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

数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (4): 408-417.

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

周先银

Dept. of Math., Beijing Norm, Univ., Beijing 100875, China

收稿日期:1989-11-12 出版日期:1992-12-25 发布日期:1992-12-25
基金资助:
This work is supported in part by the Foundation of National Natural Science of China.

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

Zhou Xianyin

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.

摘要/Abstract

摘要： Let v_T (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)^-α ≤ E_{v_T(g)}|ω(T)|^α ≤ C¹T^α,∀T ≥ 0

周先银. AN ASYMPTOTIC ESTIMATION OF THE MOMENTS FOR TWO-DIMENSIONAL POLYMER MEASURE[J]. 数学物理学报(英文版), 1992, 12(4): 408-417.

Zhou Xianyin. AN ASYMPTOTIC ESTIMATION OF THE MOMENTS FOR TWO-DIMENSIONAL POLYMER MEASURE[J]. Acta mathematica scientia,Series B, 1992, 12(4): 408-417.

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

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

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