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Sharp Transition in Self-avoiding Walk on Random Conductors on a Tree by Chino, Yuki is a scholarly article available to read on EtoBox.

What is Sharp Transition in Self-avoiding Walk on Random Conductors on a Tree about?

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.

Author

Chino, Yuki

Published

2016

Language

EN