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Sharp transition in self-avoiding walk on random conductors on a tree

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 نشر من قبل Yuki Chino
 تاريخ النشر 2016
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 تأليف Yuki Chino




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We consider self-avoiding walk on a tree with random conductances. It is proven that in the weak disorder regime, the quenched critical point is equal to the annealed one, and that in the strong disorder regime, these critical points are strictly different. Derrida and Spohn, and Baffet, Patrick and Pul$acute{rm e}$ give the exact value of the quenched critical point. We give another heuristic approach by the fractional moment estimate.



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