布朗运动在(r,p)-容度意义下的下极限性质 |
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引用本文: | 张立新. 布朗运动在(r,p)-容度意义下的下极限性质[J]. 数学学报, 1996, 39(4): 543-555 |
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作者姓名: | 张立新 |
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作者单位: | 杭州大学数学系 |
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摘 要: | 本文证明了布朗运动在(r,p)-容度意义下的一些基本下极限性质.
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关 键 词: | (r p)-容度 Strassen重对数律的速度 不可微模 小增量 |
收稿时间: | 1994-04-15 |
修稿时间: | 1995-10-26 |
Some Liminf Results for Brownian Motion in Terms of the (r,p)-Capacity |
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Affiliation: | Zhang Lixin (Department of Mathematics, Hangzhou University, Hangzhou 310028, China) |
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Abstract: | We prove some bascic liminf results for Brownian motion in terms of the (r,p)capacity. A refined Strassen's law of iterated logarithm, the small increments and the moduli ofnon-differentiability are studied. Some results are new even in the sense of "almost everywhere". |
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Keywords: | r,p)-capacity Strassen's law of iterated logarithm Small increments Moduli of non-differentiability. |
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