Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter
Название: A Note on Mean-Field Behavior for Self-Avoiding Walk on Branching Planes
Автор: Wu C.C.
We consider the critical behavior of the susceptibility of the self-avoiding walk on the graph T x Z, where T is a Bethe lattice with degree k and Z is the one dimensional lattice. By directly estimating the two-point function using a method of Grimmett and Newman, we show that the bubble condition is satisfied when k>2, and therefore the critical exponent associated with the susceptibility equals 1.