J. Marckert

activity

20042025

most citedLimit of normalized quadrangulations: The Brownian map

87 citations · 167 across the 33 of their papers we have counts for

collaborators

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27 papers · 1 filter

math.PR2025

Conditioning random points by the number of vertices of their convex hull: the bi-pointed case

Jean-François Marckert, Ludovic Morin

Pick $N$ random points $U_{1}, \dots, U_{N}$ independently and uniformly in a triangle ABC with area 1, and take the convex hull of the set ${A, B, U_{1}, \dots, U_{N}}$ . The boundary of…

math.PR2025

A combinatorial perspective on the Kemeny constant and more

Luis Fredes, Jean-François Marckert

Let $M$ be an irreducible transition matrix on a finite state space $V$ . For a Markov chain $C = (C_{k}, k \geq 0)$ with transition matrix $M$ , let $τ_{u}^{\geq 1}$ denote the first positi…

math.PR2025

Dispersion models on a circle: universal properties and asymptotic results

Jean-François Marckert, Zoé Varin

Consider a sequence of masses $m_{0}, m_{1}, ...$ arriving uniformly at random at some points $u_{0}, u_{1}, ...$ on the unit circle $R / Z$ (or on $Z / n Z$ , in…

math.PR2023★ 2 cited

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…

math.PR2022★ 1 cited

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…

math.PR2021★ 1 cited

Almost triangular Markov chains on $N$

Luis Fredes, Jean-Francois Marckert

A transition matrix $[U_{i, j}]_{i, j \geq 0}$ on $N$ is said to be almost upper triangular if $U_{i, j} \geq 0 \Rightarrow j \geq i - 1$ , so that the increments of the correspondi…

Conditioning random points by the number of vertices of their convex hull: the bi-pointed case

A combinatorial perspective on the Kemeny constant and more

Dispersion models on a circle: universal properties and asymptotic results

Convex minorant trees associated with Brownian paths and the continuum limit of the minimum spanning tree

Note on the density of ISE and a related diffusion

Almost triangular Markov chains on N

Almost triangular Markov chains on $N$