A bivariate two-point function for planar bicolored maps

11 juin 2015, 10:15
45m
Invited talk

Orateur

Emmanuel Guitter (IPhT)

Description

I will show how to compute the distance-dependent two-point function of vertex-bicolored planar maps with, in addition to the usual control on the faces degrees, a separate control on the numbers of vertices of both colors. This bivariate two-point function is obtained via a technique of slice decomposition and by use of the Stieltjes-type continued fraction formalism. If time allows, I will also discuss another bivariate two-point function in relation with another type of continued fractions. This is joint work with Éric Fusy.

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