Scaling limit for the ant in a simple high-dimensional labyrinth

Gérard Ben Arous,Manuel Cabezas,Alexander Fribergh

Probability Theory and Related Fields（2018）

引用 6|浏览40

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摘要

We prove that, after suitable rescaling, the simple random walk on the trace of a large critical branching random walk in ℤ^d converges to the Brownian motion on the integrated super-Brownian excursion when d>14 .

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关键词

Random 7walk,Random environments,Branching random walk,Super-process,Spatial tree

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