3 papers
math.CO2007
Culminating paths
Mireille Bousquet-Mélou, Yann Ponty
Let a and b be two positive integers. A culminating path is a path of Z^2 that starts from (0,0), consists of steps (1,a) and (1,-b), stays above the x-axis and ends at the highest…
math.PR2005
The density of the ISE and local limit laws for embedded trees
Mireille Bousquet-Mélou, Svante Janson
It has been known for a few years that the occupation measure of several models of embedded trees converges, after a suitable normalization, to the random measure called ISE (Integ…
math.CO2005
Limit laws for embedded trees. Applications to the integrated superBrownian excursion
Mireille Bousquet-Mélou
We study three families of labelled plane trees. In all these trees, the root is labelled 0, and the labels of two adjacent nodes differ by or -1. One part of the paper is d…