1 citations · 1 across the 4 of their papers we have counts for
5 papers
Generic properties of the Laplace spectrum and eigenfunctions
Oliver Fürst, Eva-Maria Hekkelman, Malte Leimbach
We prove that the spectrum of the Laplace--Beltrami operator on compact Riemannian manifolds without boundary is generically linearly independent over . Furthermore, we…
Power counting in the spectral action matrix model
Eva-Maria Hekkelman, Teun D. H. van Nuland, Jesse Reimann
We derive power counting formulas for ribbon graph amplitudes that were recently independently discovered in two contexts, namely as a generalization of the Kontsevich model, and a…
A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity
Eva-Maria Hekkelman, Edward A. McDonald
We propose a simple approximation of the noncommutative integral in noncommutative geometry for the Connes--Van Suijlekom paradigm of spectrally truncated spectral triples. A close…
Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions
Eva-Maria Hekkelman, Edward McDonald, Teun D. H. van Nuland
We push the definition of multiple operator integrals (MOIs) into the realm of unbounded operators, using the pseudodifferential calculus from the works of Connes and Moscovici, Hi…
A General Dixmier Trace Formula for the Density of States on Open Manifolds
Eva-Maria Hekkelman, Edward McDonald
We give an abstract formulation of the Dixmier trace formula for the density of states. This recovers prior versions and allows us to provide a Dixmier trace formula for the densit…