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math.SP2018
Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure
Bobo Hua, Matthias Keller, Michael Schwarz +1
In this note we study the eigenvalue growth of infinite graphs with discrete spectrum. We assume that the corresponding Dirichlet forms satisfy certain Sobolev-type inequalities an…
math.SP2017
Courant's Nodal Domain Theorem for Positivity Preserving Forms
Matthias Keller, Michael Schwarz
We introduce a notion of nodal domains for positivity preserving forms. This notion generalizes the classical ones for Laplacians on domains and on graphs. We prove the Courant nod…