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I guess now I know how to prove generalized bunkbed conjecture when there are two vertical edges. This is the first nontrivial case since when there is only one vertical edge, the statement follows directly from FKG inequality about increasing events.

I will not uncover more details until I found a way to solve the general case (when there are more than two vertical edges), or I decide to give up on this conjecture and submit a junk paper.

Anyway, I feel quite happy since I am finally able to prove something, rather than giving counterexamples…

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March 14, 2010. Uncategorized.

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