211 citations
- Universidad Nacional Autónoma de MéxicoMX29 papers
- Secretaría de Ciencia, Humanidades, Tecnología e InnovaciónMX19 papers
- Centre National de la Recherche ScientifiqueFR18 papers
- Universidad de Los AndesCO7 papers
- Unité de Mathématiques Pures et AppliquéesFR6 papers
- University of BathGB6 papers
- University of HelsinkiFI6 papers
- École Normale Supérieure de LyonFR5 papers
- École PolytechniqueFR5 papers
- Hokkaido UniversityJP5 papers
- Kansai UniversityJP5 papers
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Showing 2025 · math.PRShow all
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math.PR2025
The strong law of large numbers and a functional central limit theorem for general Markov additive processes
Andreas E. Kyprianou, Victor Rivero
In this note we re-visit the fundamental question of the strong law of large numbers and central limit theorem for processes in continuous time with conditional stationary and inde…
math.PR2025
Finite Free Convolution: Infinitesimal Distributions
Octavio Arizmendi, Daniel Perales, Josue Vazquez-Becerra
Finite-free additive and multiplicative convolutions are operations on the set of polynomials with real roots, introduced independently by Szegö and Walsh in the 1920s. These opera…
math.PR2025
Free multiplicative convolution with an arbitrary measure on the real line
Octavio Arizmendi, Takahiro Hasebe, Yu Kitagawa
We develop analytic tools for studying the free multiplicative convolution of any measure on the real line and any measure on the nonnegative real line. More precisely, we construc…