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1 MODAL-X - Modélisation aléatoire de Paris X 2 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

Abstract : A detailed combinatorial analysis of planar convex lattice polygonal lines is presented. This makes it possible to answer an open question of Vershik regarding the existence of a limit shape when the number of vertices is constrained.

Keywords : convex polygons grand canonical ensemble zeta functions local limit theorem limit shape





Author: Julien Bureaux - Nathanaël Enriquez -

Source: https://hal.archives-ouvertes.fr/



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