Quentin Berger

Professeur
94 %
Libre accès
50
Documents
Affiliations actuelles
  • Laboratoire Analyse, Géométrie et Applications (LAGA)
  • Université Sorbonne Paris Nord
  • Institut universitaire de France (IUF)
Contact

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

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Publications

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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
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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
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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
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Strong disorder for stochastic heat flow and 2D directed polymers

Quentin Berger , Francesco Caravenna , Nicola Turchi

2025

Pré-publication, Document de travail hal-05210710v1
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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
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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
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On joint returns to zero of Bessel processes

Quentin Berger , Loïc Béthencourt , Camille Tardif

2024

Pré-publication, Document de travail hal-04629186v1
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Persistence problems for additive functionals of one-dimensional Markov processes

Quentin Berger , Loïc Béthencourt , Camille Tardif

2023

Pré-publication, Document de travail hal-04075153v1
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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
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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
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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
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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
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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
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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
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Non-directed polymers in heavy-tail random environment in dimension d≥2

Quentin Berger , Torri Niccolo , Ran Wei

Electronic Journal of Probability, 2022, ⟨10.1214/22-EJP873⟩

Article dans une revue hal-03907215v2
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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
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One-dimensional polymers in random environments: stretching vs. folding

Quentin Berger , Chien-Hao Huang , Torri Niccolo , Ran Wei

Electronic Journal of Probability, 2022, 27, pp.1-45

Article dans une revue hal-02481232v2
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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
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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
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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
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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
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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
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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
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Directed polymers in heavy-tail random environment

Quentin Berger , Torri Niccolo

The Annals of Probability, In press

Article dans une revue hal-01706666v2
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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
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Entropy-controlled Last-Passage Percolation

Quentin Berger , Torri Niccolo

The Annals of Applied Probability, 2019, 29 (3), pp.1878-1903

Article dans une revue hal-01811267v1
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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
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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
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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
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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
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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. ⟨10.30757/ALEA.v15-37⟩

Article dans une revue hal-01511318v1
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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
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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
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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
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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
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Modèles de polymère, transition d'accrochage, et désordre

Quentin Berger

Matapli, 2016, 109, pp.43-50

Article dans une revue hal-01413024v1
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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