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k维布朗运动C-R型增量在Hlder范数下的泛函极限定理 被引量:1

Functional Limit Theorems for C-R Increments of k-Dimensional Brownian Motion in Hlder Norm
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摘要 本文在H lder范数生成的强拓扑下, 通过建立大偏差公式, 得到了k维布朗运动C-R型增量在H lder范数下的泛函极限定理. In this paper, based on large deviation formulas established in stronger topology generated by H lder norm, we obtain the functional limit theorems for C-R increments of k-dimensional Brownian motion in H lder norm.
作者 危启才
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2002年第1期117-126,共10页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(19671018) 浙江省自然科学基金资助项目
关键词 大偏差公式 泛函极限定理 k维布朗运动 C-R型增量 维纳过程 HOELDER范数 Large deviation formulas Functional limit theorems k-dimensional Brownian motion C-R increments H lder norm
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参考文献13

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