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Fast, slow convergence, and concentration in the house of cards replicator-mutator model

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  • Additional Information
    • Contributors:
      Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie (MISTEA); Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-Institut Agro Montpellier; Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro); Institut Denis Poisson (IDP); Université d'Orléans (UO)-Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS); Université de Tours (UT); ANR-20-CE40-0015,NOLO,Processus de branchement non-locaux(2020); European Project
    • Publication Information:
      HAL CCSD
      Khayyam Publishing
    • Publication Date:
      2024
    • Collection:
      Université de Poitiers: Publications de nos chercheurs.ses (HAL)
    • Abstract:
      International audience ; We propose a fine analysis of the various possible long time behaviours of the solutions of the replicator-mutator equation with so-called Kingman's house of cards mutations. In particular, we give what is to our knowledge the first concentration result for this model.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/2203.07924; hal-03608758; https://hal.science/hal-03608758; https://hal.science/hal-03608758v2/document; https://hal.science/hal-03608758v2/file/house-of-cards.pdf; ARXIV: 2203.07924; WOS: 001154438200001
    • Accession Number:
      10.57262/die037-0708-547
    • Online Access:
      https://hal.science/hal-03608758
      https://hal.science/hal-03608758v2/document
      https://hal.science/hal-03608758v2/file/house-of-cards.pdf
      https://doi.org/10.57262/die037-0708-547
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • Accession Number:
      edsbas.4E7819A3