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math-ph2013
Maximal accretive extensions of Schrödinger operators on vector bundles over infinite graphs
Ognjen Milatovic, Francoise Truc
Given a Hermitian vector bundle over an infinite weighted graph, we define the Laplacian associated to a unitary connection on this bundle and study the essential self-adjointness…
math-ph2013★ 1 cited
Generalized Schrödinger semigroups on infinite graphs
Batu Gûneysu, Ognjen Milatovic, Francoise Truc
With appropriate notions of Hermitian vector bundles and connections over weighted graphs which we allow to be locally infinite, we prove Feynman-Kac-type representations for the c…