4 papers
Optimal matching under size priority
Nathanaël Enriquez, Mike Liu, Laurent Ménard +1
Past studies on the local limit of maximal weight matchings in edge-weighted large random graphs rely fundamentally on the assumption that the weights are atomless, which ensures t…
Blossoming bijection for bipartite maps: a new approach via orientations and applications to the Ising model
Marie Albenque, Laurent Ménard, Nicolas Tokka
We develop a new bijective framework for the enumeration of bipartite planar maps with control on the degree distribution of black and white vertices. Our approach builds on the bl…
Stable quadrangulations and stable spheres
Eleanor Archer, Ariane Carrance, Laurent Ménard
We consider scaling limits of random quadrangulations obtained by applying the Cori-Vauquelin-Schaeffer bijection to Bienaymé-Galton-Watson trees with stably-decaying offspring ta…
Some properties of stable snakes
Eleanor Archer, Ariane Carrance, Laurent Ménard
We prove some technical results relating to the Brownian snake on a stable Lévy tree. This includes some estimates on the range of the snake, estimates on its occupation measure a…