Published and Accepted Papers

12. 2023 - Discretization of the Ergodic Functional Central Limit Theorem.
Gilles Pages, Clément Rey.
Journal of Theoretical Probability, Vol. 36, : 2359-2402, 2023 [PDF] [JTP]

11. 2022 - A comparative study of polynomial-type chaos expansions for indicator functions
Florian Bourgey, Emmanuel Gobet and Clément Rey.
SIAM Journal on Uncertainty quantification, Vol. 10, Issue 4 : 1350-1383, 2022 [Hal] [JUQ]

10. 2020 - Meta-model of a large credit risk portfolio in the Gaussian copula model .
Florian Bourgey, Emmanuel Gobet and Clément Rey.
SIAM Journal on Financial Mathematics, Vol. 11, Issue 4 : 1098-1136, 2020 [Hal] [SIFIN]

9. 2020 - Recursive computation of the invariant distribution of Feller processes.
Gilles Pagès and Clément Rey.
Stochastic processes and their applications, Vol. 130, Issue 1 : 328-365, 2020 [PDF] [Hal] [Arxiv] [SPA]

8. 2019 - Approximation of Markov semigroups in total variation distance under an irregular setting: An application to the CIR process
Clément Rey.
Stochastic processes and their applications, Vol. 129, Issue 2 : 539-571, 2019 [Hal] [SPA]

7. 2019 - Recursive computation of the invariant distributions of Feller processes: Revisited examples and new applications
Gilles Pagès and Clément Rey.
Monte Carlo Methods and Applications, Vol. 25, 1-36,Issue 1, 2019 [PDF] [Arxiv] [MCMA]

6. 2018 - Numerical methods for Stochastic differential equations: two examples
Paul-Eric Chaudru de Raynal,Gilles Pagès and Clément Rey.
Esaim: Proceedings and Surveys, Vol. 64, 65-77, 2018 [Esaim]

5. 2017 - Convergence in total variation distance for a third order scheme for one dimensional diffusion processes.
Clément Rey.
Monte Carlo Methods and Applications, Issue 1 : 1-12, 2017 [Hal] [MCMA]

4. 2016 - Maximum Likelihood Estimation for Wishart processes.
Aurélien Alfonsi, Ahmed Kebaier, and Clément Rey.
Stochastic Processes and their Applications, Elsevier, Vol.126, Issue 11 : 3243-3282, 2016 [Hal] [SPA]

3. 2016 - Approximation of Markov semigroups in total variation distance.
Vlad Bally and Clément Rey.
Electronic Journal of Probability, Vol. 21 : article 12, 44 pp, 2016 [Hal] [EJP]

2. 2015 - Recent advances in various fields of numerical probability.
Charles-Edouard Bréhier, Paul-Eric Chaudru de Raynal, Vincent Lemaire, Fabien Panloup, and Clément Rey.
ESAIM : Proc. And Surveys. Journées MAS 2014. Vol. 51 : 272-292, 2015 [MAS]

1. 2014 - Detection of high and low states in stock market returns with MCMC method in a Markov switching model.
Clément Rey, Serge Rey, and Jean-Renaud Viala.
Economic Modelling. Vol 41 : 145-155, 2014 [EM]

Preprints

2. 2024 - Hormander Properties of Discrete Time Markov Processes
Clément Rey.
[Arxiv] [PDF]

2. 2024 - High order weak approximation of Stochastic Differential Equations for bounded and measurable test functions
Clément Rey.
[Arxiv] [PDF]

PhD Thesis

04-12-2015 - Etude et modélisation des équations différentielles stochastiques / High weak order discretization schemes for stochastic differential equation.
Clément Rey.
[version theses.fr]

Implémentations

2015 - Projet MATHRISK : Implémentation dans Premia (Plateforme numérique pour la finance quantitative) d’un module de simulation et d’estimation des paramètres pour les processus de Wishart.
Library PREMIA