2005/03/03 by U. Smilansky, Uzy Smilansky, Smilansky, U. +2
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0503002
3 pages, 2 figures, presented in National Conference on Nonlinear Systems and Dynamics (Feb. 24-26, 2005), Aligarh Muslim University, India
arxiv created 2005/03/03 · openalex publication_date 2005/03/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the sequence of nodal counts for eigenfunctions of the Laplace-Beltrami operator in two dimensional domains. It was conjectured recently that this sequence stores some information pertaining to the geometry of the domain, and we show explicitly that this is the case for the family of rectangular domains with Dirichlet boundary conditions.