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Jérémie Bettinelli

École polytechnique
Laboratoire d'informatique (LIX)
91128 Palaiseau Cedex
FRANCE
E-mail: firstname « . » lastname « at » normalesup « . » org
Office: 2023
Phone: (+33) (0)1 77 57 80 61
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Research

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I am working on random maps in any genera. You will find there a page dedicated to computer simulations of random maps and there an older page dedicated to some computer simulations of Brownian trees and snakes.

Coauthors : Céline Abraham, Gwendal Collet, Nicolas Curien, Luis Fredes, Éric Fusy, Emmanuel Jacob, Igor Kortchemski, Cécile Mailler, Grégory Miermont, Lucas Randazzo, Avelio Sepúlveda.

Preprints

  1. Scaling limit of random plane quadrangulations with a simple boundary, via restriction
     ☻ N. Curien, L. Fredes, A. Sepúlveda.
    arXiv:2104.12716 (2021) [bibtexbeamer]

Publications

  1. A bijection for nonorientable general maps
    Annales de l’Institut Henri Poincaré (D), to appear, (2022) [bibtexposterbeamer]
    Short version: FPSAC 2016. Discrete Math. Theor. Comput. Sci. Proc., BC, 227–238 (2016) [note]
  2. Slit-slide-sew bijections for bipartite and quasibipartite plane maps
    Electronic Journal of Combinatorics, 27(3), P3.4, 1–23 (2020) [bibtexposterbeamernote]
    Short version: FPSAC 2019. Séminaire Lotharingien de Combinatoire, 82B, Art. 82, 1–12 (2019)
  3. Convergence of uniform noncrossing partitions toward the Brownian triangulation
    FPSAC 2018. Séminaire Lotharingien de Combinatoire, 80B, Art. 38, 1–12 (2018) [bibtexposterbeamer]
  4. A bijective study of basketball walks
     ☻ E. Fusy, C. Mailler, L. Randazzo.
    Séminaire Lotharingien de Combinatoire, 77, Art. B77a, 1–24 (2016) [bibtexbeamer]
  5. Compact Brownian surfaces I. Brownian disks
     ☻ G. Miermont.
    Probability Theory and Related Fields, 167, 555–614 (2017) [bibtexbeamer]
  6. A simple explicit bijection between (n,2)-Gog and Magog trapezoids
    Séminaire Lotharingien de Combinatoire, 75, Art. B75e, 1–9 (2016) [bibtexbeamer]
  7. Geodesics in Brownian surfaces (Brownian maps)
    Annales de l’Institut Henri Poincaré (B), 52, 612–646 (2016) [bibtexbeamer]
  8. The scaling limit of uniform random plane maps, via the Ambjørn–Budd bijection
     ☻ E. Jacob, G. Miermont.
    Electronic Journal of Probability, 19, no. 74, 1–16 (2014) [bibtex]
  9. Increasing forests and quadrangulations via a bijective approach
    Journal of Combinatorial Theory, Series A, 122, 107–125 (2014) [bibtexFrench beamer]
  10. Scaling limit of random planar quadrangulations with a boundary
    Annales de l’Institut Henri Poincaré (B), 51, 432–477 (2015) [bibtex]
  11. The topology of scaling limits of positive genus random quadrangulations
    The Annals of Probability, 40, 1897–1944 (2012) [bibtexFrench beamer]
  12. Scaling limits for random quadrangulations of positive genus
    Electronic Journal of Probability, 15, 1594–1644 (2010) [bibtexFrench beamer]

Proceedings

  1. Random maps
     ☻ C. Abraham, G. Collet, I. Kortchemski.
    ESAIM: PROCEEDINGS AND SURVEYS, 51, 133-149 (2015) [bibtex]

Lecture notes

Miscellaneous


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