The Brownian net

  title={The Brownian net},
  author={Rongfeng Sun and Jan M. Swart},
The (standard) Brownian web is a collection of coalescing one-dimensional Brownian motions, starting from each point in space and time. It arises as the diffusive scaling limit of a collection of coalescing random walks. We show that it is possible to obtain a nontrivial limiting object if the random walks in addition branch with a small probability. We call the limiting object the Brownian net, and study some of its elementary properties. MSC 2000. Primary: 82C21 ; Secondary: 60K35, 60F17… CONTINUE READING


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