28 citations · 178 across the 43 of their papers we have counts for
49 papers
Analysis on fibred cusp spaces
Daniel Grieser, Álvaro Sánchez-Hernández, Boris Vertman
We give a survey of analytic and geometric results on `fibred cusp spaces', a large class of non-compact Riemannian manifolds which include the regular parts of singular spaces wit…
Scattering theory for difference equations with operator coefficients
David Sher, Luis Silva, Boris Vertman +1
We consider a second order difference equation with operator-valued coefficients. More precisely, we study either compact or trace class perturbations of the discrete Laplacian in…
Generalized Yamabe Flows
Jørgen Olsen Lye, Boris Vertman, Mannaim Gennaro Vitti
In this work we introduce a family of conformal flows generalizing the classical Yamabe flow. We prove that for a large class of such flows long-time existence holds, and the argum…
Phase transitions and minimal interfaces on manifolds with conical singularities
Daniel Grieser, Sina Held, Hannes Uecker +1
Using -convergence, we study the Cahn-Hilliard problem with interface width parameter for phase transitions on manifolds with conical singularities. We prove t…
Analytic torsion for fibred boundary metrics and conic degeneration
Jørgen Olsen Lye, Boris Vertman
We study the renormalized analytic torsion of complete manifolds with fibred boundary metrics, also referred to as -metrics. We establish invariance of the torsion under suitabl…
Extremals of determinants for Laplacians on discrete surfaces
Paul Hafemann, Boris Vertman
In this note we pursue a discrete analogue of a celebrated theorem by Osgood, Phillips and Sarnak, which states that in a fixed conformal class of Riemannian metrics of fixed volum…