Clément COSCO

Maître de Conférences at the CEREMADE

Field: Probability
Subject: Directed polymers in random environment
Short CV

Address:
Office p212
Université Paris Dauphine
Place du Maréchal De Lattre De Tassigny
75775 PARIS CEDEX 16 · FRANCE

E-mail address: cosco@ceremade.dauphine.fr

I am currently a maître de conférences (associate professor) at the CEREMADE in Université Paris Dauphine

Research interests

Stochastic processes, random media, random walks, stochastic partial differential equations, log-correlated fields.
Statistical physics: directed polymers, hydrodynamic limits, chaos expansions.

Preprints and publications

The maximum of the two dimensional Gaussian directed polymer in the subcritical regime (joint work with O. Zeitouni and S. Nakajima)
(Preprint) (2025) (arXiv)
High moments of 2d directed polymers up to quasi-criticality (joint work with S. Nakajima)
(Preprint) (2025) (arXiv)
On the Central Limit Theorem for the log-partition function of 2D directed polymers (joint work with A. Donadini)
(Preprint) (2024) (arXiv)
Moments of partition functions of 2D Gaussian polymers in the weak disorder regime -II (joint work with O. Zeitouni)
Electron. J. Probab. 29: 1-26 (2024) (doi)
A variational formula for large deviations in first-passage percolation under tail estimates (joint work with S. Nakajima)
Ann. Appl. Probab. 33(3): 2103-2135 (2023) (doi)
Law of large numbers and fluctuations in the sub-critical and L2 regions for SHE and KPZ equation in dimension d≥3 (joint work with S. Nakajima and M. Nakashima).
Stochastic Process. Appl. 151: 127-173 (2022) (doi)
Moments of partition functions of 2D Gaussian polymers in the weak disorder regime -I (joint work with O. Zeitouni)
Comm. Math. Phys. 403, 417–450 (2023) (doi)
Asymptotics of the p-capacity in the critical regime (joint work with S. Nakajima and F. Schweiger)
To appear in Journal of Convex Analysis (2021) (arXiv)
Directed polymers on infinite graphs (joint work with I. Seroussi and O. Zeitouni).
Comm. Math. Phys. 386(4):1-38 (2021) (doi)
Topologically induced metastability in periodic XY chain (joint work with A. Shapira).
Jour. Math. Phys. 62, 043301 (2021) (doi)
Gaussian fluctuations for the directed polymer partition function for d≥3 and in the whole L2-region (joint work with S. Nakajima).
Ann. Inst. H. Poincaré Probab. Statist. 57(2): 872-889 (2021) (doi)
Renormalizing the Kardar-Parisi-Zhang equation in d≥3 in weak disorder (joint work with F. Comets and C. Mukherjee).
J. Stat. Phys. 179, 713–728 (2020) (doi)
Space-time fluctuation of the Kardar-Parisi-Zhang equation in d≥3 and the Gaussian free field (joint work with F. Comets and C. Mukherjee).
Ann. Inst. H. Poincaré Probab. Statist. 60(1): 82-112 (2024) (doi)
Brownian Polymers in Poissonian Environment: a survey (joint work with F. Comets).
(2018) (arXiv)
The Intermediate Disorder Regime for Brownian Directed Polymers in Poisson Environment.
Indagationes Mathematicae 30(5), 805-839, (2019) (doi)
Hausdorff dimension of the record set of a fractional Brownian motion (joint work with L. Benigni, A. Shapira, and K. J. Wiese).
Electron. Commun. Probab. 23(22) (2018) (doi)

Last update: March 2025.