Asymptotic behavior of solutions of the fragmentation equation with shattering: an approach via self-similar Markov processes

DOI10.1214/09-AAP622zbMath1193.60054arXiv0811.4267MaRDI QIDQ968771

Bénédicte Haas

Publication date: 6 May 2010

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4267

zbMATH Keywords

fragmentation equationself-similar dynamicsLevy measure

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Signal detection and filtering (aspects of stochastic processes) (60G35) Special processes (60K99) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Random measures (60G57) Self-similar stochastic processes (60G18) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (8)

Time asymptotics for a critical case in fragmentation and growth-fragmentation equations ⋮ Self-similar solutions of fragmentation equations revisited ⋮ Stochastic coalescence multi-fragmentation processes ⋮ Tail asymptotics for extinction times of self-similar fragmentations ⋮ On the density of exponential functionals of Lévy processes ⋮ Branching processes for the fragmentation equation ⋮ Quasi-stationary distributions and Yaglom limits of self-similar Markov processes ⋮ Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts

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