Liste de publications et prépublications
Mes travaux de recherche concernent principalement l'étude des processus de branchements, en particulier les marches aléatoires branchantes et processus de Lévy branchants. On trouvera ci-dessous ma liste de prépublications et publications dans des revues mathématiques, organisées par ancienneté. On pourra également trouver des articles de popularisation, mes productions d'étudiant et des notes non-publiées. N'hésitez pas à me contacter en cas de questions sur mes publications, ou si vous notez des erreurs sur les pages dédiées.
Prépublications
- Selection of the fittest or selection of the luckiest: the emergence of Goodhart's law in evolution
Bastien Mallein, Francesco Paparella, Emmanuel Schertzer et Zsófia Talyigás [pdf, arXiv, hal, bib] - Reinforced Galton--Watson processes III: Empirical offspring distributions
Jean Bertoin et Bastien Mallein [pdf, arXiv, hal, bib] - The Derrida--Retaux model on a geometric Galton--Watson tree
Gerold Alsmeyer, Yueyun Hu et Bastien Mallein [pdf, arXiv, hal, bib] - The Yaglom limit for branching Brownian motion with absorption and slightly subcritical drift
Julien Berestycki, Jiaqi Liu, Bastien Mallein et Jason Schweinsberg [pdf, arXiv, hal, bib] - Phase transition of the consistent maximal displacement of branching Brownian motion
Julien Berestycki, Jiaqi Liu, Bastien Mallein et Jason Schweinsberg [pdf, arXiv, hal, bib] - Extremal Process of Last Progeny Modified Branching Random Walks
Partha Pratim Ghosh et Bastien Mallein [pdf, arXiv, hal, bib] - KPP traveling waves in the half-space
Julien Berestycki, Cole Graham, Yujin H. Kim et Bastien Mallein [pdf, arXiv, hal, bib] - Tight estimates of exit and containment probabilities for nonlinear stochastic systems
Quang-Cuong Pham, Bastien Mallein et Jean-Jacques Slotine [pdf, arXiv, hal, bib]
Publications
- The longest branches in a non-Markovian phylogenetic tree
Sergey Bocharov, Simon C. Harris et Bastien Mallein Branching Processes and Related Fields (2024), to appear. [pdf, arXiv, hal, bib] - Freezing in the Infinite-Bin Model
Bastien Mallein, Sanjay Ramassamy et Arvind Singh Ann. Henri Lebesgue (2025), to appear. [pdf, arXiv, hal, bib] - Last passage percolation and limit theorems in Barak-Erdős directed random graphs and related models
Sergey Foss, Takis Konstantopoulos, Bastien Mallein et Sanjay Ramassamy Probab. Surv. 21 (2024), 67--170. [pdf, arXiv, hal, bib] - Fragmentation processes and the convex hull of the Brownian motion in a disk
Bénédicte Haas et Bastien Mallein Ann. Henri Lebesgue (2025), to appear. [pdf, arXiv, hal, bib] - Reinforced Galton-Watson processes II: Large time behaviors
Jean Bertoin et Bastien Mallein Ann. Appl. Probab. 35 (2025), no. 2, 1353-1372. [pdf, arXiv, hal, bib] - Reinforced Galton-Watson processes I: Malthusian exponents
Jean Bertoin et Bastien Mallein Random Structures Algorithms 65 (2024), no. 2, 387--410. [pdf, arXiv, hal, bib] - The extremal point process of branching Brownian motion in ℝd
Julien Berestycki, Yujin H. Kim, Eyal Lubetzky, Bastien Mallein et Ofer Zeitouni Ann. Probab. 52 (2024), no. 3, 955-982. [pdf, arXiv, hal, bib] - Branching Brownian motion conditioned on small maximum
Xinxin Chen, Hui He et Bastien Mallein ALEA, Lat. Am. J. Probab. Math. Stat. 20 (2023), no. 2, 905--940. [pdf, arXiv, hal, bib] - Estimation of the last passage percolation constant in a charged complete directed acyclic graph via perfect simulation
