Publications

  1. A. Legrand and N. Pétrélis
    Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall.
    Ann. Probab. to appear (2022)
    [ arXiv-PDF ]
  2. A. Legrand and N. Pétrélis
    A sharp asymptotics of the partition function for the collapsed interacting partially directed self-avoiding walk.
    J. Stat. Phys. to appear (2022)
    [ arXiv-PDF ]
  3. P. Carmona and N. Pétrélis
    Limit theorems for a Random Walk excursion conditioned to enclose a typical area.
    Jour. London Math. Soc.101, No 2, Pages 682-713 (2020)
    [ arXiv-PDF ]
  4. P. Carmona and N. Pétrélis
    A shape theorem for the scaling limit of the IPDSAW at criticality.
    Ann. Appl. Probab. 29, No 2, Pages 875-930 (2019)
    [ arXiv-PDF ]
  5. P. Carmona, G. B. Nguyen, N. Torri and N. Pétrélis
    Interacting partially directed self-avoiding walk: a probabilistic perspective.
    Jour. Phys. A: Math. Theor. 51, No 15 (2018) 153001.
    Means, Methods and Results in the Statistical Mechanics of Polymeric Systems: a Special Issue in Honour of Stuart Whittington's 75th birthday.
    [ arXiv-PDF ]
  6. N. Pétrélis, R. Sun and N. Torri
    Scaling limit of the uniform prudent walk.
    Elec. Jour. Prob. 22 , No 66, 19 Pages (2017).
    [ arXiv-PDF ]
  7. N. Pétrélis and N. Torri
    Collapse transition of the interacting prudent walk.
    Ann. Instit. H. Poincaré D, Combinatorics, Physics and their intercations, 33 pages (2017).
    [ arXiv-PDF ]
  8. F. den Hollander and N. Pétrélis
    Phase diagram for a copolymer in a micro-emulsion.
    ALEA, Lat. Am. J. Probab. Math. Stat. 13, No 2, Pages 941-1037 (2016).
    [ arXiv-PDF ]
  9. P. Carmona and N. Pétrélis
    Interacting partially directed self-avoiding walk: scaling limits.
    Elec. Jour. Prob. 21, No 49, 52 Pages (2016). [ PDF ]
  10. F. Caravenna, F. den Hollander, N. Pétrélis and J. Poisat,
    Annealed scaling for a charged polymer.
    Math. Phys. Anal. Geom. 19, No 1, Pages 1-87 (2016). [ arXiv-PDF ]
  11. P. Carmona, G. B. Nguyen and N. Pétrélis
    Interacting partially directed self-avoiding walk. From phase transition to the geometry of the collapsed phase.
    Ann. Probab. 44, No 5, 3234-3290 (2016). [ arXiv-PDF ]
  12. G.B. Nguyen and N. Pétrélis
    A variational formula for the free energy of the partially directed polymer collapse.
    J. Stat. Phys. 151, No 6, Pages 1099-1120 (2013). [ arXiv-PDF ]
  13. F. Caravenna, P. Carmona and N. Pétrélis
    The discrete time parabolic Anderson model with heavy tailed potential.
    Ann. Instit. H. Poincaré B, Probability and Statistics 48, No 4, Pages 1049-1080 (2012). [ arXiv-PDF ]
  14. F. Caravenna, F. den Hollander and N. Pétrélis
    Lectures on Random Polymers
    In: Probability and Statistical Physics in Two and more Dimensions. Proceedings of the Clay Mathematics Institute Summer School and XIV Brazilian School of Probability (Buzios, Brazil).
    Edited by David Ellwood, Charles Newman, Vladas Sidoravicius and Wendelin Werner.
    Clay Mathematics Proceedings 15, Pages 319-393 (2012). [ arXiv-PDF ]
  15. F. Caravenna and N. Pétrélis
    Depinning of a polymer in a multi-interface medium.
    Elec. Jour. Prob. 14, No 70, Pages 2038-2067 (2009). [ arXiv-PDF ]
  16. F. den Hollander and N. Pétrélis
    On the Localized Phase of a Copolymer in an Emulsion: Subcritical Percolation Regime.
    J. Stat. Phys 134, No 2, Pages 209-241 (2009). [ arXiv-PDF ]
  17. F. Caravenna and N. Pétrélis
    A polymer in a multi-interface medium: scaling limits.
    Ann. Appl. Probab. 19, No 5, Pages 1803-1839 (2009). [ arXiv-PDF ]
  18. F. den Hollander and N. Pétrélis
    On the localized phase of a copolymer in an emulsion: supercritical percolation regime.
    Comm. Math. Phys. 285, No 3, Pages 825-871 (2009). [ arXiv-PDF ]
  19. F. den Hollander and N. Pétrélis
    A mathematical model for a copolymer in an emulsion.
    J. Math. Chem., 48, No 1, Pages 83-94 (2010). [ arXiv-PDF ]
  20. N. Pétrélis
    Copolymer at selective interfaces and pinning potentials: weak coupling limits.
    Ann. Inst. H. Poincaré B, Probability and Statistics 45, No 1, Pages 175-200 (2009). [ arXiv-PDF ]
  21. N. Pétrélis
    Polymer pinning at an interface.
    Stoch. Proc. Appl. 116, No 11, Pages 1600-1621 (2006). [ arXiv-PDF ]
  22. F. Pétrélis and N. Pétrélis
    Bounds on the dissipation in the Lorentz system.
    Phys. Let. A, No 326, Pages 85-92 (2004). [ PDF ]

Habilitation Manuscript and PhD Thesis

  1. N. Pétrélis
    Modèles de polymères dans des milieux complexes.
    Habilitation, University of Nantes (Novembre 2014). [ PDF ]
  2. N. Pétrélis
    Localization of a polymer interacting with an interface.
    Ph.D. Thesis, University of Rouen (February 2006). [ PDF ]