Recherche

Research topics

Probability theory, limit theorems
Stochastic geometry, point processes, random tessellations, random graphs
Extreme value theory, extremal index, max-stable processes
Topological data analysis, Čech and Vietoris-Rips complexes
Uniformly distributed sequences modulo 1, discrepancy

Publications

Peer-reviewed journals

1. IDLA with sources in a hyperplane of Zd (with D. Coupier, K. Penner and A. Rousselle), Electronic Journal of Probability, 2025.[PDF]
2. Compound Poisson process approximation under β-mixing and stabilization (with M. Otto), Annals of Applied Probability, 2025.[PDF]
3. Poisson approximation and D(un) condition for extremes of transient random walks in random sceneries (with A. Darwiche), Statistics and Probability Letters, 2025. [PDF]
4. Compound Poisson approximation for simple transient random walks in random sceneries (with A. Darwiche and A. Rousselle), ALEA, 2024. [PDF]
5. The bi-dimensional directed IDLA forest (with D. Coupier and A. Rousselle), Annals of Applied Probability, 2023. [PDF]
6. Limit laws for large kth-nearest neighbor balls (with N. Henze and M. Otto), Journal of Applied Probability, 2022. [PDF]
7. Extremal lifetimes of persistent loops and holes (with C. Hirsch), Extremes, 2022. [PDF]
8. Testing goodness of fit for point processes via topological data analysis, (with C. Biscio, A. C. Hirsch and A. M. Svane), Electronic Journal of Statistics, 2020. [PDF]
9. The maximal degree in a Poisson-Delaunay graph (with G. Bonnet), Bernoulli, 2020. [PDF]
10. Extremes for transient random walks in random sceneries under weak independence conditions (with A. Darwiche), Statistics and Probability Letters, 2020. [PDF]
11. The largest order statistics for the inradius in an isotropic STIT tessellation (with W. Nagel), Extremes, 2019. [PDF]
12. Cluster size distributions of extreme values for the Poisson-Voronoi tessellation (with C. Y. Robert), Annals of Applied Probability, 2018. [PDF]
13. Products of random variables and the first digit phenomenon (with B. Massé and D. Schneider), Stochastic Processes and their Applications, , 2018. [PDF]
14. Stretch factor in a planar Poisson-Delaunay triangulation with a large intensity (with O. Devillers), Advances in Applied Probability, 2018. [PDF]
15. On the discrepancy of powers of random variables (with D. Schneider), Statistics and Probability Letters, 2018. [PDF]
16. Extremes for the inradius in the Poisson line tessellation (with R. Hemsley), Advances in Applied Probability, 2016. [PDF]
17. A general study of extremes of stationary tessellations with applications, Stochastic Processes and their Applications, 2014. [PDF]
18. Extreme values for characteristic radii of a Poisson-Voronoi Tessellation (with P. Calka), Extremes, 2014. [PDF]

Proceedings

1. The extremal index for a random tessellation, Geometric Science of Information, LNCS, Springer, 9389, p. 171-178, 2015.[PDF]

PhD thesis and habilitation

1. Extrêmes, géométrie aléatoire, analyse topologique des données et modèle IDLA. N. Chenavier, habilitation defended on December 8, 2022 at Université du Littoral Côte d'Opale. [PDF]
2. Valeurs extrêmes de mosaïques aléatoires. N. Chenavier, PhD thesis defended on December 11, 2013 à Université de Rouen, under the supervision of Pierre Calka. [PDF]

Submitted papers

1. Central limit theorems for squared increment sums of fractional Brownian fields based on a Delaunay triangulation in 2D (with C. Y. Robert), 2025.[PDF]
2. Limit theorems for squared increment sums of the maximum of two isotropic fractional Brownian fields over a fixed-domain (with C. Y. Robert), 2025.[PDF]
3. Asymptotic properties of maximum composite likelihood estimators for max-stable Brown-Resnick random fields over a fixed-domain (with C. Y. Robert), 2025.[PDF]
4. IDLA with sources in a hyperplane of Zd (with D. Coupier, K. Penner et A. Rousselle), 2024.[PDF]

