Quentin Berger

Professeur
50
Documents
Affiliations actuelles
  • Institut universitaire de France (IUF)
  • Laboratoire Analyse, Géométrie et Applications (LAGA)
  • Université Sorbonne Paris Nord
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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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-04075154 v2
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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-05210861 v1
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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-04253083 v2
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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, In press, 170, pp.104299. ⟨10.1016/j.spa.2024.104299⟩
Article dans une revue hal-04210456 v1
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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-03792510 v2
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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-03451454 v2
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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-03907215 v2
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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-02977537 v1
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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-02481232 v2
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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-02977536 v1
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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-01706671 v3
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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, pp.299-339. ⟨10.5802/ahl.34⟩
Article dans une revue hal-03911982 v1
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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-01852130 v1
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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-02102218 v1
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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-01576409 v3
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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-01659845 v1
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Directed polymers in heavy-tail random environment

Quentin Berger , Torri Niccolo
Annals of Probability, In press
Article dans une revue hal-01706666 v2
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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-01811267 v1
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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-01635371 v2
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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-02171994 v1
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DNA MELTING STRUCTURES IN THE GENERALIZED POLAND-SCHERAGA MODEL

Quentin Berger , Maha Khatib
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2018, 15 (2), pp.993-1025. ⟨10.30757/alea.v15-37⟩
Article dans une revue hal-03911997 v1
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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-01576410 v1
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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 de l'Institut de Mathématiques de Jussieu, 2018, 17 (2), pp.305-346. ⟨10.1017/S1474748015000481⟩
Article dans une revue hal-01141691 v1
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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-01362825 v1
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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-01595875 v2
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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-01511318 v1
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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-01170204 v1
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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-01291344 v2
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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-01291340 v1
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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-01413024 v1
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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-01214672 v1
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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-01415104 v1
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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
Article dans une revue hal-01413009 v1
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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-01068856 v1
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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-01426311 v1
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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-01426319 v1
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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-05210873 v1
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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-01426338 v1
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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-01426326 v2