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- W4298113860 abstract "Starting with a percolation model in $Z^d$ in the subcritical regime, we consider a random walk described as follows: the probability of transition from $x$ to $y$ is proportional to some function $f$ of the size of the cluster of $y$. This function is supposed to be increasing, so that the random walk is attracted by bigger clusters. For $f(t)=e^{beta t}$ we prove that there is a phase transition in $beta$, i.e., the random walk is subdiffusive for large $beta$ and is diffusive for small $beta$." @default.
- W4298113860 created "2022-10-01" @default.
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- W4298113860 date "2005-07-04" @default.
- W4298113860 modified "2023-09-24" @default.
- W4298113860 title "Random walk attracted by percolation clusters" @default.
- W4298113860 doi "https://doi.org/10.48550/arxiv.math/0507054" @default.
- W4298113860 hasPublicationYear "2005" @default.
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