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math.AP2024
Homology of spectral minimal partitions
Gregory Berkolaiko, Yaiza Canzani, Graham Cox +1
A spectral minimal partition of a manifold is its decomposition into disjoint open sets that minimizes a spectral energy functional. It is known that bipartite spectral minimal par…
math.AP2014★ 1 cited
A Morse index theorem for elliptic operators on bounded domains
Graham Cox, Christopher K. R. T. Jones, Jeremy L. Marzuola
Given a selfadjoint, elliptic operator , one would like to know how the spectrum changes as the spatial domain is deformed. For a family of domains $\{Ω_…