Sergey Foss, Takis Konstantopoulos, Bastien Mallein et Sanjay Ramassamy ALEA, Lat. Am. J. Probab. Math. Stat. 20 (2023), no. 1, 547--560. [pdf, arXiv, hal, bib] - A necessary and sufficient condition for the convergence of the derivative martingale in a branching Lévy process
Bastien Mallein et Quan Shi Bernoulli 29 (2023), no. 1, 597--624. [pdf, arXiv, hal, bib] - A simple backward construction of Branching Brownian motion with large displacement and applications
Julien Berestycki, Éric Brunet, Aser Cortines et Bastien Mallein Ann. Inst. Henri Poincaré, Probab. Stat. 58 (2022), no. 4, 2094--2113. [pdf, arXiv, hal, bib] - On the length of the shortest path in a sparse Barak-Erdős graph
Bastien Mallein et Pavel Tesemnikov Stat. Probab. Lett. 190 (2022), 5 p.. [pdf, arXiv, hal, bib] - A tractable non-adaptative group testing method for non-binary measurements
Emilien Joly et Bastien Mallein ESAIM Probab. Stat. 26 (2022), 283--303. [pdf, arXiv, hal, bib] - Total number of births on the negative half-line of the binary branching Brownian motion in the boundary case
Xinxin Chen et Bastien Mallein Electron. Commun. Probab. 27 (2022), no. 7, 11 pp. [pdf, arXiv, hal, bib] - A simple method to find all solutions to the functional equation of the smoothing transform
Gerold Alsmeyer et Bastien Mallein J. Theor. Probab. (2022), 31 pp. [pdf, arXiv, hal, bib] - Late levels of nested occupancy scheme in random environment
Alexander Iksanov et Bastien Mallein Stochastic Models 38 (2022), no. 1, 130--166. [pdf, arXiv, hal, bib] - On the branching convolution equation E=Z⊛E
Pascal Maillard et Bastien Mallein Electron. Commun. Probab. 26 (2021), no. 59, 12 pp. [pdf, arXiv, hal, bib] - Anomalous spreading in reducible multitype branching Brownian motion
Mohamed Ali Belloum et Bastien Mallein Electron. J. Probab. 26 (2021), no. 61, 39 pp. [pdf, arXiv, hal, bib] - Group testing as a strategy for the epidemiologic monitoring of COVID-19
Vincent Brault, Bastien Mallein et Jean-François Rupprecht PLOS Comput. Biol. 17 (2021), no. 3, 25 pp. [pdf, arXiv, hal, bib] - Barak-Erdős graphs and the infinite-bin model
Bastien Mallein et Sanjay Ramassamy Ann. Instit. Henri Poincaré Probab. Stat. 57 (2021), no. 4, 1940--1967. [pdf, arXiv, hal, bib] - Derivative martingale of the branching Brownian motion in dimension d≥1
Roman Stasiński, Julien Berestycki et Bastien Mallein Ann. Instit. Henri Poincaré Probab. Stat. 57 (2021), no. 3, 1786--1810. [pdf, arXiv, hal, bib] - On the derivative martingale in a branching random walk
Dariusz Buraczewski, Alexander Iksanov et Bastien Mallein Ann. Probab. 49 (2021), no. 3, 1164--1204. [pdf, arXiv, hal, bib] - An exactly solvable continuous-time Derrida--Retaux model
Yueyun Hu, Bastien Mallein et Michel Pain Comm. Math. Phys. 375 (2020), no. 1, 605--651. [pdf, arXiv, hal, bib] - Coalescences in Continuous-State Branching Processes
Clément Foucart, Chunhua Ma et Bastien Mallein Electron. J. Probab. 24 (2019), no. 103, 52 pp. [pdf, arXiv, hal, bib] - Capturability-based Pattern Generation for Walking with Variable Height
Stéphane Caron, Adrien Escande, Leonardo Lanari et Bastien Mallein IEEE T-RO 36 (2020), no. 2, 517--536. [pdf, arXiv, hal, bib] - A result on power moments of Lévy-type perpetuities and its application to the Lp-convergence of Biggins' martingales in branching Lévy processes.
