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math.SP2022★ 2 cited
Coarse nodal count and topological persistence
Lev Buhovsky, Jordan Payette, Iosif Polterovich +3
Courant's theorem implies that the number of nodal domains of a Laplace eigenfunction is controlled by the corresponding eigenvalue. Over the years, there have been various attempt…
math.SP2019
Optimal unions of scaled copies of domains and Pólya's conjecture
Pedro Freitas, Jean Lagacé, Jordan Payette
Given a bounded Euclidean domain , we consider the sequence of optimisers of the Laplacian eigenvalue within the family consisting of all possible disjoint unions o…