Publications
- Gibbsian fields associated to exponentially decreasing
Annales de l'Institut Henri Poincaré 1999, vol 35 n°3, pages 387-415. Mathscinet Abstract - Asymptotic behaviour of Gaussian processes with integral representation
Stochastic Processes and their Applications 2000, vol 89 n°2, pages 287-303. Mathscinet Abstract - Infinite dimensional dynamics associated to quadratic Hamiltonians
Markov Processes and Related Fields 2000, vol 6 n° 2, pages 205-237. Mathscinet Abstract - Limit theorems for the painting of graphs by clusters
European Series in Applied and Industrial Mathematics - Probability and Statistics (ESAIM-PS) 2001, vol 5, pages 105-118. Mathscinet Abstract - Harmonic oscillators on an Hilbert space: a Gibbsian approach
Potential Analysis 2002, vol 17 n° 1, pages 65-88. Mathscinet Abstract - Percolation transition for some excursion sets
Electronic Journal of Probability 2004, vol 9 paper n° 10, pages 255-292. Mathscinet Abstract - Asymptotic shape for the chemical distance and first-passage percolation on the infinite Bernoulli cluster
joint work with Régine Marchand
European Series in Applied and Industrial Mathematics - Probability and Statistics (ESAIM-PS) 2004, vol 8, pages 169-199. Mathscinet Abstract - Coexistence in two-type first-passage percolation models
joint work with Régine Marchand
Annals of Applied Probability 2005, Vol. 15, No. 1A, pages 298-330. Mathscinet Abstract - Central Limit Theorems for the Potts model
Mathematical Physics Electronic Journal 2005, Vol. 11, paper n° 4. (27p) Mathscinet Abstract - Competition between growths governed by Bernoulli Percolation
joint work with Régine Marchand
Markov Processes and Related Fields 2006, vol 12 n° 4, pages 695-734. Mathscinet Abstract - Large deviations for the chemical distance in supercritical Bernoulli percolation
joint work with Régine Marchand
Annals of Probability 2007, vol 35 n° 3, pages 833-866. Mathscinet Abstract - First-passage competition with different speeds: positive density for both species is impossible
joint work with Régine Marchand
Electronic Journal of Probability 2008, vol 13 paper n° 70, pages 2118-2159. Mathscinet Abstract - Capacitive flows on a 2D random net
Annals of Applied Probability 2009, vol 19 n° 2, pages 641-660. Mathscinet Abstract - Moderate deviations for the chemical distance in Bernoulli percolation
joint work with Régine Marchand
Alea 2010, vol 7, pages 171-191. Mathscinet Abstract - Asymptotic shape for the contact process in random environment
joint work with Régine Marchand
Annals of Applied Probability 2012, vol 22 n° 4, pages 1362-1410 Mathscinet Abstract - Bacterial persistence: a winning strategy?
joint work with Régine Marchand Rinaldo Schinazi
Markov Processes and Related Fields 2012, vol 18 n° 4, pages 639-650 Mathscinet
It has long been known that antibiotic treatment will not completely kill off a bacteria population. For many species a small fraction of bacteria is not sensitive to antibiotics. These bacteria are said to persist. Recently it has been shown that persistence is not a permanent state and that in fact a bacterium can switch back and forth between persistent and non persistent states. We introduce two stochastic models for bacteria persistence. In both models there are mass killings of non persistent bacteria at certain times. The first model has deterministic killing times and the second one has random killing times. Both models suggest that persistence may be a successful strategy for a wide range of parameter values. - The critical branching random walk in a random environment dies out
joint work with Régine Marchand
Electronic Communications in Probability 2013, vol 18 article n° 9, pages 1-15. Mathscinet Abstract - Large deviations for the contact process in random environment
joint work with Régine Marchand
Annals of Probability 2014, vol 42 n° 4, pages 1438-1479. Mathscinet Abstract - Growth of a population of bacteria in a dynamical hostile environment
joint work with Régine Marchand
Advances in Applied Probability 2014, vol 46 n°3, pages 661-686. Mathscinet Abstract - Les lois Zéta pour l'arithmétique
Quadrature 2015, Avril-mai-juin, n°96, pages 10-18 Mathscinet Abstract - Continuity of the asymptotic shape of the supercritical contact process
joint work with Régine Marchand Marie Théret
Electronic Communications in Probability 2015, vol 20 article n° 92, pages 1-11. Abstract - The number of open paths in oriented percolation
joint work with Régine Marchand Jean-Baptiste Gouéré
Annals of Probability 2017, vol 45 n° 6A, pages 4071-4100. Mathscinet Abstract - Continuity of the time and isoperimetric constants in supercritical percolation
joint work with Régine Marchand Eviatar Procaccia Marie Théret
Electronic Journal of Probability 2017, vol 22 article n° 78, 35 pp Mathscinet Abstract - Does Eulerian percolation on \(\mathbb{Z}^2\) percolate?
joint work with Régine Marchand Irene Marcovici
Alea 2018, vol 15 article 13, pages 279-294. Abstract - Percolation and first-passage percolation on oriented graphs
joint work with Régine Marchand
Electronic Communications in Probability 2021, vol 26, paper no. 50, pages 1-14 Abstract - A Central Limit Theorem for the number of descents and some urn models
Markov Processes and Related Fields 2021, vol 27, no 5, pages 789-801 Abstract - A simple master Theorem for discrete divide and conquer recurrences
North-Western European Journal of Mathematics 2022, vol 8, pages 91-101 Abstract
Preprints
- Growth of a population of bacteria in a dynamical hostile environment
joint work with Régine Marchand
preprint ArXiV: q-bio & math.PR/1010.4618 HAL: 00528471 - A simple master Theorem for discrete divide and conquer recurrences
preprint ArXiV: math.CA/1902.10600 HAL: hal-2049382 - Probabilistic proof for non-survival at criticality: the Galton-Watson process and more
preprint ArXiv: math.PR/2202.00256 HAL: hal-03546828
Most of my recent preprints are also available on ArXiv.
If you want to read an article which is not on-line, send me an e-mail.
