Quentin Berger Professeur

Identifiants chercheurs

IdHAL :

quentin-berger

ORCID :

0000-0002-9462-8143

IdRef :

163646236

arXiv :

berger_q_1

Présentation

I work in the field of Probability and statistical physics, and I study in particular disordered systems. I am particularly interested in polymer models, among other topics.

Keywords: Statistical physics, disordered systems, stochastic PDEs, polymers, phase transition, critical phenomena, influence of disorder, random walks, renewal processes, first-passage percolation, last-passage percolation...

My webpage

Publications

Pré-publication, Document de travail (8)

A random polymer approach to the weak disorder phase of the vertex reinforced jump process Quentin Berger,Alexandre Legrand,Rémy Poudevigne-Auboiron,Christophe Sabot 2025 Pré-publication, Document de travail hal-05210857v1
The random walk pinning model I: lower bounds on the free energy and disorder irrelevance Quentin Berger,Hubert Lacoin 2025 Pré-publication, Document de travail hal-05250071v1
The random walk pinning model II: upper bounds on the free energy and disorder relevance Quentin Berger,Hubert Lacoin 2025 Pré-publication, Document de travail hal-05250053v1
Strong disorder for stochastic heat flow and 2D directed polymers Quentin Berger,Francesco Caravenna,Nicola Turchi 2025 Pré-publication, Document de travail hal-05210710v1
Some properties of the principal Dirichlet eigenfunction in Lipschitz domains, via probabilistic couplings Quentin Berger,Nicolas Bouchot 2025 Pré-publication, Document de travail hal-05210848v1
Non-linear conductances of Galton-Watson trees and application to the (near) critical random cluster model Irene Ayuso Ventura,Quentin Berger 2024 Pré-publication, Document de travail hal-04553403v1
On joint returns to zero of Bessel processes Quentin Berger,Loïc Béthencourt,Camille Tardif 2024 Pré-publication, Document de travail hal-04629186v1
Persistence problems for additive functionals of one-dimensional Markov processes Quentin Berger,Loïc Béthencourt,Camille Tardif 2023 Pré-publication, Document de travail hal-04075153v1

Article dans une revue (37)

