127 citations · 384 across the 21 of their papers we have counts for
22 papers
Geodesics Orbiting a Singularity
Daniel Grieser, Jørgen Olsen Lye
We study the behaviour of geodesics on a Riemannian manifold near a generalized conical or cuspidal singularity. We show that geodesics entering a small neighbourhood of the singul…
Spectral geometry on manifolds with fibred boundary metrics I: Low energy resolvent
Daniel Grieser, Mohammad Talebi, Boris Vertman
We study the low energy resolvent of the Hodge Laplacian on a manifold equipped with a fibred boundary metric. We determine the precise asymptotic behavior of the resolvent as a fi…
The Calderón Projector for Fibred Cusp Operators
Karsten Fritzsch, Daniel Grieser, Elmar Schrohe
A Calderón projector for an elliptic operator on a manifold with boundary is a projection from general boundary data to the set of boundary data of solutions of .…
Scales, blow-up and quasimode constructions
Daniel Grieser
In this expository article we show how the concepts of manifolds with corners, blow-ups and resolutions can be used effectively for the construction of quasimodes, i.e. approximate…
A new simple proof of the Aztec diamond theorem
Manuel Fendler, Daniel Grieser
The Aztec diamond of order is the union of lattice squares in the plane intersecting the square . The Aztec diamond theorem states that the number of domino tilings…
Soliton transport in tubular networks: transmission at vertices in the shrinking limit
Hannes Uecker, Daniel Grieser, Zarif Sobirov +2
Soliton transport in tube-like networks is studied by solving the nonlinear Schroedinger equation (NLSE) on finite thickness ("fat") graphs. The dependence of the solution and of t…