Publication: Homogenenous Multitype Fragmentations
Homogenenous Multitype Fragmentations
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Bertoin, J. (2008). Homogenenous Multitype Fragmentations. In V. Sidoravicius & M. E. Vares (Eds.), In and Out of Equilibrium 2 (No. 60; Issue 60, pp. 161–183). Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8786-0_8
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A homogeneous mass-fragmentation, as it has been defined in [6], describes the evolution of the collection of masses of fragments of an object which breaks down into pieces as time passes. Here, we show that this model can be enriched by considering also the types of the fragments, where a type may represent, for instance, a geometrical shape, and can take finitely many values. In this setting, the dynamics of a randomly tagged fragment play a crucial role in the analysis of the fragmentation. They are determined by a Markov additive
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Bertoin, J. (2008). Homogenenous Multitype Fragmentations. In V. Sidoravicius & M. E. Vares (Eds.), In and Out of Equilibrium 2 (No. 60; Issue 60, pp. 161–183). Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8786-0_8