Frédéric Morneau-Guérin

collaborators

4 papers

math.PR2026

On the convergence of doubly stochastic Markov chains

Ludovick Bouthat, Nicolas Doyon, Javad Mashreghi +1

We characterize the asymptotic behavior of time-homogeneous doubly stochastic Markov chains. Our investigation revolves around understanding the dynamics of products of doubly stoc…

math.MG2023

On the Geometry of the Birkhoff Polytope. II. The Schatten $p$ -norms

Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin

In the first of this series of two articles, we studied some geometrical aspects of the Birkhoff polytope, the compact convex set of all $n \times n$ doubly stochastic matrices, na…

math.FA2023

Weighted averages of $ℓ^{p}$ sequences

Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin

The objective of the present paper is to establish three Hardy-type inequalities in which the arithmetic mean over a sequence of non-negative real numbers is replaced by some weigh…

math.MG2023

On a question of Erdős on doubly stochastic matrices

Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin

In a celebrated paper of Marcus and Ree (1959), it was shown that if $A = [a_{ij}]$ is an $n \times n$ doubly stochastic matrix, then there is a permutation $σ \in S_{n}$ such that $\su…

On the convergence of doubly stochastic Markov chains

On the Geometry of the Birkhoff Polytope. II. The Schatten p-norms

Weighted averages of ℓp sequences

On a question of Erdős on doubly stochastic matrices

On the Geometry of the Birkhoff Polytope. II. The Schatten $p$ -norms

Weighted averages of $ℓ^{p}$ sequences