Percolation of arbitrary words on the close-packed graph of .
Almost all words are seen in critical site percolation on the triangular lattice.
Random spatial growth with paralyzing obstacles
We study models of spatial growth processes where initially there are sources of growth (indicated by the colour green) and sources of a growth-stopping (paralyzing) substance (indicated by red). The green sources expand and may merge with others (there is no ‘inter-green’ competition). The red substance remains passive as long as it is isolated. However, when a green cluster comes in touch with the red substance, it is immediately invaded by the latter, stops growing and starts to act as a red...
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