Talks

Conferences

Oct. 2025 - Random Geometry, Graphs and Extremes, Dubrovnik (Croatia)
Feb. 2025 - M2A25 conference, contributed talk, Marrakech (Morocco)
Dec. 2024 - IMS conference ICSDS 2024, Nice (France)
Oct. 2024 - Workshop on Random Geometric Systems, Bochum (Germany)
Jun. 2023 - Stochastic Geometry Days, Dijon (France)
Jun. 2023 - Extreme Value Analysis, Milan (Italy)
Nov. 2021 - Regular Variation and Related Themes, Dubrovnik (Croatia)
Aug. 2021 - Journées M.A.S. (Modélisation Aléatoire et Statistique), Online (session "Probabilities and Algorithms")
Mar. 2021 - Set Estimation Conference, Online
Sep. 2019 - Stochastic Geometry Conference, Saint-Petersburg (Russia)
Jun. 2019 - Extreme Value Analysis, Zagreb (Croatia)
Jun. 2018 - 40th Conference on Stochastic Processes and their Applications - SPA 2018, Gothenburg (Sweden)
May 2018 - 12th French-Danish Workshop on Spatial Statistics and Image Analysis in Biology, Aalborg (Denmark)
Jun. 2017 - Extreme Value Analysis, Delft (Netherlands)
May 2017 - Workshop on Stochastic Geometry, Stereology and Image Analysis, CIRM (France)
Oct. 2015 - Geometric Science of Information, Saclay (France)
Aug. 2015 - Stochastic Geometry Days, Poitiers (France)
Jun. 2015 - Extreme Value Analysis, Ann Arbor (USA)
Mar. 2015 - Workshop on Stochastic Geometry, Stereology and Image Analysis, Lingen (Germany)
Jun. 2013 - Journées de probabilités, Orléans (France)
Aug. 2012 - Journées M.A.S. (Modélisation Aléatoire et Statistique), Clermont-Ferrand (France)
Apr. 2012 - Colloque des Jeunes Probabilistes et Statisticiens (JPS)

Invited Talks & International Visits

Mar. 2024 - Statistics and Data Science Workshop, Sfax (Tunisia)
Oct. 2023 - Probability and Discrete Mathematics Seminar, Groningen (Netherlands, online)
Nov. 2019 - Stochastic Geometry Seminar, Karlsruhe (Germany)
Jan. 2019 - One-week research visit with C. Biscio, C. Hirsch, and A.M. Svane, Aalborg (Denmark)
Apr. 2018 - One-week research visit with C. Biscio and C. Hirsch, Aalborg (Denmark)
Feb. 2018 - One-week research visit with W. Nagel, Jena (Germany)
Feb. 2017 - Stochastic Geometry Seminar, Bochum (Germany)
Feb. 2017 - One-week research visit with W. Nagel, Jena (Germany)
Jun. 2016 - Probability Seminar, Osnabrück (Germany)
Apr. 2016 - Stochastic and Applied Topology Seminar, Haifa (Israel)
May 2015 - Probability Seminar, Osnabrück (Germany)
Nov. 2013 - Random Geometry Working Group, Karlsruhe (Germany)

Participation in Scientific Projects

2024–2026 - Member of the RT MAIAGES.
2012–2023 - Member of the GDR, then RT, GeoSto.
2018–2022 - Member of the ANR ASPAG.
2019 - Principal investigator of an Exploratory First Support Project (PEPS) for young researchers.
2012–2016 - Member of the ANR PRESAGE.

Student Supervision

Master's students

2023 – Louise Bayart: some properties of the canonical tessellation of a max-stable field.
2022 – Paul Rax: logarithmic fluctuations for the IDLA model (co-supervised with David Coupier and Arnaud Rousselle).
2016–2017 – Killian Even-Baptiste: IDLA model for a Poisson-Voronoi tessellation (co-supervised with David Coupier and Arnaud Rousselle).

PhD students

Funded PhD Opportunity (Co-supervised with Dr. Davide Giraudo). The project focuses on Central Limit Theorems and Poisson approximations for marked point processes. The PhD will start on September 1, 2026 at ULCO. View PhD project details.

2022–2025 – Keenan Penner: IDLA forest (PhD co-supervised with David Coupier and Arnaud Rousselle).
2017–2020 – Ahmad Darwiche: new results on extremes generated by dynamical systems (co-supervised with Dominique Schneider).