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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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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
- 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
- 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,
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 – beamer (in French)]
- Scaling Limit of Random Planar Quadrangulations with a Boundary
Annales de l’Institut Henri Poincaré,
51, 432–477 (2015) [bibtex]
- The Topology of Scaling Limits of Positive Genus Random Quadrangulations
The Annals of Probability,
40, 1897–1944 (2012) [bibtex – beamer (in French)]
- Scaling Limits for Random Quadrangulations of Positive Genus
Electronic Journal of Probability,
15, 1594–1644 (2010) [bibtex – beamer (in French)]
Proceedings
- Random maps
☻ C. Abraham, G. Collet, I. Kortchemski.
ESAIM: PROCEEDINGS AND SURVEYS,
51, 133-149 (2015) [bibtex]
Lecture notes
Miscellaneous
