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math.AP2023★ 3 cited
Capacity of infinite graphs over non-Archimedean ordered fields
Florian Fischer, Matthias Keller, Anna Muranova +1
In this article we study the notion of capacity of a vertex for infinite graphs over non-Archimedean fields. In contrast to graphs over the real field monotone limits do not need t…
math.AP2023
Sharp Hardy-type inequalities for non-compact harmonic manifolds and Damek-Ricci spaces
Florian Fischer, Norbert Peyerimhoff
We show various sharp Hardy-type inequalities for the linear and quasi-linear Laplacian on non-compact harmonic manifolds with a particular focus on the case of Damek-Ricci spaces.…