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

Désolé, pas de version française

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

Doctoral and post-doctoral supervision

Preprints

• Slit-slide-sew bijections for oriented planar maps
   ☻ Éric Fusy, Baptiste Louf.
  hal-04850279, arXiv:2412.14120 (2024) [bibtex – beamer]
  
• Slit-slide-sew bijections for constellations and quasiconstellations
   ☻ D. Korkotashvili.
  hal-04299507, arXiv:2311.12141 (2023) [bibtex – poster]
  Short version: FPSAC 2024. Séminaire Lotharingien de Combinatoire, 91B, Art. 90, 1–12 (2024)
  
• Compact Brownian surfaces II. Orientable surfaces
   ☻ G. Miermont.
  Memoirs of the European Mathematical Society, to appear. (2022) [bibtex – beamer]
  

Publications

• Scaling limit of random plane quadrangulations with a simple boundary, via restriction
   ☻ N. Curien, L. Fredes, A. Sepúlveda.
  Annales de l’Institut Henri Poincaré (B), 61, 213–231 (2025) [bibtex – beamer]
  
• A bijection for nonorientable general maps
  Annales de l’Institut Henri Poincaré (D), 9, 733–791 (2022) [bibtex – poster – beamer]
  Short version: FPSAC 2016. Discrete Math. Theor. Comput. Sci. Proc., BC, 227–238 (2016) [note]
  
• Slit-slide-sew bijections for bipartite and quasibipartite plane maps
  Electronic Journal of Combinatorics, 27(3), P3.4, 1–23 (2020) [bibtex – poster – beamer – note]
  Short version: FPSAC 2019. Séminaire Lotharingien de Combinatoire, 82B, Art. 82, 1–12 (2019)
  
• Convergence of uniform noncrossing partitions toward the Brownian triangulation
  FPSAC 2018. Séminaire Lotharingien de Combinatoire, 80B, Art. 38, 1–12 (2018) [bibtex – poster – beamer]
  
• A bijective study of basketball walks
   ☻ E. Fusy, C. Mailler, L. Randazzo.
  Séminaire Lotharingien de Combinatoire, 77, Art. B77a, 1–24 (2016) [bibtex – beamer]
  
• Compact Brownian surfaces I. Brownian disks
   ☻ G. Miermont.
  Probability Theory and Related Fields, 167, 555–614 (2017) [bibtex – beamer]
  
• A simple explicit bijection between (n,2)-Gog and Magog trapezoids
  Séminaire Lotharingien de Combinatoire, 75, Art. B75e, 1–9 (2016) [bibtex – beamer]
  
• Geodesics in Brownian surfaces (Brownian maps)
  Annales de l’Institut Henri Poincaré (B), 52, 612–646 (2016) [bibtex – beamer]
  
• 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]
  
• Increasing forests and quadrangulations via a bijective approach
  Journal of Combinatorial Theory, Series A, 122, 107–125 (2014) [bibtex – French beamer]
  
• Scaling limit of random planar quadrangulations with a boundary
  Annales de l’Institut Henri Poincaré (B), 51, 432–477 (2015) [bibtex]
  
• The topology of scaling limits of positive genus random quadrangulations
  The Annals of Probability, 40, 1897–1944 (2012) [bibtex – French beamer]
  
• Scaling limits for random quadrangulations of positive genus
  Electronic Journal of Probability, 15, 1594–1644 (2010) [bibtex – French beamer]
  

Proceedings

• 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

• Limite d'échelle et combinatoire bijective de cartes (in French)
  Habilitation thesis [beamer]
  
• Scaling limit of arbitrary genus random maps (with introduction in French)
  Ph.D. thesis, advised by Grégory Miermont [beamer – French beamer]
  
• Semaine d'étude 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-Gérard, G. Lepoultier, L. Navoret, E. Parini.
  Proceeding of a week work on a subject given by GDF-Suez (French gaz and electricity company)
  

Unpublished works

• Introduction aux cartes aléatoires (in French)
  ENS thesis [French beamer]
  
• Quadrangulations aléatoires et processus de branchement (in French)
  Simplified explanation of an article by Maxim Krikun realized for Grégory Miermont's course on random maps [French beamer]
  
• Percolation de premier passage et coloriages aléatoires de Z^d (in French)
  M2 thesis supervised by Olivier Garet [French beamer]
  
• Division de la lemniscate à la règle et au compas (in French)
  M1 thesis supervised by Yves Benoist