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Universal Cusp Scaling in Random Partitions

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Institut de Mathématiques de Bourgogne Dijon (IMB); Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS); London Institute of Mathematical Sciences (LIMS); ANR-15-IDEX-0003,BFC,ISITE " BFC(2015); ANR-17-EURE-0002,EIPHI,Ingénierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarité(2017)
    • بيانات النشر:
      HAL CCSD
      Springer Verlag
    • الموضوع:
      2024
    • نبذة مختصرة :
      International audience ; We study the universal scaling limit of random partitions obeying the Schur measure. Extending our previous analysis [arXiv:2012.06424], we obtain the higher-order Pearcey kernel describing the multi-critical behavior in the cusp scaling limit. We explore the gap probability associated with the higher Pearcey kernel, and derive the coupled nonlinear differential equation and the asymptotic behavior in the large gap limit.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/2208.07288; hal-04197441; https://hal.science/hal-04197441; https://hal.science/hal-04197441/document; https://hal.science/hal-04197441/file/2208.07288.pdf; ARXIV: 2208.07288
    • الرقم المعرف:
      10.1007/s11005-024-01771-6
    • الدخول الالكتروني :
      https://hal.science/hal-04197441
      https://hal.science/hal-04197441/document
      https://hal.science/hal-04197441/file/2208.07288.pdf
      https://doi.org/10.1007/s11005-024-01771-6
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.5B210EBB