13 citations · 41 across the 20 of their papers we have counts for
24 papers
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…
A new notion of subharmonicity on locally smoothing spaces, and a conjecture by Braverman, Milatovic, Shubin
Batu Güneysu, Stefano Pigola, Peter Stollmann +1
Given a strongly local Dirichlet space and , we introduce a new notion of --subharmonicity for $L^1_\loc$--functions, which we call \emph{local --shift defectivity},…
A Chern-Simons transgression formula for supersymmetric path integrals on spin manifolds
Sebastian Boldt, Sergio Luigi Cacciatori, Batu Güneysu
Earlier results show that the N = 1/2 supersymmetric path integral on a closed even dimensional Riemannian spin manifold (X,g) can be constructed in a mathematically rigorous way v…
Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature
Mathias Braun, Batu Güneysu
We prove that if the Ricci tensor of a geodesically complete Riemannian manifold , endowed with the Riemannian distance and the Riemannian measure $\…
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…
Nonlinear Calderón-Zygmund inequalities for maps
Batu Güneysu, Stefano Pigola
Being motivated by the problem of deducing -bounds on the second fundamental form of an isometric immersion from -bounds on its mean curvature vector field, we prove a (n…
Kac regular sets and Sobolev spaces in geometry, probability and quantum physics
Francesco Bei, Batu Güneysu
Let be an open subset of a Riemannian manifold and let $V:M\to \IR$ be a Kato decomposable potential. With the natural form domain of the Schröd…
-interpolation inequalities and global Sobolev regularity results (with an appendix by Ognjen Milatovic)
Batu Güneysu, Stefano Pigola
On any complete Riemannian manifold and for all , we prove a family of second order -interpolation inequalities that arise from the following simple $L^…
On the geometry of semiclassical limits on Dirichlet spaces
Batu Güneysu
This paper is a contribution to semiclassical analysis for abstract Schrödinger type operators on locally compact spaces: Let be a metrizable seperable locally compact space, l…
Quantitative C^1 - estimates on manifolds
Batu Güneysu, Stefano Pigola
We prove a -elliptic estimate of the form valid on any comple…
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…
q-parabolicity of stratified pseudomanifolds and other singular spaces
Franceso Bei, Batu Güneysu
The main result of this paper is a sufficient condition in order to have a compact Thom-Mather stratified pseudomanifold endowed with a -iterated edge metric on its regula…
Scattering theory of the Hodge-Laplacian under a conformal perturbation
Francesco Bei, Batu Güneysu, Jörn Müller
Let and be Riemannian metrics on a noncompact manifold , which are conformally equivalent. We show that under a very mild \emph{first order} control on the confo…
The Calderón-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds
Batu Güneysu, Stefano Pigola
We introduce the concept of Calderón-Zygmund inequalities on Riemannian manifolds. For , these are inequalities of the form $$ \left\Vert \mathrm{Hess}\left( u\right) \…
-elliptic regularity and on the whole -scale on arbitrary manifolds
Davide Guidetti, Batu Güneysu, Diego Pallara
We define abstract Sobolev type spaces on -scales, , on Hermitian vector bundles over possibly noncompact manifolds, which are induced by smooth meas…
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…
Sequences of Laplacian cut-off functions
Batu Güneysu
We derive several new applications of the concept of sequences of Laplacian cut-off functions on Riemannian manifolds (which we prove to exist on geodesically complete Riemannian m…
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…
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,…