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- W4225535287 abstract "Consider a $p$-random subset $A$ of initially infected vertices in the discrete cube $[L]^3$, and assume that the neighbourhood of each vertex consists of the $a_i$ nearest neighbours in the $pm e_i$-directions for each $i in {1,2,3}$, where $a_1le a_2le a_3$. Suppose we infect any healthy vertex $vin [L]^3$ already having $r$ infected neighbours, and that infected sites remain infected forever. In this paper we determine $log$ of the critical length for percolation up to a constant factor, for all $rin {a_3+1, dots, a_3+a_2}$ with $a_3ge a_1+a_2$. We moreover give upper bounds for all remaining cases $a_3 < a_1+a_2$ and believe that they are tight up to a constant factor." @default.
- W4225535287 created "2022-05-05" @default.
- W4225535287 creator A5021447357 @default.
- W4225535287 date "2022-01-27" @default.
- W4225535287 modified "2023-09-28" @default.
- W4225535287 title "Three-dimensional 2-critical bootstrap percolation: The stable sets approach" @default.
- W4225535287 doi "https://doi.org/10.48550/arxiv.2201.11365" @default.
- W4225535287 hasPublicationYear "2022" @default.
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