On a family of critical growth-fragmentation semigroups and refracted Lévy processes

DOI10.1007/s10440-019-00261-5zbMath1439.35487arXiv1812.07951OpenAlexW2904900113MaRDI QIDQ2307478

Benedetta Cavalli

Publication date: 24 March 2020

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07951

zbMATH Keywords

Lévy processesspectral analysistransport equationsFeynman-Kac formulapiecewise deterministic Markov processesrefracted Lévy processesgrowth-fragmentation equationMalthus exponentone parameter semigroupscell division equation

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) One-parameter semigroups and linear evolution equations (47D06) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Cell biology (92C37) Integro-differential operators (47G20) Markov processes (60J99) Transport equations (35Q49)

Related Items (5)

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 ⋮ The strong Malthusian behavior of growth-fragmentation processes ⋮ Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem ⋮ A probabilistic view on the long-time behaviour of growth-fragmentation semigroups with bounded fragmentation rates

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