The Entrance Boundary of the Multiplicative Coalescent

  title={The Entrance Boundary of the Multiplicative Coalescent},
  author={David Aldous and Vlada Limic},
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 techniques are used to describe all versions (X(t);−∞ < t <∞) of the multiplicative coalescent. Roughly, an… CONTINUE READING
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