In this oriented branching-and-fusion network, the empirical measure of rectangle sizes converges after polynomial rescaling to an explicit limiting distribution whose speed of convergence is also derived.
The survival of branching annihilating random walk
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Growing random planar network with oriented branching and fusion
In this oriented branching-and-fusion network, the empirical measure of rectangle sizes converges after polynomial rescaling to an explicit limiting distribution whose speed of convergence is also derived.