5 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…
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:…
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…
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…