Journée-séminaire de combinatoire

(équipe CALIN du LIPN, université Paris-Nord, Villetaneuse)

Le 29 mai 2018 à 14h00 en B107, Nicolas Behr nous parlera de : Combinatorics of chemical reactions

Résumé : Reporting on recent work with G.H.E. Duchamp and K.A. Penson (arXiv:1712.06575), I plan to present a formulation of chemical reaction systems in the so-called stochastic mechanics formalism. This approach allows to uncover some deep relationships between the combinatorial techniques of boson normal-ordering and the dynamics of chemical reaction networks: each semi-linear reaction type induces an evolution within a space of probability distributions that can be computed explicitly via our techniques. For the interesting remaining types of reactions, some results involving systems of Sobolev-Jacobi orthogonal polynomials will be presented.

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