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math-ph2017★ 8 cited
Analysis of Dirichlet forms on graphs
Sebastian Haeseler
In this thesis, we study connections between metric and combinatorial graphs from a Dirichlet space point of view.
math-ph2011★ 20 cited
Heat kernel estimates and related inequalities on metric graphs
Sebastian Haeseler
We consider metric graphs with Kirchhoff boundary conditions. We study the intrinsic metric, volume doubling and a Poincaré inequality. This enables us to prove a parabolic Harnack…