7 papers
Norm of infinite doubly stochastic matrices
Ludovick Bouthat, Javad Mashreghi, Raphaël Vo
In finite dimensions, every doubly stochastic matrix has the -operator norm equal to for all . However, in the infinite-dimensional setting, this pr…
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…
Weighted Hardy Inequalities for Nested Averages
Ludovick Bouthat, Pierre-Olivier Parisé
We study a family of Hardy-type inequalities for weighted averages over nested subsets of a measure space. Given a partition of a measure space and a weight function , we consid…
Sharp Inequalities for Products of Principal Minors of Positive Definite Matrices
Tobias Boege, Ludovick Bouthat
We study sharp inequalities for ratios of products of principal minors of real positive definite matrices. Our main result gives a closed-form solution to a family of nonconvex opt…
Convergence Analysis of the Random Bisection Method
Ludovick Bouthat, Philippe-André Luneau, Philippe Petitclerc
We propose a generalized version of the bisection method where the cutting point between the two subintervals is chosen at random following an arbitrary distribution. We compute ex…
A general framework for inequalities on simple graphs
Ludovick Bouthat, Ãngel Chávez, Sam Sheng
A general framework is developed for deriving sharp inequalities on simple graphs from majorization and Schur-convexity. After establishing majorization relations between the spect…