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Lucas Gerin

Professeur Assistant
13
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Research domains

Probability [math.PR]

Publications

Linear-sized independent sets in random cographs and increasing subsequences in separable permutations

Frédérique Bassino , Mathilde Bouvel , Michael Drmota , Valentin Feray , Lucas Gerin
Combinatorial Theory, 2022, 2 (3), https://escholarship.org/uc/item/23340676. ⟨10.5070/C62359179⟩
Journal articles hal-03366684v1

Random cographs: Brownian graphon limit and asymptotic degree distribution

Frédérique Bassino , Mathilde Bouvel , Valentin Féray , Lucas Gerin , Mickaël Maazoun
Random Structures and Algorithms, 2022, 60 (2), pp.166-200. ⟨10.1002/rsa.21033⟩
Journal articles hal-02412976v1
Image document

Longest increasing paths with Lipschitz constraints

Anne-Laure Basdevant , Lucas Gerin
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2022, 58 (3), ⟨10.1214/21-AIHP1220⟩
Journal articles hal-02437174v2
Image document

Scaling limits of permutation classes with a finite specification: a dichotomy

Frédérique Bassino , Mathilde Bouvel , Valentin Féray , Lucas Gerin , Mickaël Maazoun
Advances in Mathematics, 2022, 405, pp.108513. ⟨10.1016/j.aim.2022.108513⟩
Journal articles hal-02412965v1

Universal limits of substitution-closed permutation classes

Frédérique Bassino , Mathilde Bouvel , Valentin Féray , Lucas Gerin , Mickaël Maazoun
Journal of the European Mathematical Society, 2020, 22 (11), pp.3565-3639. ⟨10.4171/JEMS/993⟩
Journal articles hal-01653572v1
Image document

Longest increasing paths with gaps

Anne-Laure Basdevant , Lucas Gerin
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2019, 16 (2), pp.1141--1163
Journal articles hal-01796897v2
Image document

From Hammersley's lines to Hammersley's trees

Anne-Laure Basdevant , Lucas Gerin , Jean-Baptiste Gouere , Arvind Singh
Probability Theory and Related Fields, 2018, 171 (1-2), pp.1-51. ⟨10.1007/s00440-017-0772-2⟩
Journal articles hal-01313542v1
Image document

The Brownian limit of separable permutations

Frédérique Bassino , Mathilde Bouvel , Valentin Féray , Lucas Gerin , Adeline Pierrot
Annals of Probability, 2018, 46 (4), pp.2134 - 2189. ⟨10.1214/17-AOP1223⟩
Journal articles hal-01818309v1
Image document

Epidemics and the Eden model : a detailed study of robustness

Lucas Gerin
P.-Y.Louis, F.Nardi. Probabilistic Cellular Automata., Emergence, Complexity and Computation, vol 27, Springer, pp.165-178, 2018, Emergence, Complexity and Computation, ⟨10.1007/978-3-319-65558-1_12⟩
Book sections hal-00981609v2
Image document

Percolation, permutations, particules en interaction

Lucas Gerin
Probabilités [math.PR]. Paris Saclay, 2018
Habilitation à diriger des recherches tel-01838158v2