On Some Annihilating and Coalescing Systems

  title={On Some Annihilating and Coalescing Systems},
  author={Alexei Ermakov and B{\'a}lint T{\'o}th and Wendelin Werner},
  journal={Journal of Statistical Physics},
In the present paper we continue the investigation of the so-called coalescing ideal gas in one dimension, initiated by Ermakov. The model consists of point-like particles moving with velocities ±1 which coalesce and choose a fresh velocity with the same distribution when colliding. In the previous paper various identities in law were derived for the infinitely extended system. In the present paper we consider the scaling limit of the model in its various guises. The main result is the… 

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Convergence of Probability Measures

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