NOW TO POSSIBLY TORTURE myself… What lay between Markov chains and percolation theory which would allow transformation …

NOW TO POSSIBLY TORTURE myself…
What lay between Markov chains and percolation theory which would allow transformation …–
So this one ? Last Passage Percolation model?
ok, will look it over.
 
“In the Last Passage Percolation model, X is the set of all directed paths joining (1, 1) with a point (a, b), and the value of H on path x is the sum of w(i,j) along the path x. The Gibbs ensemble in this case is known under the name of a “Directed Polymer in Random Media”. The study of such objects with various path sets and various choices of noise (i.e. w(i,j)) is a very rich subject
 
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