Predavatelj: Janko Gravner (UC Davis, ZDA)
Povzetek: In the polluted modified bootstrap percolation model on d-dimensional lattice, sites are independently initially occupied with probability p or closed with probability q. A site becomes occupied at a subsequent step if it is not closed and has at least one occupied nearest neighbor in each of the d coordinates. The main quantity of interest is final density of occupied sites when p and q are both small. This density is expected to change from high to low as q increases over a critical power of p, possibly with logarithmic corrections. In the two-dimensional case, these logarithmic corrections are indeed present in the modified rule, by contrast with the standard rule.
This is joint work with A. Holroyd, S. Lee, and D. Sivakoff.
