2 papers
math.MG2021
Invariant Center Power and Elliptic Loci of Poncelet Triangles
Mark Helman, Dominique Laurain, Ronaldo Garcia +1
We study center power with respect to circles derived from Poncelet 3-periodics (triangles) in a generic pair of ellipses as well as loci of their triangle centers. We show that (i…
math.SP2019
Random Hamiltonians with Arbitrary Point Interactions
David Damanik, Jake Fillman, Mark Helman +2
We consider disordered Hamiltonians given by the Laplace operator subject to arbitrary random self-adjoint singular perturbations supported on random discrete subsets of the real l…