18 citations · 25 across the 3 of their papers we have counts for
4 papers
Space-time convex functions and sectional curvature
Stephanie B. Alexander, William A. Karr
We show that in Lorentzian manifolds, sectional curvature bounds of the form , as defined by Andersson and Howard, are closely tied to space-time convex and …
Convex Functions and Geodesic Connectedness of Space-times
Stephanie B. Alexander, William A. Karr
This paper explores the relation between convex functions and the geometry of space-times and semi-Riemannian manifolds (an investigation initiated by Gibbons-Ishibashi). Specifica…
Level density and level-spacing distributions of random, self-adjoint, non-Hermitian matrices
Yogesh N. Joglekar, William A. Karr
We investigate the level-density and level-spacing distribution of random matrices where is a (diagonal) inner-product and is a random,…
Numerical approach to the Schrodinger equation in momentum space
William A. Karr, Christopher R. Jamell, Yogesh N. Joglekar
The treatment of the time-independent Schrodinger equation in real-space is an indispensable part of introductory quantum mechanics. In contrast, the Schrodinger equation in moment…