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  1. As predicted by spectral theory of random matrices, the spectra are centred around d on the real axis and approach a circular geometry as the size of the matrix increases. Already for \(N=2\) does ...
  2. pubmed.ncbi.nlm.nih.gov

    Here we allow feasible food webs to self-assemble within an evolutionary process, using simple Lotka-Volterra equations and several elementary interaction types. We show that, as complex food webs evolve under [Formula: see text] invasion attempts, the community matrix spectra become bi-modal, rather than falling onto elliptical geometries.
  3. semanticscholar.org

    Random matrix theory has been applied to food web stability for decades, implying elliptical eigenvalue spectra and that large food webs should be unstable. Here we allow feasible food webs to self-assemble within an evolutionary process, using simple Lotka-Volterra equations and several elementary interaction types. We show that, as complex food webs evolve under 105\\documentclass[12pt ...
  4. researchprofiles.ku.dk

    Here we allow feasible food webs to self-assemble within an evolutionary process, using simple Lotka-Volterra equations and several elementary interaction types. We show that, as complex food webs evolve under 10(5) invasion attempts, the community matrix spectra become bi-modal, rather than falling onto elliptical geometries.
  5. researchsquare.com

    within an evolutionary process, using simple Lotka-Volterra equations and several elementary interaction types. We show that, as complex food webs evolve under 105 invasion attempts, the community matrix spectra become bi-modal, rather than falling onto elliptical geometries. Our results raise questions as to
  6. cris.leibniz-zmt.de

    Random matrix theory has been applied to food web stability for decades, implying elliptical eigenvalue spectra and that large food webs should be unstable. Here we allow feasible food webs to self-assemble within an evolutionary process, using simple Lotka-Volterra equations and several elementary interaction types. We show that, as complex food webs evolve under 105 invasion attempts, the ...
  7. ncbi.nlm.nih.gov

    National Center for Biotechnology Information

    https://www.ncbi.nlm.nih.gov › pmc › articles › PMC9530164

    Here we allow feasible food webs to self-assemble within an evolutionary process, using simple Lotka-Volterra equations and several elementary interaction types. We show that, as complex food webs evolve under 10 5 invasion attempts, the community matrix spectra become bi-modal, rather than falling onto elliptical geometries. Our results ...

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