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We consider a directed random walk on the backbone of the supercritical oriented percolation cluster in dimensions $d+1$ with $d \ge 3$ being the spatial dimension. For this random walk we prove an annealed local central limit theorem and a quenched
Externí odkaz:
http://arxiv.org/abs/2105.09030
We consider a directed random walk on the backbone of the infinite cluster generated by supercritical oriented percolation, or equivalently the space-time embedding of the ``ancestral lineage'' of an individual in the stationary discrete-time contact
Externí odkaz:
http://arxiv.org/abs/1204.2951
We consider a directed random walk on the backbone of the supercritical oriented percolation cluster in dimensions $d+1$ with $d \ge 3$ being the spatial dimension. For this random walk we prove an annealed local central limit theorem and a quenched
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c087ce0529538cfb6f209a902ee60265
http://arxiv.org/abs/2105.09030
http://arxiv.org/abs/2105.09030
Publikováno v:
Electron. J. Probab.
We consider a directed random walk on the backbone of the infinite cluster generated by supercritical oriented percolation, or equivalently the space-time embedding of the ``ancestral lineage'' of an individual in the stationary discrete-time contact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d39fc322f02a8998c033c11145fc9ab
https://mediatum.ub.tum.de/1662267
https://mediatum.ub.tum.de/1662267