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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
  This paper concerns maximal flows on \(\mathbb{Z}^2\) traveling from a convex set to infinity, the flows being restricted by a random capacity. For every compact convex set \(A\), we prove that the maximal flow \(\Phi(nA)\) between \(nA\) and infinity is such that \(\Phi(nA)/n\) almost surely converges to the integral of a deterministic function over the boundary of \(A\). The limit can also be interpreted as the optimum of a deterministic continuous max-flow problem. We derive some properties of the infinite cluster in supercritical Bernoulli percolation.
• 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.