Mathematics
a year ago

Critical branching random walk capacity converges to integrated super-Brownian excursion support.

The Annals of Applied Probability
Convergence in law for the capacity of the range of a critical branching random walk
Tianyi Bai, Yueyun Hu

Paper Summary

The article shows that for certain dimensions, the renormalized capacity of the range of a critical branching random walk converges to the capacity of a related random walk. This was proven by studying how these random walks intersect with each other.

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