activity
20052011
most citedTransportation-information inequalities for Markov processes (II) : relations with other functional inequalities

24 citations · 31 across the 3 of their papers we have counts for

collaborators
Showing math.PRShow all

3 papers · 1 filter

math.PR2011★ 4 cited

Stochastic derivatives and generalized h-transforms of Markov processes

Christian Léonard

Let be a continuous-time Markov process on the time interval with values in some state space . We transform this reference process into $P:=f(X_0)\exp (-\int_0^1…

math.PR2009★ 24 cited

Transportation-information inequalities for Markov processes (II) : relations with other functional inequalities

Arnaud Guillin, Christian Leonard, Feng-Yu Wang +1

We continue our investigation on the transportation-information inequalities for a symmetric markov process, introduced and studied in \cite{GLWY}. We prove that impl…

math.PR2005

A large deviation approach to some transportation cost inequalities

Nathael Gozlan, Christian Léonard

New transportation cost inequalities are derived by means of elementary large deviation reasonings. Their dual characterization is proved; this provides an extension of a well-know…