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Category: Journal of Mathematical Physics

Stability of a Szegő-type asymptotics

Stability of a Szegő-type asymptotics

Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. We consider a multi-dimensional continuum Schrödinger operator H, which is given by a perturbation of the negative Laplacian by a compactly supported bounded potential. We show that fo…

Winding number statistics for chiral random matrices: Averaging ratios of determinants with parametric dependence

Winding number statistics for chiral random matrices: Averaging ratios of determinants with parametric dependence

Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. Topological invariance is a powerful concept in different branches of physics as they are particularly robust under perturbations. We generalize the ideas of computing the statistics o…