Alexander Iksanov et Bastien Mallein ALEA Lat. Am. J. Prob. Math. Stat. 16 (2019), no. 1, 315--331. [pdf, arXiv, hal, bib] - Two-sided infinite-bin models and analyticity for Barak–Erdős graphs
Bastien Mallein et Sanjay Ramassamy Bernoulli 25 (2019), no. 4B, 3479 -- 3495. [pdf, arXiv, hal, bib] - On the trajectory of an individual chosen according to supercritical Gibbs measure in the branching random walk
Xinxin Chen, Thomas Madaule et Bastien Mallein Stochastic Process. Appl. 129 (2019), no. 10, 3821--3858. [pdf, arXiv, hal, bib] - Infinitely ramified point measures and branching Lévy processes
Jean Bertoin et Bastien Mallein Ann. Probab. 47 (2019), no. 3, 1619--1652. [pdf, arXiv, hal, bib] - Maximal displacement of a supercritical branching random walk in a time-inhomogeneous random environment
Bastien Mallein et Piotr Miłoś Stochastic Process. Appl. 129 (2019), no. 9, 3239--3260. [pdf, arXiv, hal, bib] - Necessary and sufficient conditions for the convergence of the consistent maximal displacement of the branching random walk
Bastien Mallein Braz. J. Probab. Stat. 33 (2019), no. 2, 356--373. [pdf, arXiv, hal, bib] - The genealogy of an exactly solvable Ornstein-Uhlenbeck type branching process with selection
Aser Cortines et Bastien Mallein Electron. Commun. Probab. 23 (2018), no. 98, 13 pp. [pdf, arXiv, hal, bib] - Branching-stable point processes and measures
Jean Bertoin, Aser Cortines et Bastien Mallein Adv. Appl. Probab. 50 (2018), no. 4, 1294--1314. [pdf, arXiv, hal, bib] - Biggins' Martingale Convergence for Branching Lévy Processes
Jean Bertoin et Bastien Mallein Electron. Commun. Probab. 23 (2018), no. 83, 12 pp. [pdf, arXiv, hal, bib] - Brownian Motion and Random Walk above Quenched Random Wall
Bastien Mallein et Piotr Miłoś Ann. Instit. Henri Poincaré Probab. Stat. 54 (2018), no. 4, 1877--1916. [pdf, arXiv, hal, bib] - Genealogy of the extremal process of the branching random walk
Bastien Mallein ALEA Lat. Am. J. Probab. Math. Stat. 15 (2018), no. 2, 1065--1087. [pdf, arXiv, hal, bib] - Balance Control Using Both ZMP and COM Height Variations: A Convex Boundedness Approach
Stéphane Caron et Bastien Mallein ICRA 2018 (2018), 1779--1784. [pdf, arXiv, hal, bib] - Branching random walks with trapping zones
Romain Biard, Bastien Mallein et Landy Rabehasaina Stochastic Process. Appl. 128 (2018), no. 7, 2341--2366. [pdf, arXiv, hal, bib] - N-branching random walk with α-stable spine
Bastien Mallein Theor. Probab. Appl. 62 (2018), no. 2, 295--318. [pdf, arXiv, hal, bib] - Second order behavior of the block counting process of beta coalescents
Yier Lin et Bastien Mallein Electron. Commun. Probab. 22 (2017), no. 61, 8 pp. [pdf, arXiv, hal, bib] - Branching random walk with selection at critical rate
Bastien Mallein Bernoulli 23 (2017), no. 3, 1784--1821. [pdf, arXiv, hal, bib] - A N-branching random walk with random selection
Aser Cortines et Bastien Mallein ALEA Lat. Am. J. Probab. Math. Stat. 14 (2017), no. 1, 117--137. [pdf, arXiv, hal, bib] - Maximal displacement of d-dimensional branching Brownian motion
Bastien Mallein Electron. Commun. Probab. 20 (2015), no. 76, 12 pp. [pdf, arXiv, hal, bib] - Maximal displacement of a branching random walk in time-inhomogeneous environment
Bastien Mallein Stochastic Process. Appl. 125 (2015), no. 10, 3958--4019. [pdf, arXiv, hal, bib] - Maximal displacement in a branching random walk through interfaces
Bastien Mallein Electron. J. Probab. 20 (2015), no. 68, 40 pp. [pdf, arXiv, hal, bib]
Popularisation scientifique
- Asymptotic of the maximal displacement in a branching random walk.
Bastien Mallein, Graduate J. Math., 1 (2016), no. 2, 92--104. [pdf, arXiv, hal, bib] - Disponibles sur CultureMATH
Mémoires d'études
- Manuscrit de thèse : Marches aléatoires branchantes, temps inhomogène, sélection, sous la direction de Zhan Shi.
- Mémoire de Magistère, sous la direction de Zhan Shi.
- Introduction à un domaine de recherche : Les marches aléatoires branchantes, sous la direction de Zhan Shi.
- Mémoire de M2 : Divergence des processus coalescents spatiaux, d'après Angel, Berestycki et Limic, sous la direction de Jean Bertoin.
- Rapport de stage : Convergence de certaines classes de superprocessus vers des processus de Dawson-Watanabe, effectué sous la direction d'Edwin Perkins. (également en anglais).
- Mémoire de maitrise : Les urnes aléatoires, réalisé avec Vincent Brault sous la direction de Philippe Marchal.