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math.AP2024
Stability of spectral partitions with corners
Gregory Berkolaiko, Yaiza Canzani, Graham Cox +2
A spectral minimal partition of a manifold is a decomposition into disjoint open sets that minimizes a spectral energy functional. While it is known that bipartite minimal partitio…
math.AP2024
Asymptotics for the spectral function on Zoll manifolds
Yaiza Canzani, Jeffrey Galkowski, Blake Keeler
Let be a Zoll manifold, i.e., a smooth, compact, Riemannian manifold without boundary all of whose geodesics are closed with a minimal common period . The positive defin…
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…