Establishes analytic bounds on nested nodal loops for eigenfunction sums, proves sharpness by smooth counterexample, and constructs biharmonic nodal sets disproving an old conjecture.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Biharmonic polynomials on R^2 exist with arbitrarily many nested nodal loops in their zero sets.
citing papers explorer
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Nested nodal loops for sums of Laplace eigenfunctions
Establishes analytic bounds on nested nodal loops for eigenfunction sums, proves sharpness by smooth counterexample, and constructs biharmonic nodal sets disproving an old conjecture.
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Nested nodal loops of biharmonic functions
Biharmonic polynomials on R^2 exist with arbitrarily many nested nodal loops in their zero sets.