The suprema of selector processes with the application to positive infinitely divisible processes
Abstract
We provide an alternative proof of the recent result of Park and Pham [Ann. of Math. 199 (2024)] on the expected suprema of positive selector and empirical processes, which we find useful in further generalizations we discuss. As an application, we obtain a result concerning positive infinitely divisible processes.
Fields of Study & Subjects
Advanced Thermodynamics and Statistical Mechanics
Stochastic processes and financial applications
Random Matrices and Applications
Publication details
- Journal / source
- Studia Mathematica
- Publication date
- 19 September 2026
- Language
- EN