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math.AP2013★ 8 cited
The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs
Batu Güneysu, Markus J. Pflaum
In this paper, we study the formal solution space of a nonlinear PDE in a fiber bundle. To this end, we start with foundational material and introduce the notion of a pfd structure…
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…
math-ph2013★ 8 cited
A Feynman-Kac-Itô Formula for magnetic Schrödinger operators on graphs
Batu Güneysu, Matthias Keller, Marcel Schmidt
In this paper we prove a Feynman-Kac-Itô formula for magnetic Schrödinger operators on arbitrary weighted graphs. To do so, we have to provide a natural and general framework both…