Version française

• PhD thesis defended on July 9, 2010 at the Université de Grenoble, under the supervision of Prof. Didier Piau.

• Curriculum Vitae in English or in French (updated January 2012).

• Markov processes (Markov models of DNA evolution, interacting particle systems).

• Phylogeny reconstruction (branch length estimation, Bayesian statistics).

Disclaimer: The listing of papers on this webpage is for my own use. Some of these files are probably covered by publisher copyrights. Please ensure that your institution has the appropriate subscription before reading any of these .pdfs.

1. Falconnet, M. and Gloter, A. and Loukianova, D. (2014). Maximum likelihood estimation in the context of a sub-ballistic random walk in a parametric random environment. Mathematical Methods of Statistics, 23(3), 159-175. arXiv 1405.2880
2. Comets, F. and Falconnet, M. and Loukianov, O. and Loukianova, D. (2014). Maximum likelihood estimator consistency for recurrent random walk in a parametric random environment with finite support. Arxiv preprint arxiv 1404.2551
3. Falconnet, M. and Loukianova, D. and Matias, C. (2014). Asymptotic normality and efficiency of the maximum likelihood estimator for the parameter of a ballistic random walk in a random environment. Mathematical Methods of Statistics, 23(1), 1-19. arXiv 1302.0425
4. Comets, F. and Falconnet, M. and Loukianov, O. and Loukianova, D. and Matias, C. (2014). Maximum likelihood estimator consistency for ballistic random walk in a parametric random environment. Stochastic Processes and their Applications, 124(1), 168-188. arXiv 1210.6328
5. Falconnet, M. and Behrens, S. (2012). Accurate estimations of evolutionary times in the context of strong CpG hypermutability. Journal of Computational Biology, 19(5), 519-531. Preprint
6. Falconnet, M. (2010). Priors for the Bayesian star paradox. Mathematical Biosciences, 228(1), 90-99. arXiv 0911.0733
7. Falconnet, M. (2010). Phylogenetic distances for neighbour dependent substitution processes. Mathematical Biosciences, 224(2), 101-108. arXiv 0812.1962

Disponible sur la version française

Dr. Sarah Behrens (Institute for Evolution and Biodiversity, Münster, Germany)

Prof. Francis Comets (Laboratoire Probabilités et Modèles Aléatoires, Paris 6, France)

Dr. Oleg Loukianov (Laboratoire Analyse et Probabilités, Evry, France)

Dr. Dasha Loukianova (Laboratoire Analyse et Probabilités, Evry, France)

Prof. Catherine Matias (Laboratoire Statistique et Génome, Evry, France)