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
We prove various \(q\)-dimensional Central Limit Theorems for the occurring of the colors in the \(q\)-state Potts model on \(\mathbb{Z}^d\) at inverse temperature \(\beta\), provided that \(\beta\) is sufficiently far from the critical point \(\beta_c\). When \((d=2)\) and (\(q=2\) or \(q\ge 26\)), the theorems apply for each \(\beta\ne\beta_c\). In the uniqueness region, a classical Gaussian limit is obtained. In the phase transition regime, the situation is more complex: when \((q\ge 3)\), the limit may be Gaussian or not, depending on the Gibbs measure which is considered. Particularly, we show that free boundary conditions lead to a non-Gaussian limit. Some particular properties of the Ising model are also discussed. The limits that are obtained are identified relatively to FK-percolation models. - 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 Abstract - 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.
