28 citations · 56 across the 7 of their papers we have counts for
4 papers · 1 filter
Parking on supercritical geometric Bienaymé--Galton--Watson trees
Linxiao Chen, Alice Contat
Consider a supercritical Bienaymé--Galton--Watson tree with geometric offspring distribution. Each vertex of this tree represents a parking spot which can accommodat…
Critical Ising model on random triangulations of the disk: enumeration and local limits
Linxiao Chen, Joonas Turunen
We consider Boltzmann random triangulations coupled to the Ising model on their faces, under Dobrushin boundary conditions and at the critical point of the model. The first part of…
The perimeter cascade in critical Boltzmann quadrangulations decorated by an loop model
Linxiao Chen, Nicolas Curien, Pascal Maillard
We study the branching tree of the perimeters of the nested loops in critical model for on random quadrangulations. We prove that after renormalization it conv…
Basic properties of the infinite critical-FK random map
Linxiao Chen
We investigate the critical Fortuin-Kasteleyn (cFK) random map model. For each and integer , this model chooses a planar map of edges with a probabil…