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Generic Simplicity of Ellipses by Hillairet, Luc; Judge, Chris M. is a scholarly article available to read on EtoBox.

What is Generic Simplicity of Ellipses about?

We prove that the Laplace spectrum of the generic ellipse is simple, both with Neumann and Dirichlet boundary condition. We rely on the known multiplicities in the spectrum of the disk (Bourget's hypothesis) and on a refined version of our method of asymptotic separation of variables. In v1, the statement of prop. 2.1 is correct but the proof is not.

Author

Hillairet, Luc; Judge, Chris M.

Published

2024

Language

EN