10 citations · 24 across the 17 of their papers we have counts for
22 papers
Multigraphs and Time Ordered Isserlis-Wick formulae
Sergio Cacciatori, Batu Güneysu, Sebastian Wündsch
Given a m-dimensional Gaussian process and polynomial m variables with real coefficients, we calculate the induced path odered exponenial in two different ways: one is purely algeb…
Strongly continuous fields of operators over varying Hilbert spaces
Ali BenAmor, Batu Güneysu, Thomas Kalmes +1
After introducing a natural notion of continuous fields of locally convex spaces, we establish a new theory of strongly continuous families of possibly unbounded self-adjoint opera…
Lower bounds on the normal injectivity radius of hypersurfaces and bounded geometries on manifolds with boundary
Sebastian Boldt, Batu Güneysu, Stefano Pigola
We prove for the first time a pointwise lower estimate of the normal injectivity radius of an embedded hypersurface in an arbitrary Riemannian manifold. Main applications include:…
A note on the scattering theory of Kato-Ricci manifolds
Batu Güneysu, Maxime Marot
In this note we prove a new criterion for the existence and completeness of the wave operators corresponding to the Laplace-Beltrami operators corresponding to two Riemannian…
Fermionic Dyson expansions and stochastic Duistermaat-Heckman localization on loop spaces
Batu Güneysu, Jonas Miehe
Given a self-adjoint operator and (appropriate) densely defined and closed operators in a Hilbert space , we provide a systematic study…
Neumann cut-offs and essential self-adjointness on complete Riemannian manifolds with boundary
Davide Bianchi, Batu Güneysu, Alberto G. Setti
We generalize some fundamental results for noncompact Riemannian manfolds without boundary, that only require completeness and no curvature assumptions, to manifolds with boundary:…
Locally convex aspects of the Kato and the Dynkin class on manifolds
Batu Güneysu, Kazuhiro Kuwae
We consider the Kato and the Dynkin class and their local counterparts on a smooth Riemannian manifold as Fréchet spaces. Based on recent results by Carron, Mondello and Tewodrose…
Feynman-Kac formula for perturbations of order and noncommutative geometry
Sebastian Boldt, Batu Güneysu
Let be a differential operator of order on a complex metric vector bundle with metric connection over a possibly noncompact Riema…
Scattering Theory and Spectral Stability under a Ricci Flow for Dirac Operators
Sebastian Boldt, Batu Güneysu
Given a noncompact spin manifold with a fixed topological spin structure and two complete Riemannian metrics and on with bounded sectional curvatures, we prove a cr…
Hölder estimates for magnetic Schrödinger semigroups in from mirror coupling
Oliver Fürst, Batu Güneysu
We use the mirror coupling of Brownian motion to show that under a -dependent Kato type assumption (which is satisfied under a suitable -assumption on the electro-…
spaces and the geometry of multi-particle Schrödinger semigroups
Batu Güneysu
With an space for some , , let be the self-adjoint Laplacian induced by the underlying Ch…
Molecules as metric measure spaces with Kato-bounded Ricci curvature
Batu Güneysu, Max von Renesse
Set , with the ground state of an arbitrary molecule with electrons in the infinite mass limit (neglecting spin/statistics). Let $Σ\subset \IR^{3…
The Chern Character of θ-summable Fredholm Modules over dg Algebras and Localization on Loop Space
Batu Güneysu, Matthias Ludewig
We introduce the notion of a {\vartheta}-summable Fredholm module over a locally convex dg algebra Ω and construct its Chern character as a cocycle on the entire cyclic complex of…
Odd characteristic classes in entire cyclic homology and equivariant loop space homology
Sergio Cacciatori, Batu Güneysu
Given a compact manifold and we construct a Chern character which lives in the odd part of the equivariant (entire) cycl…
Covariant Schrödinger semigroups on Riemannian manifolds
Batu Güneysu
This monograph develops the theory of covariant Schrödinger semigroups acting on sections of vector bundles over noncompact Riemannian manifolds from scratch. Contents: I. Sobolev…
The BMS conjecture
Batu Güneysu
I explain an open conjecture by Braverman/Milatovic/Shubin (BMS) on the positivity of square integrable solutions of on a geodescially complete Riemannian manif…
Scattering theory without injectivity radius assumptions and spectral stability for the Ricci flow
Batu Güneysu, Anton Thalmaier
We prove a completely new integral criterion for the existence and completeness of the wave operators corresponding to the (unique self-adjoint realiz…
Heat kernel estimates and the relative compactness of perturbations by potentials
Jochen Brüning, Batu Güneysu
We consider a self-adjoint non-negative operator in a Hilbert space . We assume that the semigroup is defined by an integr…
On the semimartingale property of Brownian bridges on complete manifolds
Batu Güneysu
I prove that every adapted Brownian bridge on a geodesically complete connected Riemannian manifold is a semimartingale including its terminal time, without any further assumptions…
Semiclassical limits of quantum partition functions on infinite graphs
Batu Güneysu
We prove that if denotes the operator corresponding to the canonical Dirichlet form on a possibly locally infinite weighted graph , and if is such…
On generalized Schrödinger semigroups
Batu Güneysu
We extend the Feynman-Kac formula for Schrödinger type operators on vector bundles over noncompact Riemannian manifolds to possibly very singular potentials that appear in hydrogen…
Multiplicative matrix-valued functionals and the continuity properties of semigroups correspondings to partial differential operators with matrix-valued coefficients
Batu Güneysu
We define and examine certain matrix-valued multiplicative functionals with local Kato potential terms and use probabilistic techniques to prove that the semigroups of the correspo…