On an irregular dynamics of certain fragmentation semigroups
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It has been long known that the pure death processes with proliferation can display a chaotic dynamics. In this paper we analyse long time dynamics of fragmentation processes which can be thought of as a generalization of death processes. In particular we show that, if combined with a proliferative process, their dynamics also can become chaotic.
KeywordsFragmentation processes Death processes Long time behaviour Compact semigroups Analytic semigroups Chaotic semigroups
Mathematics Subject Classification (2000)47D06
The author thanks the anonymous referees whose careful reading of the manuscript contributed to a significant improvement of the final version.
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