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• W3206499172 abstract "We study atypical behavior in bootstrap percolation on the Erdős-Rényi random graph. Initially a set S is infected. Other vertices are infected once at least r of their neighbors become infected. Janson et al. (Ann Appl Probab 22(5):1989-2047, 2012) locates the critical size of S, above which it is likely that the infection will spread almost everywhere. Below this threshold, a central limit theorem is proved for the size of the eventually infected set. In this work, we calculate the rate function for the event that a small set S eventually infects an unexpected number of vertices, and identify the least-cost trajectory realizing such a large deviation." @default.
• W3206499172 created "2021-10-25" @default.
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• W3206499172 creator A5067501882 @default.
• W3206499172 date "2021-10-14" @default.
• W3206499172 modified "2023-09-27" @default.
• W3206499172 title "Large Deviations for Subcritical Bootstrap Percolation on the Erdős–Rényi Graph" @default.
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• W3206499172 doi "https://doi.org/10.1007/s10955-021-02819-w" @default.
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