23 citations · 65 across the 22 of their papers we have counts for
3 papers · 1 filter
Geometry and spectrum of rapidly branching graphs
Matthias Keller, Felix Pogorzelski, Florentin Münch
We study graphs whose vertex degree tends and which are, therefore, called rapidly branching. We prove spectral estimates, discreteness of spectrum, first order eigenvalue and Weyl…
The Ihara Zeta function for infinite graphs
Daniel Lenz, Felix Pogorzelski, Marcel Schmidt
We put forward the concept of measure graphs. These are (possibly uncountable) graphs equipped with an action of a groupoid and a measure invariant under this action. Examples incl…
Sectional curvature of polygonal complexes with planar substructures
Matthias Keller, Norbert Peyerimhoff, Felix Pogorzelski
In this paper we introduce a class of polygonal complexes for which we can define a notion of sectional combinatorial curvature. These complexes can be viewed as generalizations of…