65 citations · 295 across the 21 of their papers we have counts for
3 papers · 1 filter
Spectral minimal partitions of unbounded metric graphs
Matthias Hofmann, James B. Kennedy, Andrea Serio
We investigate the existence or non-existence of spectral minimal partitions of unbounded metric graphs, where the operator applied to each of the partition elements is a Schröding…
On The Spectrum Of Infinite Quantum Graphs
Marco Düfel, James B. Kennedy, Delio Mugnolo +2
We study the interplay between spectrum, geometry and boundary conditions for two distinguished self-adjoint realisations of the Laplacian on infinite metric graphs, the so-called…
Impediments to diffusion in quantum graphs: geometry-based upper bounds on the spectral gap
Gregory Berkolaiko, James B. Kennedy, Pavel Kurasov +1
We derive several upper bounds on the spectral gap of the Laplacian with standard or Dirichlet vertex conditions on compact metric graphs. In particular, we obtain estimates based…