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Françoise PÈNE

Professeur des Universités in Mathematics

at the LMBA (Brest University)

Junior member of the IUF (see also IUF on wikipedia)


UBO



E-Mail francoise.pene[at]univ-brest[dot]fr
Phone direct : 02 98 01 69 87        secretary : 02 98 01 62 07
Adress :  UBO
Département de Mathématiques
6, avenue Le Gorgeu
29285 Brest cedex
FRANCE


MATHEMATICAL WORKS

  1. With Frank Aurzada, Alexis Devulder and Nadine Guillotin-Plantard : Random walks and branching processes in correlated Gaussian environment arXiv
  2. With Frank Aurzada and Nadine Guillotin-Plantard : Persistence probabilities for stationary increment processes HAL
    (previous versions: 1 2 3)
  3. With Alfredéric Josse : On the normal class of curves and surfaces HAL
  4. With Alfredéric Josse : On the Halphen transform of algebraic space curves HAL Accepted for publication in Communications in Algebra
  5. With Loïc Hervé : Multiplicative ergodicity of Laplace transforms for additive functional of Markov chains HAL
  6. With Pierre Ailliot, Julie Bessac and Valérie Monbet : Non-homogeneous hidden Markov-switching models for wind time series HAL Journal of Statistical Planning and Inference, Elsevier, 160 (2015), 75-88.
  7. With Benoît Saussol : Poisson law for some nonuniformly hyperbolic dynamical systems with polynomial rate of mixing arXiv Accepted for publication in Ergodic Theory and Dynamical Systems
  8. With Benoît Saussol and Roland Zweimüller : Return- and Hitting-time limits for rare events of null-recurrent Markov maps PDF Accepted for publication in Ergodic Theory and Dynamical Systems
  9. With Brice Franke and Martin Wendler : Convergence of U-statistics indexed by a random walk to stochastic integrals of a Levy sheet arXivAccepted for publication in Bernoulli Journal
  10. With Brice Franke and Martin Wendler : Stable Limit Theorem for U-Statistic Processes Indexed by a Random Walk arXiv Accepted for publication in Electronic Communications in Probability
  11. With Alfredéric Josse : On caustics by reflection of algebraic surfaces PDF Accepted for publication in Advances in Geometry.
  12. With Pierre Ailliot : Consistency of the maximum likelihood estimate for Non-homogeneous Markov-switching models HAL ESAIM Probability and Statistics 19 (2015), 268-292.
  13. With Nina Gantert and Michael Kochler : On the recurrence of some random walks in random environment HAL ALEA 11 (2014), 483-502.
  14. Self-intersections of trajectories of Lorentz process PDF Discrete and Continuous Dynamical Systems 34 (2014), no. 11, 4781-4806.
  15. See also:
  16. An asymptotic estimate of the variance of the self-intersections of a planar periodic Lorentz process PDF
  17. Empirical central limit theorems for ergodic automorphisms of the torus (with Jérôme Dedecker and Florence Merlevède) PDF ALEA 10 (2013), no. 2, 731-766.
  18. On the class of caustics by reflection (with Alfredéric Josse) PDF Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, XIV (2015), No 3, 881-906.
  19. Rates in the strong invariance principle for ergodic automorphisms of the torus (with Jérôme Dedecker and Florence Merlevède) PDF Accepted for publication in Stochastics and Dynamics Vol. 14, No. 2 (2014) 1350021 (30 pages) World Scientific Publishing Company DOI: 10.1142/S0219493713500214.
  20. With Alfredéric Josse : Degree and class of caustics by reflection for a generic source PDF Comptes rendus - Mathématique 351 (2013), pp. 295-297
  21. On the one-sided exit problem for stable processes in random scenery (with Fabienne Castell, Nadine Guillotin-Plantard and Bruno Schapira) PDF Electron. Commun. Probab. 18 (2013), no. 33, 1-7.
  22. Random walk in random environment in a two-dimensional stratified medium with orientations (with Alexis Devulder) Electron. J. Probab. 18 (2013), no. 88, 1-23 PDF
  23. On the degree of caustics of reflection (with Alfredéric Josse) PDF Communications in Algebra 42 (2014), 2442-2475.
