J. Kennedy

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math.SP2025

Spectral minimal partitions of unbounded domains

Matthias Hofmann, James B. Kennedy, Hugo Tavares

We study the problem of constructing $k$ -spectral minimal partitions of domains in $d$ dimensions, where the energy functional to be minimized is a $p$ -norm ( $1 \leq p \leq \infty$ )…

math.SP2024

Cheeger cuts and Robin spectral minimal partitions of metric graphs

James B. Kennedy, JoÃ£o P. Ribeiro

We study partition problems based on two ostensibly different kinds of energy functionals defined on $k$ -partitions of metric graphs: Cheeger-type functionals whose minimisers are…