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math.MG2014
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…
math.MG2014
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…