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math.SP2024
Torsional Rigidity on Metric Graphs with Delta-Vertex Conditions
Sedef Özcan, Matthias Täufer
We investigate the torsion function or landscape function and its integral, the torsional rigidity, of Laplacians on metric graphs subject to -vertex conditions. A variational c…
math.SP2024★ 1 cited
Towards a theory of eigenvalue asymptotics on infinite metric graphs: the case of diagonal combs
James B. Kennedy, Delio Mugnolo, Matthias Täufer
We examine diagonal combs, a recently identified class of infinite metric graphs whose properties depend on one parameter. These graphs exhibit a fascinating regime where they poss…