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Bootstrap percolation and cellular automata with death
Probability| Speaker: | Ivailo Hartarsky, CEREMADE, Université Paris Dauphine, PSL |
| Location: | MSB 2112 / Zoom |
| Start time: | Tue, Oct 18 2022, 1:10PM |
We consider two classes of models. The first one is bootstrap percolation. The second one is attractive cellular automata with death. For instance, one may think of oriented percolation, i.e. the discrete time synchronous contact process. It turns out that these two classes are equivalent in a very strong sense, entailing interesting consequences in both directions. In particular, we will discuss results related to the non-triviality of their phase transition and the sharpness of this transition.
Based on https://arxiv.org/abs/2203.
16366 joint with R. Szabó and https://arxiv.org/abs/2112.01778