Geodesic
Some recent advances for limit theorems
Benjamin Arras1 ; Jean-Christophe Breton2 ; Aurelia Deshayes3 ; Olivier Durieu4 ; Raphaël Lachièze-Rey5
1 Univ. Lille, CNRS, UMR 8524 - Laboratoire Paul Painlevé, F-59000 Lille, France
2 Univ Rennes, CNRS, IRMAR-UMR 6625, F-35000 Rennes, France
3 Learning, Data & Robotics Lab - ESIEA, Paris, France and Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées-UMR 8050, UPEM, UPEC, CNRS, F-94010, Créteil, France
4 Institut Denis Poisson-UMR 7013, Université de Tours, Parc de Grandmont, 37200 Tours, France
5 MAP5-UMR 8145, Université Paris Descartes, Sorbonne Paris Cité, France
ESAIM. Proceedings, Tome 68 (2020), pp. 73-96.

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We present some recent developments for limit theorems in probability theory, illustrating the variety of this field of activity. The recent results we discuss range from Stein’s method, as well as for infinitely divisible distributions as applications of this method in stochastic geometry, to asymptotics for some discrete models. They deal with rates of convergence, functional convergences for correlated random walks and shape theorems for growth models.
DOI : 10.1051/proc/202068005

Benjamin Arras 1 ; Jean-Christophe Breton 2 ; Aurelia Deshayes 3 ; Olivier Durieu 4 ; Raphaël Lachièze-Rey 5

1 Univ. Lille, CNRS, UMR 8524 - Laboratoire Paul Painlevé, F-59000 Lille, France
2 Univ Rennes, CNRS, IRMAR-UMR 6625, F-35000 Rennes, France
3 Learning, Data & Robotics Lab - ESIEA, Paris, France and Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées-UMR 8050, UPEM, UPEC, CNRS, F-94010, Créteil, France
4 Institut Denis Poisson-UMR 7013, Université de Tours, Parc de Grandmont, 37200 Tours, France
5 MAP5-UMR 8145, Université Paris Descartes, Sorbonne Paris Cité, France 
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     author = {Benjamin Arras and Jean-Christophe Breton and Aurelia Deshayes and Olivier Durieu and Rapha\"el Lachi\`eze-Rey},
     title = {Some recent advances for limit theorems},
     journal = {ESAIM. Proceedings},
     pages = {73--96},
     publisher = {mathdoc},
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     doi = {10.1051/proc/202068005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202068005/}
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Benjamin Arras; Jean-Christophe Breton; Aurelia Deshayes; Olivier Durieu; Raphaël Lachièze-Rey. Some recent advances for limit theorems. ESAIM. Proceedings, Tome 68 (2020), pp. 73-96. doi : 10.1051/proc/202068005. http://geodesic.mathdoc.fr/articles/10.1051/proc/202068005/

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