Among applied mathematics, I am interested in:

- Piecewise deterministic processes
- Averaging
- Optimal stochastic control
- Statistical inference

- Statistics for linguistics
- database design
- diatopic variation modelization

*Adaptive Average Control for Piecewise Deterministic Markov Processes*

with F. Dufour and O. Costa

2023, submitted*Minimum Contrast Estimators for Piecewise Deterministic Markov Processes*

with F. Dufour and O. Costa

2023, submitted*Which methodology to analyse the Bourciez survey?*

2023, Lengas*Averaging for slow-fast piecewise deterministic Markov processes with an attractive boundary*

HAL preprint

2022, AAP*A convex programming approach for discrete-time Markov decision processes under the expected total reward criterion*

with F. Dufour

SIAM Journal on Control and Optimization

Volume 58(4), 2020, SICON*Self-similar behaviour of a non-local diffusion equation with time delay*

with A. Ducrot

SIAM Journal on Mathematical Analysis

Volume 53(3), 2020, SIMA*On the expected total cost with unbounded returns for Markov decision processes*

with F. Dufour

Applied Mathematics & Optimization

Volume 82, 2020 AMO*Estimation of the average number of continuous crossings for non-stationary non-diffusion processes*

with R. Azaïs

Journal of Statistical Planning and Inference

Volume 198, 2019, JSPI*Inference for conditioned Galton-Watson trees from their Harris path*

with R. Azaïs and B. Henry

Revista Latino-Americana de Probabilidade e Estatística

Volume 16, 2019, ALEA

A Matlab toolbox associated to this paper is available here*Averaging for some simple constrained Markov processes*

Probability and Mathematical Statistics

Volume 39(1), 2019, PMS*A new characterization of the jump rate for piecewise-deterministic Markov processes with discrete transitions*

with R. Azaïs

Communications in Statistics: Theory and Methods

Volume 47(8), 2018, CS:TM*Probabilistic and Piecewise Deterministic models in Biology*

with B. Cloez, R. Dessalles, F. Malrieu, A. Marguet and R. Yvinec

ESAIM: Proceedings and Surveys

Volume 60, 2017, ESAIM:PS*Spatio-temporal averaging for a class of hybrid systems*

Nonlinear Analysis: Hybrid Systems

Volume 22, 2016, NA:HS*Simulations of Stochastic Partial Differential Equations for Excitable Media using Finite Elements*

with M. Boulakia and M. Thieullen

Journal Of Scientific Computing

Volume 65(1), 2015. JSC*Semi-parametric inference for the absorption features of a growth-fragmentation model*with R. Azaïs

TEST

Volume 24(2), 2015, TEST*Piecewise Deterministic Markov Process (PDMPs). Recent Results*

with R. Azaïs, J-B. Bardet, N. Krell and P-A. Zitt

ESAIM: Proceedings and Surveys

Volume 44, 2014, ESAIM:PS*Multiscale Piecewise Deterministic Markov Process in Infinite Dimension: Central Limit Theorem and Langevin Approximation*

with M. Thieullen

ESAIM: Probability and Statistics

Volume 18, 2014, ESAIM:PS*Averaging for a fully coupled Piecewise Deterministic Markov Process in Infinite Dimensions*

with M. Thieullen

Advances in Applied Probability

Volume 44(3), 2012, AAP

*Level Crossings and Absorption of an Insurance Model*

with R. Azaïs

In Statistical Inference for Piecewise-deterministic Markov Processes

Edited by F. Bouguet and R. Azaïs, Wiley

Volume 44(3), 2018

*Contributions à l’étude des processus markoviens déterministes par morceaux et de décision ainsi qu’à l’étude de l’enquête Bourciez*

2023, HDR

*A multi-scale study of a class of hybrid predator-prey models*

2014, Arxiv