version française

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

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, Éric Fusy, Emmanuel Jacob, Igor Kortchemski, Cécile Mailler, Grégory Miermont, Lucas Randazzo.

Preprints

12. Convergence of uniform noncrossing partitions toward the Brownian triangulation
    Preprint, arXiv:1711.04872 (2017) [bibtex]
    
13. A bijection for nonorientable general maps
    Short version: FPSAC 2016. Discrete Math. Theor. Comput. Sci. Proc., BC, 227–238 (2016)
    Preprint, arXiv:1512.02208 (2015) [bibtex – poster – beamer]
    

Publications

10. A bijective study of basketball walks
     ☻ E. Fusy, C. Mailler, L. Randazzo.
    Séminaire Lotharingien de Combinatoire, 77, Art. B77a, 1–24 (2016) [bibtex]
    
11. Compact Brownian surfaces I. Brownian disks
     ☻ G. Miermont.
    Probability Theory and Related Fields, 167, 555–614 (2017) [bibtex – beamer]
    
12. A simple explicit bijection between (n,2)-Gog and Magog trapezoids
    Séminaire Lotharingien de Combinatoire, 75, Art. B75e, 1–9 (2016) [bibtex – beamer]
    
13. Geodesics in Brownian surfaces (Brownian maps)
    Annales de l’Institut Henri Poincaré, 52, 612–646 (2016) [bibtex – beamer]
    
14. 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]
    
15. Increasing Forests and Quadrangulations via a Bijective Approach
    Journal of Combinatorial Theory, Series A, 122, 107–125 (2014) [bibtex – beamer (in French)]
    
16. Scaling Limit of Random Planar Quadrangulations with a Boundary
    Annales de l’Institut Henri Poincaré, 51, 432–477 (2015) [bibtex]
    
17. The Topology of Scaling Limits of Positive Genus Random Quadrangulations
    The Annals of Probability, 40, 1897–1944 (2012) [bibtex – beamer (in French)]
    
18. Scaling Limits for Random Quadrangulations of Positive Genus
    Electronic Journal of Probability, 15, 1594–1644 (2010) [bibtex – beamer (in French)]
    

Proceedings

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

Lecture notes

• Random maps and Brownian surfaces
  ALEA YOUNG 2017
  

Miscellaneous

• Scaling Limit of Arbitrary Genus Random Maps (with introduction in French)
  Ph.D. thesis, advised by Grégory Miermont [beamer]
  
• Semaine d'Etude Mathématiques et Entreprises 1 : Deux problèmes sur les parcs solaires (in French)
   ☻ N. Aguillon, S. Benzekry, P. Bochard, N. Bonnotte, G. Delgado, L.-M. Imbert, G. Lepoultier, L. Navoret, E. Parini.
  Proceeding of a week work on a subject given by GDF-Suez (French gaz and electricity company)