Coordinates: Laboratoire
de Mathématiques de Versailles, UVSQ, CNRS, Université
Paris-Saclay, Bâtiment Fermat, bureau 2301, 45 avenue des Etats-Unis,
78035 Versailles Cedex, France
Tel: (+33) 1 39 25 46 28 Fax: (+33) 1 39 25 46 45 E-mail: devulder "at" math.uvsq.fr
Research:
Probability theory, and more particularly Random environments, Random walks in random environments, Sinai walk,
Diffusions in random potentials, Branching processes in random environments.
Preprint: Annealed local limit theorem for Sinai's random walk in random environment.
Preprint arXiv:2309.13020, 82 pages, 9 figures:
arXiV
Publications:
11.
Infinitely many collisions between a recurrent simple random walk
and arbitrary many transient random walks in a
subballistic random environment.
Electronic Communications
in Probability 30 paper no. 38 (2025), 1-11
arXiVArticle 10.
(with Nina Gantert and Françoise Pène) Arbitrary many walkers meet infinitely often in a subballistic random environment.
Electronic Journal of Probability 24, no. 100 (2019), 1-25
arXiVArticle 9. (with Nina Gantert and Françoise Pène) Collisions of several walkers in recurrent random environments.
Electronic Journal of Probability 23,
no. 90 (2018), 1-34
HALArticle 8. (with Frank Aurzada, Nadine Guillotin-Plantard and Françoise Pène) Random walks and branching processes in correlated Gaussian environment. Journal of Statistical Physics166, no 1, (2017), 1-23 arXivArticle 7. (with Pierre Andreoletti and Grégoire Véchambre) Renewal structure and local time for diffusions in random environment. ALEA, Lat. Am. J. Probab. Math. Stat.13 (2016), 863-923
arXivArticle 6. The Maximum of the Local Time of a Diffusion Process in a Drifted Brownian Potential.
Séminaire de ProbabilitésXLVIII, 123-177.
Lecture Notes in Math., 2168, Springer (2016)
arXivArticle
5. Persistence of some additive functionals of Sinai's walk. Annales de l'Institut Henri Poincaré - Probabilités et Statistiques52 (2016), No. 3, 1076-1105
ArticlearXiv 4. (with Pierre Andreoletti) Localization and number of visited valleys for a transient diffusion in random environment. Electronic Journal of Probability20 (2015), no 56, 1-58 Article 3. (with Françoise Pène) Random walk in random environment in a two-dimensional stratified medium with orientations.
Electronic Journal of Probability18 (2013), no. 18, 1-23 Article 2. The speed of a branching system of random walks in
random environment.
Statistics and Probability Letters77 (2007), 1712-1721 HALArticle 1. Some properties of the rate function of quenched large deviations for random walks in random environment. Markov Processes and Related Fields, 12, 27-42 (2006) arXiv *. Almost sure asymptotics for a diffusion process in a drifted Brownian potential. This preprint arXiv:math/0511053has been merged with [6].
Proceedings :
2. (avec Roland Diel et Xiaolin Zeng)
Some recent advances in random walks and random environments.
ESAIM: Proceedings and surveys
74 (2023), 38-50
Article 1.
Random walks and branching processes in correlated Gaussian
environment: persistence and applications"
(about a joint work with Frank Aurzada, Nadine Guillotin-Plantard and
Françoise Pène).
Mathematisches Forschungsinstitut Oberwolfach,
Report No. 32/2020,
1616-1619 (2020) Article PhD: Etude de certains phénomènes en milieux aléatoires. PhD thesis, under the supervision of
Zhan Shi, november 2005. pspdf
