There she is! POSET
“Informally, it says that in many random systems, increasing events are positively correlated, while an increasing and a decreasing event are negatively correlated.”
The rich get richer as they get richer, while the separation between richer and poorer get wider basically But here it
The concepts of “Infimum and supremum” I understand and so if I see partial ordered set (poset), I look for them as another part I have a shot at digesting a little.
A scaling formula makes use of them which comes from this paper:
So this is from its referring paper and it appears to be used to provide a UNIFORM METRIC on CONTINUOUS CURVES.
So, pixelating cleverly.
” For Jordan domains, there is convergence in distribution of the percolation explora-tion path to the trace of chordalSLE6that islocally uniformin the shape of the bound-ary with respect to the uniform metric on continuous curves (2), “