Collective vs. individual behaviour for sums of i.i.d. random variables: appearance of the one-big-jump phenomenon Quentin Berger,Matthias Birkner,Linglong Yuan Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2025, 6:33 (5), pp.1413-1485. ⟨10.5802/afst.1802⟩ Article dans une revue hal-04075154v2
Some topics in random walks Quentin Berger,Celine Bonnet,Lucile Laulin,Kilian Raschel ESAIM: Proceedings and Surveys, 2025, Journées MAS 2022 - Dynamic and Stochastic Modelling Rouen, France, August 29–31, 2022, 80, pp.51-71. ⟨10.1051/proc/202580051⟩ Article dans une revue hal-05210861v1
Scaling limit of the disordered generalized Poland-Scheraga model for DNA denaturation Quentin Berger,Alexandre Legrand Probability Theory and Related Fields, 2024, 190, pp.179-258. ⟨10.1007/s00440-024-01304-1⟩ Article dans une revue hal-03792510v2
Wetting on a wall and wetting in a well: Overview of equilibrium properties Quentin Berger,Brune Massoulié Stochastic Processes and their Applications, 2024, 170, pp.104299. ⟨10.1016/j.spa.2024.104299⟩ Article dans une revue hal-04210456v1
Ising model on a Galton-Watson tree with a sparse random external field Irene Ayuso Ventura,Quentin Berger Electronic Journal of Probability, 2024, 29, pp.1-43. ⟨10.1214/24-EJP1232⟩ Article dans une revue hal-04253083v2
The stochastic heat equation with multiplicative Lévy noise: Existence, moments, and intermittency Quentin Berger,Carsten Chong,Hubert Lacoin Communications in Mathematical Physics, 2023, 402, pp.2215-2299. ⟨10.1007/s00220-023-04768-9⟩ Article dans une revue hal-03451454v2
Non-directed polymers in heavy-tail random environment in dimension d≥2 Quentin Berger,Niccolò Torri,Ran Wei Electronic Journal of Probability, 2022, ⟨10.1214/22-EJP873⟩ Article dans une revue hal-03907215v2
The continuum directed polymer in Lévy Noise Quentin Berger,Hubert Lacoin Journal de l'École polytechnique — Mathématiques, 2022, ⟨10.5802/jep.182⟩ Article dans une revue hal-02977537v1
One-dimensional polymers in random environments: stretching vs. folding Quentin Berger,Chien-Hao Huang,Niccolò Torri,Ran Wei Electronic Journal of Probability, 2022, 27, pp.1-45 Article dans une revue hal-02481232v2
The scaling limit of the directed polymer with power-law tail disorder Quentin Berger,Hubert Lacoin Communications in Mathematical Physics, 2021, ⟨10.1007/s00220-021-04082-2⟩ Article dans une revue hal-02977536v1
Beyond Hammersley's Last-Passage Percolation: a discussion on possible local and global constraints Quentin Berger,Niccolò Torri Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2021, 8 (2), pp.213-241. ⟨10.4171/AIHPD/102⟩ Article dans une revue hal-01706671v3
Scaling Limit of Sub-ballistic 1D Random Walk among Biased Conductances: a Story of Wells and Walls Quentin Berger,Michele Salvi Electronic Journal of Probability, 2020, 25, p. 1-43. ⟨10.1214/20-EJP427⟩ Article dans une revue hal-02102218v1
Disorder And Denaturation Transition In The Generalized Poland-scheraga Model Quentin Berger,Giambattista Giacomin,Maha Khatib Annales Henri Lebesgue, 2020, 3 Article dans une revue hal-01852130v1
Notes on Random Walks in the Cauchy Domain of Attraction Quentin Berger Probability Theory and Related Fields, 2019, 175 (1-2), pp.1-42. ⟨10.1007/s00440-018-0887-0⟩ Article dans une revue hal-01576409v3
Disorder and critical phenomena: the $\alpha=0$ copolymer model Quentin Berger,Giambattista Giacomin,Hubert Lacoin Probability Theory and Related Fields, 2019, 174, pp.787-819. ⟨10.1007/s00440-018-0870-9⟩ Article dans une revue hal-01659845v1
Scaling of Sub-Ballistic 1D Random Walks Among Biased Random Conductances Quentin Berger,Michele Salvi Markov Processes And Related Fields, 2019, 25 (1), pp.171-187 Article dans une revue hal-01635371v2
Directed polymers in heavy-tail random environment Quentin Berger,Niccolò Torri The Annals of Probability, In press Article dans une revue hal-01706666v2
Entropy-controlled Last-Passage Percolation Quentin Berger,Niccolò Torri The Annals of Applied Probability, 2019, 29 (3), pp.1878-1903 Article dans une revue hal-01811267v1
Strong renewal theorems and local large deviations for multivariate random walks and renewals Quentin Berger Electronic Journal of Probability, 2019, 24, pp.46. ⟨10.1214/19-EJP308⟩ Article dans une revue hal-02171994v1
Annealed scaling for a charged polymer in dimensions two and higher Quentin Berger,Frank den Hollander,Julien Poisat Journal of Physics A: Mathematical and Theoretical, 2018, Means, methods and results in the statistical mechanics of polymeric systems: a special issue in honour of Stuart Whittington's 75th birthday, 51 (5) Article dans une revue hal-01576410v1
Pinning on a defect line: characterization of marginal disorder relevance and sharp asymptotics for the critical point shift Quentin Berger,Hubert Lacoin Journal of the Institute of Mathematics of Jussieu, 2018, 17 (2), pp.305-346. ⟨10.1017/S1474748015000481⟩ Article dans une revue hal-01141691v1
