13 citations · 41 across the 20 of their papers we have counts for
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Asymptotic Equivalence of Identification Operators in Geometric Scattering Theory
Batu Güneysu
Given two measures and on a measurable space such that for some bounded measurable function , there exist two natura…
Scattering the geometry of weighted graphs
Batu Güneysu, Matthias Keller
Given two weighted graphs , with and , we prove a weighted -criterion for the existence and completeness of the wave operators…
Heat kernels in the context of Kato potentials on arbitrary manifolds
Batu Güneysu
By introducing the concept of \emph{Kato control pairs} for a given Riemannian minimal heat kernel, we prove that on every Riemannian manifold the Kato class $\mathcal{K}(M…
Recent probabilistic results on covariant Schrödinger operators on infinite weighted graphs
Batu Güneysu, Ognjen Milatovic
We review recent probabilistic results on covariant Schrödinger operators on vector bundles over (possibly locally infinite) weighted graphs, and explain applications like semiclas…
Stochastic differential equations for models of non-relativistic matter interacting with quantized radiation fields
Batu Güneysu, Oliver Matte, Jacob Schach Møller
We discuss Hilbert space-valued stochastic differential equations associated with the heat semi-groups of the standard model of non-relativistic quantum electrodynamics and of corr…
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…
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…
Path integrals and the essential self-adjointness of differential operators on noncompact manifolds
Batu Güneysu, Olaf Post
We consider Schrödinger operators on possibly noncompact Riemannian manifolds, acting on sections in vector bundles, with locally square integrable potentials whose negative part i…
Nonrelativistic hydrogen type stability problems on nonparabolic 3-manifolds
Batu Güneysu
We extend classical Euclidean stability theorems corresponding to the nonrelativistic Hamiltonians of ions with one electron to the setting of non parabolic Riemannian 3-manifolds.
Kato's inequality and form boundedness of Kato potentials on arbitrary Riemannian manifolds
Batu Güneysu
Let be a Riemannian manifold with Laplace-Beltrami operator and let be a Hermitian vector bundle with a Hermitian covariant derivative . Furthermore,…