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math.PR2016★ 6 cited
Scaling limit for the ant in a simple labyrinth
Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh
We prove that, after suitable rescaling, the simple random walk on the trace of a large critical branching random walk converges to the Brownian motion on the integrated super-Brow…
math.PR2016
Scaling limit for the ant in high-dimensional labyrinths
Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh
We study here a detailed conjecture regarding one of the most important cases of anomalous diffusion, i.e the behavior of the "ant in the labyrinth". It is natural to conjecture (s…