Acta mathematica scientia,Series B ›› 1992, Vol. 12 ›› Issue (4): 408-417.

• Articles • Previous Articles     Next Articles

AN ASYMPTOTIC ESTIMATION OF THE MOMENTS FOR TWO-DIMENSIONAL POLYMER MEASURE

Zhou Xianyin   

  1. Dept. of Math., Beijing Norm, Univ., Beijing 100875, China
  • Received:1989-11-12 Online:1992-12-25 Published:1992-12-25
  • Supported by:
    This work is supported in part by the Foundation of National Natural Science of China.

Abstract: Let vT (g) be the polymer measure in two dimensions and {w (t)} its coordinate process. This paper presents the following estimations:For any given g>0 and α>0, there exist constants C1, C2 ∈ (0, ∞) such that
C2(inT)-αEvT(g)|ω(T)|αC1Tα,∀T ≥ 0

Trendmd