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- W1972590410 abstract "Bootstrap percolation is a cellular automaton modelling the spread of an `infection' on a graph. In this note, we prove a family lower bounds on the critical probability for r-neighbour bootstrap percolation on Galton-Watson trees in terms of moments of the offspring distributions. With this result we confirm a conjecture of Bollobás, Gunderson, Holmgren, Janson and Przykucki. We also show that these bounds are best possible up to positive constants not depending on the offspring distribution." @default.
- W1972590410 created "2016-06-24" @default.
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- W1972590410 date "2014-01-01" @default.
- W1972590410 modified "2023-09-23" @default.
- W1972590410 title "Lower bounds for bootstrap percolation on Galton-Watson trees" @default.
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- W1972590410 doi "https://doi.org/10.1214/ecp.v19-3315" @default.
- W1972590410 hasPublicationYear "2014" @default.
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