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Emergence of strongly connected components in continuum disk-spin percolation

FCF. CaravelliMBM. BardosciaFC Journal of Statistical Mechanics: Theory and Experiment

Emergence of strongly connected components in continuum disk-spin percolation

Single realization of random positions and orientations of 100 disks with an external field pointing in the direction of the red arrow.

Subcritical U-Bootstrap percolation models have non-trivial phase transitions

BBB. BollobasMPM. PrzykuckiPSP. SmithPB Transactions of the American Mathematical Society

Subcritical U-Bootstrap percolation models have non-trivial phase transitions

Our results re-open the study of critical probabilities in bootstrap percolation on infinite lattices.

Maximum percolation time in two-dimensional bootstrap percolation

MPM. PrzykuckiFB SIAM Journal on Discrete Mathematics

Maximum percolation time in two-dimensional bootstrap percolation

What is the maximum percolation time in a two-dimensional grid?

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4 Electronic Journal of Probability

Bootstrap percolation on Galton–Watson trees

In bootstrap percolation, a node is infected when a sufficient number of neighbours are infected.