One can hear the shape of ellipses of small eccentricity

DOI10.4007/annals.2022.196.3.4OpenAlexW2957104403MaRDI QIDQ2092828

Hamid Hezari, Steven Zelditch

Publication date: 3 November 2022

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03882

zbMATH Keywords

periodic orbitsinverse spectral problemisospectralwave traceellipses

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (6)

The wave trace and Birkhoff billiards ⋮ Numerical Evidence of Robust Dynamical Spectral Rigidity of Ellipses Among Smooth -Symmetric Domains ⋮ Centrally symmetric analytic plane domains are spectrally determined in this class ⋮ Length spectrum rigidity for piecewise analytic Bunimovich billiards ⋮ Marked length spectral determination of analytic chaotic billiards with axial symmetries ⋮ Dynamical systems. Abstracts from the workshop held July 11--17, 2021 (hybrid meeting)

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