| THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THE WESTWATER PROCESS |
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| 引用本文： | THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THEWESTWATER PROCESS. THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THE WESTWATER PROCESS[J]. 数学年刊B辑(英文版), 1996, 17(3): 375-388 |
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| 作者姓名： | THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THEWESTWATER PROCESS |
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| 作者单位： | Depatment of Mathematics，Beijing Normal University Beijing 100875，China |
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| 摘 要： | 91.IntroductionTheso-calledWestwaterprocessisthecoordinateprocessunderthepolymermeasureu(g)in3-dimensionsconstructedbyWestwater(see[7,8]),andthepolymermeasurev(g)onCo([O,1]-R')isformallydefinedbywhereC,isthenormalization,gE[o,oo)isacouplingconstant,pistheWienermeasureonCo([o,11-R').Inarecentpaper(see[9]),weprovedthattheHausdorffdimensionofthesamplepathoftheWestwaterprocess{X,,t6[O,1]}isalsotwowithprobability1tou(g).Actually,weprovedin[9]thatgh(ImX)5C,y(g)-a.e.(1.1)m(ImX)5C,y(g)-a.e.(1.…
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| 关 键 词： | HAUSDORFF测量 Wiener过程 Westwater过程 逗留时间 |
| 收稿时间： | 1993-03-05 |
THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THEWESTWATER PROCESS |
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| THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THEWESTWATER PROCESS. THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THEWESTWATER PROCESS[J]. Chinese Annals of Mathematics,Series B, 1996, 17(3): 375-388 |
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| Authors: | THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THEWESTWATER PROCESS |
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| Affiliation: | DepartmentofMathematics,BeijingNormalUniversity,Beijing100875,China. |
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| Abstract: | It is proved that $phi(s)=s^2log|log s|$ is thecorrect function to give the Hausdorff measure of a sample path of theWestwater process. |
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| Keywords: | Hausdorff measure Wiener process Westwater process Sojourn time |
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