Strong laws of large numbers for a growth-fragmentation process with bounded cell sizes
Langue
en
Article de revue
Ce document a été publié dans
ALEA : Latin American Journal of Probability and Mathematical Statistics. 2022
Instituto Nacional de Matemática Pura e Aplicada (Rio de Janeiro, Brasil) [2006-....]
Date de soutenance
2022Résumé en anglais
Growth-fragmentation processes model systems of cells that grow continuously over time and then fragment into smaller pieces. Typically, on average, the number of cells in the system exhibits asynchronous exponential growth ...Lire la suite >
Mots clés en anglais
Growth-fragmentation
Law of large numbers
Asynchronous exponential growth
Cell division
Ergodic theorem
Spectral radius
Spectral gap
Intrinsic martingale
Spectrally negative Lévy process
Dividend process
Skeleton decomposition