Lucas Gerin Professeur Assistant

Publications

Pré-publication, Document de travail (5)

Longest increasing subsequences for distributions with atoms, and an inhomogeneous Hammersley process Anne-Laure Basdevant,Lucas Gerin,Maxime Marivain 2025 Pré-publication, Document de travail hal-05145015v2
Maximal Entropy Random Walks in Z: Random and non-random environments Duboux Thibaut,Lucas Gerin,Yoann Offret 2025 Pré-publication, Document de travail hal-04997495v2
Dense and nondense limits for uniform random intersection graphs Frédérique Bassino,Mathilde Bouvel,Valentin Féray,Lucas Gerin,Adeline Pierrot 2024 Pré-publication, Document de travail hal-04456866v1
The Ulam-Hammersley problem for multiset permutations Lucas Gerin 2023 Pré-publication, Document de travail (preprint/prepublication) hal-03920072v5
A Branching-selection process related to censored Galton-Walton processes Olivier Couronné,Lucas Gerin 2012 Pré-publication, Document de travail hal-00637584v3

Article dans une revue (17)

Scaling limit of graph classes through split decomposition Frédérique Bassino,Mathilde Bouvel,Valentin Féray,Lucas Gerin,Adeline Pierrot The Australasian Journal of Combinatorics, 2025, 92 (3), pp.266-319. ⟨10.48550/arXiv.2207.12253⟩ Article dans une revue hal-03797906v1
Maximal Entropy Random Walks in Z: Random and non-random environments Thibaut Duboux,Lucas Gerin,Yoann Offret Journal of Statistical Physics, 2025, 192 (10), pp.140. ⟨10.1007/s10955-025-03516-8⟩ Article dans une revue hal-05456023v1
Linear-sized independent sets in random cographs and increasing subsequences in separable permutations Frédérique Bassino,Mathilde Bouvel,Michael Drmota,Valentin Feray,Lucas Gerinet al. Combinatorial Theory, 2022, 2 (3), pp.23340676. ⟨10.5070/C62359179⟩ Article dans une revue hal-03366684v1
Random cographs: Brownian graphon limit and asymptotic degree distribution Frédérique Bassino,Mathilde Bouvel,Valentin Féray,Lucas Gerin,Mickaël Maazounet al. Random Structures and Algorithms, 2022, 60 (2), pp.166-200. ⟨10.1002/rsa.21033⟩ Article dans une revue hal-02412976v1
Scaling limits of permutation classes with a finite specification: a dichotomy Frédérique Bassino,Mathilde Bouvel,Valentin Féray,Lucas Gerin,Mickaël Maazounet al. Advances in Mathematics, 2022, 405, pp.108513. ⟨10.1016/j.aim.2022.108513⟩ Article dans une revue hal-02412965v1
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⟩ Article dans une revue hal-02437174v2
Universal limits of substitution-closed permutation classes Frédérique Bassino,Mathilde Bouvel,Valentin Féray,Lucas Gerin,Mickaël Maazounet al. Journal of the European Mathematical Society, 2020, 22 (11), pp.3565-3639. ⟨10.4171/JEMS/993⟩ Article dans une revue hal-01653572v1
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 Article dans une revue hal-01796897v2
The Brownian limit of separable permutations Frédérique Bassino,Mathilde Bouvel,Valentin Féray,Lucas Gerin,Adeline Pierrot The Annals of Probability, 2018, 46 (4), pp.2134 - 2189. ⟨10.1214/17-AOP1223⟩ Article dans une revue hal-01818309v1
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⟩ Article dans une revue hal-01313542v1
The Page-Rényi parking process Lucas Gerin The Electronic Journal of Combinatorics, 2015, 22 (4), pp.P.4.4 Article dans une revue hal-01088818v3
The shape of large balls in highly supercritical percolation Anne-Laure Basdevant,Nathanaël Enriquez,Lucas Gerin,Jean-Baptiste Gouéré Electronic Journal of Probability, 2014, pp.DOI: 10.1214/EJP.v19-3062 Article dans une revue hal-00819221v1
Distances in the highly supercritical percolation cluster Anne-Laure Basdevant,Nathanaël Enriquez,Lucas Gerin The Annals of Probability, 2013, 41 (6), pp.4342-4358 Article dans une revue hal-00639584v2
On the algebraic numbers computable by some generalized Ehrenfest urns Marie Albenque,Lucas Gerin Discrete Mathematics and Theoretical Computer Science, 2012, 14 (2), pp.271-284 Article dans une revue hal-00589621v3
Construction of a short path in high dimensional First Passage Percolation Olivier Couronné,Nathanaël Enriquez,Lucas Gerin Electronic Communications in Probability, 2011, 16, pp.22--28 Article dans une revue hal-00512399v2
Examples of Fast and Slow Convergence of 2D Asynchronous Cellular Systems Nazim A. Fatès,Lucas Gerin Journal of Cellular Automata, 2009, 4 (4), pp.323-337 Article dans une revue hal-00260184v4
On the convergence of population protocols when population goes to infinity Olivier Bournez,Philippe Chassaing,Xavier Koegler,Lucas Gerin,Johanne Cohen Applied Mathematics and Computation, 2009, Applied Mathematics and Computation, 215, pp.1340-1350. ⟨10.1016/j.amc.2009.04.056⟩ Article dans une revue inria-00432318v1

Chapitre d'ouvrage (1)

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⟩ Chapitre d'ouvrage hal-00981609v2

Communication dans un congrès (4)

Random sampling of lattice paths with constraints, via transportation Lucas Gerin 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), 2010, Vienna, Austria. pp.317-328, ⟨10.46298/dmtcs.2783⟩ Communication dans un congrès hal-00439479v4
On the Convergence of a Population Protocol When Population Goes to Infinity Olivier Bournez,Philippe Chassaing,Johanne Cohen,Lucas Gerin,Xavier Koegler Physics and Computations, Worshop of Unconventional Computation - UC 2008, Aug 2008, Vienne, Austria Communication dans un congrès inria-00308018v1
Asynchronous Cellular Automata and Brownian Motion Philippe Chassaing,Lucas Gerin 2007 Conference on Analysis of Algorithms, AofA 07, 2007, Juan les Pins, France. pp.423-442, ⟨10.46298/dmtcs.3527⟩ Communication dans un congrès hal-00133721v3
Efficient estimation of the cardinality of large data sets Philippe Chassaing,Lucas Gerin Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. pp.419-422, ⟨10.46298/dmtcs.3492⟩ Communication dans un congrès hal-00095370v5

HDR (1)

Percolation, permutations, particules en interaction Lucas Gerin Probabilités [math.PR]. Paris Saclay, 2018 HDR tel-01838158v2