Research

ANR project ASPIC

Webpage

Themes

Interacting particle systems, kinetic constraints, out of equilibrium, random walks in dynamic random environments, hydrodynamic limits.

Upcoming

Journées MAS, Lyon, 25-27 August 2026.

2027 French-Japanese probability conference, Lyon, 8-12 March 2027.

Papers

• Sharp freezing time estimates for the subcritical Facilitated Exclusion Process, O. Blondel, C. Erignoux, S. Kim, S. Lee, arXiv:2606.15233.
• Stationary measures for the Porous Medium Model, O. Blondel, ALEA, Lat. Am. J. Probab. Math. Stat. 22, 1335–1345 (2025). https://doi.org/10.30757/ALEA.v22-52
• Random Markov property for random walks in random environments, J. Allasia, R. Baldasso, O. Blondel, A. Teixeira, arXiv:2409.12515.
• Weakly Asymmetric Facilitated Exclusion Process G. Barraquand, O. Blondel, M. Simon, Electron. J. Probab. 30: 1-51 (2025). https://doi.org/10.1214/25-EJP1390.
• A note on the antisymmetry in the speed of a random walk in reversible dynamic random environment O. Blondel, Electronic Communications in Probability 2023, Vol. 28, paper no. 7, 1-6. https://doi.org/10.1214/23-ECP514
• Stefan problem for a non-ergodic facilitated exclusion process O. Blondel, C. Erignoux, M. Simon, Probability and Mathematical Physics, Volume 2, Number 1, 2021. DOI : 10.2140/pmp.2021.2.127
• Random Walks on Dynamical Random Environments with Non-Uniform Mixing, O. Blondel, M. Hilário, A. Teixeira, Annals of Probability, Volume 48, Number 4 (2020), 2014-2051. DOI: 10.1214/19-AOP1414
• Hydrodynamic limit for a facilitated exclusion process, O. Blondel, C. Erignoux, M. Sasada, M. Simon, Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Volume 56, Number 1 (2020), 667-714. DOI: 10.1214/19-AIHP977
• Front evolution of the Fredrickson-Andersen one spin facilitated model, O. Blondel, A. Deshayes, C. Toninelli, Electronic Journal of Probability, Vol. 24, no. 1, 1-32, 2019. DOI: 10.1214/18-EJP246
• Random walk on random walks: low densities, O. Blondel, M. Hilário, R. dos Santos, V. Sidoravicius, A. Teixeira, to appear in Annals of Applied Probability, 2019+.
• Random walk on random walks: higher dimensions, O. Blondel, M. Hilário, R. dos Santos, V. Sidoravicius, A. Teixeira, Electronic Journal of Probability 2019, Vol. 24, paper no. 80, 1-33.
• Kinetically constrained lattice gases: tagged particle diffusion, O. Blondel, C. Toninelli, Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Volume 54, Number 4 (November 2018), 2335-2348. DOI : 10.1214/17-AIHP873
• A class of random walks in reversible dynamic environment: antisymmetry and applications to the East model, L. Avena, O. Blondel, A. Faggionato, Journal of Statistical Physics, 165(1), 1-23, 2016. DOI: 10.1007/s10955-016-1596-7
• Convergence to the Stochastic Burgers Equation from a degenerate microscopic dynamics, O. Blondel, P. Gonçalves, M. Simon, Electronic Journal of Probability, Volume 21 (2016), paper no. 69, 25 pp. DOI: 10.1214/16-EJP15
• L^2-Perturbed Markov processes and applications to random walks in dynamic random environments, L. Avena, O. Blondel, A. Faggionato, Stochastic Processes and their Applications, Volume 128, Issue 10, October 2018, Pages 3490-3530.
• Tracer diffusion in low temperature kinetically constrained models, O. Blondel, The Annals of Applied Probability, 2015, Vol. 25, No. 3, 1079-1107, DOI: 10.1214/14-AAP1017
• Is there a fractional breakdown of the Stokes-Einstein relation in Kinetically Constrained Models at low temperature?, O. Blondel, C. Toninelli, 2014 EPL 107 26005. DOI: 10.1209/0295-5075/107/26005
• Front progression in the East model, O. Blondel, Stochastic Process. Appl., Vol. 123, Issue 9, Sept. 2013, p. 3430-3465. DOI : 10.1016/j.spa.2013.04.014
• Fredrickson-Andersen one spin facilitated model out of equilibrium, O. Blondel, N. Cancrini, F. Martinelli, C. Roberto, C. Toninelli, Markov Processes Relat. Fields, 19:383-406, May 2013.

PhD students

• Guillaume Clerc (with Cristina Toninelli), 2025 –.
• Julien Allasia (with Augusto Teixeira), 2021 – 2024.
• Anatole Ertul (with Fabio Toninelli), 2018 – 2021.

Habilitation thesis

I defended on December 5th, 2022. Title of the thesis: Stochastic dynamics with degenerate rates on a lattice.
Manuscript Slides

PhD

I defended on December 3rd, 2013. Title of the thesis: Kinetically constrained particle systems on a lattice, under the direction of Thierry Bodineau et Cristina Toninelli.
Manuscript Slides