifold that is hyperbolic at infinity in the sense that outside of a compact set the sectional cu…