57 citations · 222 across the 49 of their papers we have counts for
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Some trace monotonicity properties and applications
J. -M. Combes, P. D. Hislop
We present some results on the monotonicity of some traces involving functions of self-adjoint operators with respect to the natural ordering of their associated quadratic forms. W…
Decorrelation estimates for random Schrödinger operators with non rank one perturbations
Peter D. Hislop, M. Krishna
We prove decorrelation estimates for generalized lattice Anderson models on constructed with finite-rank perturbations in the spirit of Klopp \cite{klopp}. These are applied…
The multiplicity of eigenvalues of the Hodge Laplacian on 5-dimensional compact manifolds
Megan E. Gier, Peter D. Hislop
We study multiplicity of the eigenvalues of the Hodge Laplacian on smooth, compact Riemannian manifolds of dimension five for generic families of metrics. We prove that generically…
Band functions in the presence of magnetic steps
Peter D. Hislop, Nicolas Popoff, Nicolas Raymond +1
We complete the analysis of the band functions for two-dimensional magnetic Schrödinger operators with piecewise constant magnetic fields. The discontinuity of the magnetic field c…