  24. On the local time of random processes in random scenery (with Fabienne Castell, Nadine Guillotin-Plantard and Bruno Schapira) PDF Annals of Probability 42 (2014), no. 6, 2417-2453.
  25. Renewal theorems for random walks in random scenery (with Nadine Guillotin-Plantard) PDF
  26. Electron. J. Probab. 17 (2012), no. 78, 1-22
  27. Rates of convergence in the strong invariance principle for non adapted sequences. Application to ergodic automorphisms of the torus (With Jérôme Dedecker et Florence Merlevède) PDF High Dimensional Probability VI, Progess in Probability 66 (2013), 113-138.
  28. On the recurrence set of planar Markov random walks (with Loïc Hervé) PDF Journal of Theoretical Probability: Volume 26, Issue 1 (2013), Page 169-197
  29. Limit theorems for one and two-dimensional random walks in random scenery (with Fabienne Castell and Nadine Guillotin-Plantard) PDF Annales de l'Institut Henri Poincaré- Probabilit├ęs et Statistiques (2013), Vol. 49, No 2, 506-528
  30. Recurrence rates and hitting-time distributions for random walks on the line (with Benoît Saussol and Roland Zweimüller) PDF Annals of Probability, Vol. 41, No. 2, 619-635 (2013).
  31. A local limit theorem for random walks in random scenery and on randomly oriented lattices (with Fabienne Castell, Nadine Guillotin-Plantard and Bruno Schapira) PDF Annals of Probability, Vol. 39, No. 6, 2079-2118 (2011).
  32. Back to balls in billiards (with Benoît Saussol) PDF Communications in Mathematical Physics 293, 837-866 (2010).
  33. The Nagaev-Guivarc'h method via the Keller-Liverani theorem (with Loïc Hervé) PDF Bulletin de la Société Mathématique de France 138, 415-489 (2010).
  34. Quantitative recurrence in two-dimensional extended processes (with Benoît Saussol) PDF
    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Vol. 45, No. 4, 1065-1084 (2009).
  35. Asymptotic of the number of obstacles visited by the planar Lorentz gas Discrete and Continuous Dynamical Systems, series A, vol. 24 (2), pp. 567-588 (2009). PDF
  36. Planar Lorentz gas in a random scenery PDF Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Volume : 45, Numéro : 3, pp. 818-839 (2009).
  37. Transient random walk in Z^2 with stationary orientations PDF ESAIM Probability and Statistics, volume 13, pp. 417-436 (2009).
  38. Rate of convergence in the multidimensional CLT for stationary processes. Application to the Knudsen gas and to the Sinai billiard PDF Annals of Applied Probability, N. 15, pp 2331-2392 (2005)
  39. Vitesse dans le théorème limite central pour certains systèmes dynamiques quasi-hyperboliques (with Stéphane Le Borgne) PDF Bulletin de la Société mathématique de France, volume 133 No 3, pp. 395-417 (2005)
  40. See also :
  41. Vitesse dans le théorème limite central pour certains processus stationnaires fortement decorrélés" (with Stéphane Le Borgne) arXiv
  42. Multiple decorrelation and rate of convergence in multidimensional limit theorems for the Prokhorov metric PDF Annals of Probability, volume 32 No 3B, pp. 2477-2525 (2004)
  43. Averaging method for differential equations perturbed by dynamical systems PS ESAIM, Probab. stat. 6, p. 33-88 (2002)
  44. Rates of convergence in the CLT for two-dimensional dispersive billiards PDF Communications in Mathematical Physic, volume 225 No 1, pp. 91-119 (2002)
  45. Applications des propriétés stochastiques de billards dispersifs PDF Comptes Rendus de l'Académie des Sciences, tome 330, série I, p. 1103-1106 (2000)
  46. Approximation d'une diffusion induite sur une équation cinétique par un système dynamique. Fascicule de Probabilités de l'IRMAR, 49 p. (1998)

Ph.D Thesis at Rennes 1 University (director : Jean-Pierre Conze) ( french pdf version)

Applications des propriétés stochastiques des systèmes dynamiques de type hyperbolique : ergodicité du billard dispersif dans le plan, moyennisation d'équations différentielles perturbées par un flot ergodique, 20/12/2000.