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Why random matrices share universal processes with interacting particle systems?

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 نشر من قبل Patrik L. Ferrari
 تاريخ النشر 2013
  مجال البحث فيزياء
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 تأليف Patrik L. Ferrari




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In these lecture we explain why limiting distribution function, like the Tracy-Widom distribution, or limit processes, like the Airy_2 process, arise both in random matrices and interacting particle systems. The link is through a common mathematical structure on an interlacing structure, also known as Gelfand-Tsetlin pattern, that appears for specific models in both fields.



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