Linear Statistics of Determinantal Point Processes and Norm Representations
Abstract We study the asymptotic behavior of the fluctuations of smooth and rough linear statistics for determinantal point processes on the sphere and on the Euclidean space. The main tool is the generalization of some norm representation results for functions in Sobolev spaces and in the space of functions of bounded variation.
Authors
- Joaquim Ortega‐Cerdà (ORCID: https://orcid.org/0000-0002-6616-4257)
- Matteo Levi (ORCID: https://orcid.org/0000-0002-6242-1770)
- Jordi Marzo (ORCID: https://orcid.org/0000-0001-6013-3479)
Institutions
- Universitat Autònoma de Barcelona (ES)
- Centre de Recerca Matemàtica (ES)
- Universitat de Barcelona (ES)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2024-09-06
- DOI
- https://doi.org/10.1093/imrn/rnae182
- Citations
- 1
- Primary Topic
- Random Matrices and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.71