Benjamin Arras
Publications
Articles
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Covariance Representations, Lp-Poincaré Inequalities, Stein's Kernels and High Dimensional CLTs, en collaboration avec Christian Houdré. High Dimensional Probability IX: The Ethereal Volume, 2023
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On Some Operators Associated with Non-Degenerate Symmetric alpha-Stable Probability Measures, en collaboration avec Christian Houdré. A paraître dans Potential Analysis.
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Some recent advances for limit theorems, en collaboration avec Jean-Christophe Breton, Aurelia Deshayes, Olivier Durieu et Raphaël Lachièze-Rey. ESAIM Proc. Surveys, 68, EDP Sci., Les Ulis, 2020.
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Stein characterizations for linear combinations of gamma random variables, en collaboration avec Ehsan Azmoodeh, Guillaume Poly et Yvik Swan. Braz. J. Probab. Stat., 34(2):394--413, 2020.
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On Stein's Method for Multivariate Self-Decomposable Laws, en collaboration avec Christian Houdré. Electron. J. Probab., Volume 24, paper no. 128, 63 pp, 2019.
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On Stein's Method for Multivariate Self-Decomposable Laws With Finite First Moment, en collaboration avec Christian Houdré. Electron. J. Probab., Volume 24, paper no. 29, 33 pp, 2019.
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Sequential sampling for optimal weighted least squares approximations in hierarchical spaces, en collaboration avec Markus Bachmayr et Albert Cohen. SIMODS, 1(1), 189--207, 2019.
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A bound on the Wasserstein-2 distance between linear combinations of independent random variables, en collaboration avec Ehsan Azmoodeh, Guillaume Poly et Yvik Swan. Stochastic Process. Appl., 129(7):2341--2375, 2019.
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IT formulae for gamma target: mutual information and relative entropy, en collaboration avec Yvik Swan. IEEE Transactions on Information Theory, 64(2):1083--1091, 2018.
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A stroll along the gamma, en collaboration avec Yvik Swan. Stochastic Process. Appl., 127(11):3661--3688, 2017.
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A white noise approach to stochastic integration with respect to the Rosenblatt process. Potential Anal., 43(4):547--591, 2015.
- On a class of self-similar processes with stationary increments in higher order Wiener chaoses. Stochastic Process. Appl., 124(7):2415--2441, 2014.
Livres et Thèse
- On Stein's Method for Infinitely Divisible Laws with Finite First Moment, en collaboration avec Christian Houdré. SpringerBriefs in Probability and Mathematical Statistics, 2019.
- Around some selfsimilar processes with stationary increments. Thèse, 2014.
Documents de Travail
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A new approach to the Stein-Tikhomirov method: with applications to the second Wiener chaos and Dickman convergence, en collaboration avec Guillaume Mijoule, Guillaume Poly et Yvik Swan. 2016.
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Stein's method on the second Wiener chaos : 2-Wasserstein distance, en collaboration avec Ehsan Azmoodeh, Guillaume Poly et Yvik Swan. 2016.