The strong Malthusian behavior of growth-fragmentation processes
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Publication:2211502
DOI10.5802/ahl.46zbMath1451.35229arXiv1901.07251OpenAlexW3021847099MaRDI QIDQ2211502
Alexander R. Watson, Jean Bertoin
Publication date: 11 November 2020
Published in: Annales Henri Lebesgue (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.07251
One-parameter semigroups and linear evolution equations (47D06) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ergodic theorems, spectral theory, Markov operators (37A30) Cell biology (92C37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Martingales and classical analysis (60G46)
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Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation ⋮ Strong laws of large numbers for a growth-fragmentation process with bounded cell sizes ⋮ Practical criteria for \(R\)-positive recurrence of unbounded semigroups ⋮ Transcritical bifurcation for the conditional distribution of a diffusion process ⋮ A growth-fragmentation-isolation process on random recursive trees and contact tracing ⋮ On the stability of positive semigroups ⋮ Exponential quasi-ergodicity for processes with discontinuous trajectories ⋮ Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem ⋮ General self-similarity properties for Markov processes and exponential functionals of Lévy processes ⋮ A Nonexpanding Transport Distance for Some Structured Equations
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