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Cumulants of the q-semicircular law, Tutte polynomials, and heaps

The q-semicircular law as introduced by Bożejko and Speicher interpolates between the Gaussian law and the semicircular law, and its moments have a combinatorial interpretation in terms of matchings and crossings. We prove that the cumulants of this law are, up to some factor, polynomials in q with...

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Autor principal: Matthieu Josuat-Vergès
Format: Artigo
Idioma:Inglês
Publicat: Discrete Mathematics & Theoretical Computer Science 2012-01-01
Col·lecció:Discrete Mathematics & Theoretical Computer Science
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Accés en línia:https://dmtcs.episciences.org/3074/pdf
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