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Examples of non-polygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models
Examples of non-polygonal infinite coexistence spatial growth models
2010/12/6
We construct an edge-weight distribution for i.i.d. first-passage percolation on Z2 whose limit shape is not a polygon and has extreme points which are arbitrarily dense in the boundary. Consequently,...