28 citations · 56 across the 7 of their papers we have counts for
7 papers
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…
A transfer theorem for multivariate Delta-analytic functions with a power-law singularity
Linxiao Chen
This paper presents a multivariate generalization of Flajolet and Odlyzko's transfer theorem. Similarly to the univariate version, the theorem assumes -analyticity (defined coor…
Enumeration of fully parked trees
Linxiao Chen
We enumerate a class of fully parked trees. In a probabilistic context, this means computing the partition function of the parking process where an i.i.d. number of cars a…
Ising model on random triangulations of the disk: phase transition
Linxiao Chen, Joonas Turunen
In [arXiv:1806.06668], we have studied the Boltzmann random triangulation of the disk coupled to an Ising model on its faces with Dobrushin boundary condition at its critical tempe…
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…