27 citations · 113 across the 31 of their papers we have counts for
6 papers · 1 filter
Almost sure purely singular continuous spectrum for quasicrystal models
Christian Seifert
We review recent developments in the spectral theory of continuum one-dimensional quasicystals, yielding purely singular continuous spectrum for these Schrödinger operators. Allowi…
Dirichlet forms for singular diffusion on graphs
Christian Seifert, Jürgen Voigt
We describe operators driving the time evolution of singular diffusion on finite graphs whose vertices are allowed to carry masses. The operators are defined by the method of quadr…
Gordon type Theorem for measure perturbation
Christian Seifert
Generalizing the concept of Gordon potentials to measures we prove a version of Gordon's theorem for measures as potentials and show absence of eigenvalues for these one-dimensiona…
On eigenvalue bounds for a general class of Sturm-Liouville operators
Christian Seifert
We consider Sturm-Liouville operators with measure-valued weight and potential, and positive, bounded diffusion coefficient which is bounded away from zero. By means of a local per…
Airy-type evolution equations on star graphs
Delio Mugnolo, Diego Noja, Christian Seifert
In the present paper the Airy operator on star graphs is defined and studied. The Airy operator is a third order differential operator arising in different contexts, but our main c…
On the spectrum of operator families on discrete groups over minimal dynamical systems
Siegfried Beckus, Daniel Lenz, Marko Lindner +1
It is well known that, given an equivariant and continuous (in a suitable sense) family of selfadjoint operators in a Hilbert space over a minimal dynamical system, the spectrum of…