Examples of nonpolygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models
Work
Year: 2013
Type: article
Abstract: We construct an edge-weight distribution for i.i.d. first-passage percolation on $\mathbb{Z}^{2}$ whose limit shape is not a polygon and whose extreme points are arbitrarily dense in the boundary. Con... more
Authors Michael Damron, Michael Hochman
Institution Princeton University
Cites: 22
Cited by: 10
Related to: 10
FWCI: 0.876
Citation percentile (by year/subfield): 75.08
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Life on land
Open Access status: bronze