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Spectrum of multispace Euclidean random matrices

Abstract : We consider the additive superimposition of an extensive number of independent Euclidean Random Matrices in the high-density regime. The resolvent is computed with techniques from free probability theory, as well as with the replica method of statistical physics of disordered systems. Results for the spectrum and eigenmodes are shown for a few applications relevant to computational neuroscience, and are corroborated by numerical simulations.
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https://hal.archives-ouvertes.fr/hal-02508767
Contributor : Aldo Battista <>
Submitted on : Wednesday, May 6, 2020 - 7:34:09 PM
Last modification on : Friday, June 12, 2020 - 5:38:06 PM

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  • HAL Id : hal-02508767, version 2
  • ARXIV : 2003.07590

Citation

Aldo Battista, Remi Monasson. Spectrum of multispace Euclidean random matrices. Physical Review E , American Physical Society (APS), 2020. ⟨hal-02508767v2⟩

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