There she is! POSET

FKG inequality

“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

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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:

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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), “

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