Mean Curvature, Threshold Dynamics, and Phase Field Theory on Finite Graphs
نویسندگان
چکیده
منابع مشابه
Mean-field conditions for percolation on finite graphs
then the size of the largest component in p-bond-percolation with p = 1+O(n ) d−1 is roughly n. In Physics jargon, this condition implies that there exists a scaling window with a mean-field width of n around the critical probability pc = 1 d−1 . A consequence of our theorems is that if {Gn} is a transitive expander family with girth at least ( 2 3 + ǫ) logd−1 n then {Gn} has the above scaling ...
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ژورنال
عنوان ژورنال: Milan Journal of Mathematics
سال: 2014
ISSN: 1424-9286,1424-9294
DOI: 10.1007/s00032-014-0216-8