7 Septembre - 13 Septembre

Retour à la vue des calendrier
Mardi 8 Septembre
Heure: 14:00 - 17:00
Lieu: Salle B107, bâtiment B, Université de Villetaneuse
Résumé: Why and when does the half-normal distribution appear in combinatorics?
Description: Michael Wallner We present an extension of a theorem by Michael Drmota and Michèle Soria [1997] that can be used to identify the limiting distribution for a class of combinatorial schemata. This is achieved by determining analytical and algebraic properties of the associatedbivariate generating function. We give sufficient conditions implying a half-normal limiting distribution, extending the known conditions leading to either a Rayleigh, a Gaussian or a convolution of the last two distributions. Finally, we present some applications to lattice path and tree enumeration, images and preimages in random mappings.