Laurent Tournier

Maître de conférences en mathématiques, Université Paris 13

Papers

Publications

• Tournier, L. (2009) Integrability of exit times and ballisticity for random walks in Dirichlet environment, Electronic Journal of Probability Vol. 14, 431–451. Available en ligne.
• Sabot, C. et Tournier, L. (2011) Time reversal and directional transience of random walks in Dirichlet random environment. Annales de l'Institut Henri Poincaré - Probabilités et Statistiques Vol. 47, No. 1, 1–8. Version at ArXiv.
• Enriquez, N., Sabot, C., Tournier, L. and Zindy, O. (2012) Quenched limits for the fluctuations of transient random walks in random environment on Z. Annals of Applied Probability Vol. 23, No. 3, 1148–1187. Version at ArXiv
• Tournier, L. (2013) Asymptotic direction of random walks in Dirichlet environment. Annales de l'institut Henri Poincaré - Probabilités et Statistiques Vol. 51, No. 2, 716–726. Au format PDF (lien vers le site du journal)
• Rolla, L., Sidoravicius, V., Tournier, L. (2013) Greedy clearing of persistent Poissonian dust. Stochastic Processes and Applications Vol. 124, 3496–3506. Version at arXiv.
• Sabot, C. and Tournier, L. (2016) Random walks in Dirichlet environment: an overview. (Article de synthèse) Annales de la Faculté des Sciences de Toulouse Sér. 6, Vol. 26, No. 2. Version at ArXiv.
• Rolla, L. and Tournier, L. (2015) Sustained activity for biased activated random walks at arbitrarily low density. Annales de l'Institut Henri Poincaré - Probabilités et Statistiques, Vol. 54, No. 2. Version at ArXiv.
• Sidoravicius, V. and Tournier, L. (2017) Note on a one-dimensional system of annihilating particles. Electronic Communications in Probability Vol. 22, No. 59, 1–9. Available en ligne.
• Curien, N., Kozma, G., Sidoravicius, V. and Tournier, L. (2019) Uniqueness of the infinite noodle. Annales de l'Institut Henri Poincaré D - Combinatorics, Physics and their Interactions, Vol. 6, No. 2. Available at le site du journal.
• Collevecchio, A., Hamza, K. and Tournier, L. (2019) A deterministic walk on the randomly oriented Manhattan lattice. Electronic Journal of Probability Vol. 24, paper no. 137, 1-20.Available en ligne.

Prepublications

• Haslegrave, J., Sidoravicius, V. and Tournier, L. (2019) Three-speed ballistic annihilation: phase transition and universality. Available at ArXiv.
• Sidoravicius, V. and Tournier, L. (2018) The ballistic annihilation threshold is 1/4. Available at ArXiv. The result was improved in the above reference.
• Enriquez, N., Sabot, C., Tournier, L. and Zindy, O. (2010) Stable fluctuations of random walks in one-dimensional random environment. Available at ArXiv.
• Tournier, L. (2009) A note on the recurrence of edge reinforced random walks. (2 pages) Available at ArXiv.

Slides from presentations

Here are a few files that I have used during presentations. If you attended another talk of mine and wish to get the slides, please send an e-mail to me.

• (May 2019, Shanghai) Phase transition of three-speed ballistic annihilation. PDF file.
• (January 2017, Shanghai) Two problems based on infinite uniform planar matchings. PDF file.
• (July 2015, Valparaíso) Activated Random Walks with bias: activity at low density. PDF file.
• (July 2013, Tel Aviv) On the greedy cleaning problem. PDF file.
• (July 2012, Istanbul) Asymptotic direction of oriented-edge reinforced random walks. PDF file.
• (June 2011, Florence) Annealed and quenched fluctuations of random walks in random environment on Z. PDF file.
• (June 2010, Lyon) Quelques contributions à l'étude des marches aléatoires en milieu aléatoire, Soutenance de thèse. PDF file.
• (March 2008, Paris) Marches aléatoires en milieu de Dirichet, intégrabilité des temps de sortie et balisticité. PDF file.

Theses

• Quelques contributions à l'étude des marches aléatoires en milieu aléatoire, Mémoire de thèse de doctorat (Université Claude Bernard Lyon 1) PDF file.
• Critères de balisticité pour les marches aléatoires en milieu aléatoire multidimensionnel, Mémoire de M2 (Université Paris-XI Orsay) PDF file.
• (With François Rousseau) Percolation sur les graphes de Cayley, Mémoire de maîtrise (ENS Paris) PDF file

Miscellany

• Short CV