87 citations · 167 across the 33 of their papers we have counts for
36 papers
Conditioning random points by the number of vertices of their convex hull: the bi-pointed case
Jean-François Marckert, Ludovic Morin
Pick random points independently and uniformly in a triangle ABC with area 1, and take the convex hull of the set . The boundary of…
A combinatorial perspective on the Kemeny constant and more
Luis Fredes, Jean-François Marckert
Let be an irreducible transition matrix on a finite state space . For a Markov chain with transition matrix , let denote the first positi…
Dispersion models on a circle: universal properties and asymptotic results
Jean-François Marckert, Zoé Varin
Consider a sequence of masses arriving uniformly at random at some points on the unit circle (or on , in…
Convex minorant trees associated with Brownian paths and the continuum limit of the minimum spanning tree
Nicolas Broutin, Jean-François Marckert
We give an explicit construction of the scaling limit of the minimum spanning tree of the complete graph. The limit object is described using a recursive construction involving the…
Note on the density of ISE and a related diffusion
Guillaume Chapuy, Jean-François Marckert
The integrated super-Brownian excursion (ISE) is the occupation measure of the spatial component of the head of the Brownian snake with lifetime process the normalized Brownian exc…
Almost triangular Markov chains on
Luis Fredes, Jean-Francois Marckert
A transition matrix on is said to be almost upper triangular if , so that the increments of the correspondi…