Pinning of a renewal on a quenched renewal Kenneth S. Alexander,Quentin Berger Electronic Journal of Probability, 2018, 23 (6), 48 pp. ⟨10.1214/18-EJP136⟩ Article dans une revue hal-01362825v1
Geodesics toward corners in first passage percolation Kenneth S Alexander,Quentin Berger Journal of Statistical Physics, 2018, 172 (4), pp.1029 - 1056. ⟨10.1007/s10955-018-2088-8⟩ Article dans une revue hal-01595875v2
DNA melting structures in the generalized Poland-Scheraga model Quentin Berger,Giambattista Giacomin,Maha Khatib ALEA : Latin American Journal of Probability and Mathematical Statistics, In press, 15 (2), pp.993-1025. ⟨10.30757/ALEA.v15-37⟩ Article dans une revue hal-01511318v1
The high-temperature behavior for the directed polymer in dimension 1+2 Quentin Berger,Hubert Lacoin Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2017, 53 (1), pp.430-450. ⟨10.1214/15-AIHP721⟩ Article dans une revue hal-01170204v1
Local limit theorems and renewal theory with no moments Kenneth S. Alexander,Quentin Berger Electronic Journal of Probability, 2016, 21 (66), ⟨10.1214/16-EJP13⟩ Article dans une revue hal-01291344v2
Local asymptotics for the first intersection of two independent renewals Kenneth S. Alexander,Quentin Berger Electronic Journal of Probability, 2016, 21 (68), ⟨10.1214/16-EJP17⟩ Article dans une revue hal-01291340v1
Modèles de polymère, transition d'accrochage, et désordre Quentin Berger Matapli, 2016, 109, pp.43-50 Article dans une revue hal-01413024v1
On the critical curves of the pinning and copolymer models in correlated Gaussian environment Quentin Berger,Julien Poisat Electronic Journal of Probability, 2015, 20 (71), pp.1-35. ⟨10.1214/EJP.v20-3514⟩ Article dans une revue hal-01214672v1
Influence of Disorder For the Polymer Pinning Model Quentin Berger ESAIM: Proceedings and Surveys, 2015, 51, pp.74 - 88. ⟨10.1051/proc/201551005⟩ Article dans une revue hal-01415104v1
The Critical Curve of the Random Pinning and Copolymer Models at Weak Coupling Quentin Berger,Francesco Caravenna,Julien Poisat,Rongfeng Sun,Nikos Zygouras Communications in Mathematical Physics, 2014, 326 (2), pp.507--530. ⟨10.1007/s00220-013-1849-0⟩ Article dans une revue hal-01068856v1
Pinning model in random correlated environment: appearance of an infinite disorder regime Quentin Berger Journal of Statistical Physics, 2014, 155 (3), pp.544-570. ⟨10.1007/s10955-014-0965-3⟩ Article dans une revue hal-01413009v2
Hierarchical pinning model in correlated random environment Quentin Berger,Fabio Lucio Toninelli Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2013, 49, pp.781 - 816. ⟨10.1214/12-AIHP493⟩ Article dans une revue hal-01426311v1
Comments on the Influence of Disorder for Pinning Model in Correlated Gaussian Environment Quentin Berger ALEA : Latin American Journal of Probability and Mathematical Statistics, 2013, X (2), pp.953-977 Article dans une revue hal-01426319v1
Sharp critical behavior for pinning models in a random correlated environment Quentin Berger,Hubert Lacoin Stochastic Processes and their Applications, 2012, 122 (4), pp.1397-1436. ⟨10.1016/j.spa.2011.12.007⟩ Article dans une revue hal-05210873v1
The Effect of Disorder on the Free-Energy for the Random Walk Pinning Model: Smoothing of the Phase Transition and Low Temperature Asymptotics Quentin Berger,Hubert Lacoin Journal of Statistical Physics, 2011, 142, pp.322-341. ⟨10.1007/s10955-010-0110-x⟩ Article dans une revue hal-01426338v1
On the Critical Point of the Random Walk Pinning Model in Dimension d=3 Quentin Berger,Fabio Toninelli Electronic Journal of Probability, 2010, 15, pp.654-683. ⟨10.1214/EJP.v15-761⟩ Article dans une revue hal-01426326v2

Chapitre d'ouvrage (1)

An application of Sparre Andersen's fluctuation theorem for exchangeable and sign-invariant random variables Quentin Berger,Loïc Béthencourt Séminaire de Probabilités LII, LII, Springer Nature Switzerland, pp 367-388, 2025, Lecture Notes in Mathematics, 978-3-031-86421-6. ⟨10.1007/978-3-031-86422-3_9⟩ Chapitre d'ouvrage hal-04075157v2

Ouvrages (1)

Introduction aux probabilités Quentin Berger,Francesco Caravenna,Paolo Dai Pra Dunod, 2021, 978-2-10-081486-2 Ouvrages (manuel) hal-03907229v1

HDR (1)

Random polymers and related models: disorder, localization and critical phenomena Quentin Berger Probability [math.PR]. Sorbonne Université, 2019 HDR tel-02424759v1

Article de blog scientifique (2)

Le paradoxe de Simpson illustré par des données de vaccination contre le Covid-19 Quentin Berger,Francesco Caravenna 2021 Article de blog scientifique hal-03907237v1
Maths au quotidien : L’art et la manière de mélanger un paquet de cartes Quentin Berger 2020 Article de blog scientifique hal-03907234v1