Rigid representations of the multiplicative coalescent with linear deletion
نویسندگان
چکیده
منابع مشابه
Feller property of the multiplicative coalescent with linear deletion
We modify the definition of Aldous’ multiplicative coalescent process [3] and introduce the multiplicative coalescent with linear deletion (MCLD). A state of this process is a square-summable decreasing sequence of cluster sizes. Pairs of clusters merge with a rate equal to the product of their sizes and clusters are deleted with a rate linearly proportional to their size. We prove that the MCL...
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The multiplicative coalescent X(t) is a l-valued Markov process representing coalescence of clusters of mass, where each pair of clusters merges at rate proportional to product of masses. From random graph asymptotics it is known (Aldous (1997)) that there exists a standard version of this process starting with infinitesimally small clusters at time −∞. In this paper, stochastic calculus techni...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2017
ISSN: 1083-6489
DOI: 10.1214/17-ejp100