Christophe Leuridan

activity

20122026

collaborators

5 papers

math.DS2026

Linear toral endomorphisms, exactness, Bernoulliness and generators

Christophe Leuridan

Let $T$ be a non-invertible surjective continuous endomorphism of the group $\ttf^d\,:= \rrf^d/\zzf^d$. Then $T$ preserves the Haar measure, is associated to some $d \times d$ matr…

math.PR2018

Complementability and maximality in different contexts: ergodic theory, Brownian and poly-adic filtrations

Christophe Leuridan

The notions of complementability and maximality were introduced in 1974 by Ornstein and Weiss in the context of the automorphisms of a probability space, in 2008 by Brossard and Le…

math.ST2016

Iterated proportional fitting procedure and infinite products of stochastic matrices

Jean Brossard, Christophe Leuridan

The iterative proportional fitting procedure, introduced in 1937 by Kruithof, aims to adjust the elements of an array to satisfy specified row and column sums. Given a rectangular…

math.PR2012

Characterising Ocone local martingales with reflections

Jean Brossard, Christophe Leuridan

Let $M = (M_{t})_{t \geq 0}$ be any continuous real-valued stochastic process such that $M_{0} = 0$ . Chaumont and Vostrikova proved that if there exists a sequence $(a_{n})_{n \geq 1}$ of po…

math.PR2012

Filtrations at the threshold of standardness

Gael Ceillier, Christophe Leuridan

A. Vershik discovered that filtrations indexed by the non-positive integers may have a paradoxical asymptotic behaviour near the time $- \infty$ , called non-standardness. For exampl…