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Genericity of simple eigenvalues for a metric graph

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Abstract

We prove that, for a metric graph different from a polygon, the spectrum of the Laplacian is generically simple.

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Authors and Affiliations

  1. Department of Mathematics, University of Arizona, 85721, Tucson, AZ, USA

    Leonid Friedlander

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  1. Leonid Friedlander
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Correspondence to Leonid Friedlander.

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Friedlander, L. Genericity of simple eigenvalues for a metric graph. Isr. J. Math. 146, 149–156 (2005). https://doi.org/10.1007/BF02773531

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  • DOI: https://doi.org/10.1007/BF02773531

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