Rémi Catellier

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Publications

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Regularization by noise for rough differential equations driven by Gaussian rough paths

Rémi Catellier , Romain Duboscq

The Annals of Probability, 2025, 53 (1), ⟨10.1214/24-AOP1701⟩

Article dans une revue hal-03723000v3
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Brownian particles controlled by their occupation measure

Loïc Béthencourt , Rémi Catellier , Etienne Tanré

SIAM Journal on Control and Optimization, 2025, 63 (2), pp.1286-1313. ⟨10.1137/24M1656220⟩

Article dans une revue hal-04540872v1

Pathwise regularization of the stochastic heat equation with multiplicative noise through irregular perturbation

Rémi Catellier , Fabian Harang

Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2023, 59 (3), ⟨10.1214/22-AIHP1302⟩

Article dans une revue hal-05478434v1

A mean-field approach to self-interacting networks, convergence and regularity

Rémi Catellier , Yves D’angelo , Cristiano Ricci

Mathematical Models and Methods in Applied Sciences, 2021, 31 (13), pp.2597-2641. ⟨10.1142/S0218202521500573⟩

Article dans une revue hal-03536553v1
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Propagation of chaos for mean field rough differential equations

Ismaël Bailleul , Rémi Catellier , François Delarue

The Annals of Probability, 2021, 49 (2), pp.944-996. ⟨10.1214/20-AOP1465⟩

Article dans une revue hal-02339372v1
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Mean field rough differential equations

Ismaël Bailleul , Rémi Catellier , Francois Delarue

Electronic Journal of Probability, 2020

Article dans une revue hal-01711183v1

Solving mean field rough differential equations

Ismaël Bailleul , Rémi Catellier , F. Delarue

Electronic Journal of Probability, 2020, 25, paper no. 21, 51 pp. ⟨10.1214/19-EJP409⟩

Article dans une revue hal-02491950v1

Hyphal network whole field imaging allows for accurate estimation of anastomosis rates and branching dynamics of the filamentous fungus Podospora anserina

J. Dikec , A. Olivier , C. Bobée , Y. D’angelo , R. Catellier et al.

Scientific Reports, 2020, 10 (1), pp.3131. ⟨10.1038/s41598-020-57808-y⟩

Article dans une revue hal-03857721v1
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Non-explosion criteria for rough differential equations driven by unbounded vector fields

Ismaël Bailleul , R Catellier

Annales de la Faculté des Sciences de Toulouse. Mathématiques., In press

Article dans une revue hal-02339348v1

Paracontrolled distributions and the 3-dimensional stochastic quantization equation

Rémi Catellier , Khalil Chouk

The Annals of Probability, 2018, 46 (5), ⟨10.1214/17-AOP1235⟩

Article dans une revue hal-03536557v1

Rough flows and homogenization in stochastic turbulence

Ismaël Bailleul , Rémi Catellier

Journal of Differential Equations, 2017, 263 (8), pp.4894-4928. ⟨10.1016/j.jde.2017.06.006⟩

Article dans une revue hal-01278161v1

Rough linear transport equation with an irregular drift

Rémi Catellier

Stochastics and Partial Differential Equations: Analysis and Computations, 2016, 4 (3), pp.477-534. ⟨10.1007/s40072-016-0069-y⟩

Article dans une revue hal-01110491v1

Averaging along irregular curves and regularisation of ODEs

R. Catellier , M. Gubinelli

Stochastic Processes and their Applications, 2016, 126 (8), pp.2323-2366. ⟨10.1016/j.spa.2016.02.002⟩

Article dans une revue hal-03536560v1
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On the Robustness of Text Vectorizers

Rémi Catellier , Samuel Vaiter , Damien Garreau

ICML 2023 - Fortieth International Conference on Machine Learning, Jul 2023, Honolulu, United States

Communication dans un congrès hal-04403681v1
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Irregular Perturbations and Rough Differential Systems

Rémi Catellier

General Mathematics [math.GM]. Université Paris Dauphine - Paris IX, 2014. English. ⟨NNT : 2014PA090032⟩

Thèse tel-01121928v1