Probability tilting of compensated fragmentations
نویسندگان
چکیده
منابع مشابه
Asymptotical behaviour of the presence probability in branching random walks and fragmentations February 1 , 2008
For a subcritical Galton-Watson process (ζn), it is well known that under an X logX condition, the quotient P (ζn > 0)/Eζn has a finite positive limit. There is an analogous result for a (one-dimensional) supercritical branching random walk: when a is in the socalled subcritical speed area, the probability of presence around na in the n-th generation is asymptotically proportional to the corres...
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We introduce a probabilistic model that is meant to describe an object that falls apart randomly as time passes and fulfills a certain scaling property. We show that the distribution of such a process is determined by its index of self-similarity , a rate of erosion c�0, and a so-called Lévy measure that accounts for sudden dislocations. The key of the analysis is provided by a transformation o...
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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,...
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15 صفحه اولDiscretization methods for homogeneous fragmentations
Homogeneous fragmentations describe the evolution of a unit mass that breaks down randomly into pieces as time passes. They can be thought of as continuous time analogs of a certain type of branching random walks, which suggests the use of time-discretization to shift known results from the theory of branching random walks to the fragmentation setting. In particular, this yields interesting inf...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2019
ISSN: 1083-6489
DOI: 10.1214/19-ejp316