Limit theorems: some recent results
The article presents a series of recent results in the field of limit theorems which allow to appreciate the richness of this theme. These results include: the study of the asymptotic behaviour of cumulative processes with applications to Hawkes processes; maximal inequalities and functional central limit theorems for U -statistics; scaling limits for network traffic models that reveal a scaling transition phenomenon; central limit theorems for weakly dependent stationary random fields.
Authors
- Olivier Durieu
- Lucas Reding (ORCID: https://orcid.org/0000-0001-5635-8026)
- Davide Giraudo (ORCID: https://orcid.org/0000-0002-6843-9218)
- Laetitia Colombani (ORCID: https://orcid.org/0000-0001-8952-3761)
- Vytautė Pilipauskaitė (ORCID: https://orcid.org/0009-0009-9215-5539)
Institutions
- Université de Tours (FR)
- University of Bern (CH)
- Université d'Orléans (FR)
- Centre National de la Recherche Scientifique (FR)
- Institut de Recherche Mathématique Avancée (FR)
- Laboratoire de Mathématiques et Physique Théorique (FR)
- Institut Denis Poisson (FR)
- Université Polytechnique Hauts-de-France (FR)
- Aalborg University (DK)
Publication Details
- Journal
- ESAIM Proceedings and Surveys
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1051/proc/202580026
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00