| THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THE WESTWATER PROCESS |
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| 作者姓名： | THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THE WESTWATER 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(see7,8]),andthepolymermeasurev(g)onCo(O,1]-R')isformallydefinedbywhereC,isthenormalization,gEo,oo)isacouplingconstant,pistheWienermeasureonCo(o,11-R').Inarecentpaper(see9]),weprovedthattheHausdorffdimensionofthesamplepathoftheWestwaterprocess{X,,t6O,1]}isalsotwowithprobability1tou(g).Actually,weprovedin9]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： | 3/5/1993 12:00:00 AM |
THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THE
WESTWATER PROCESS |
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| THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THE
WESTWATER PROCESS.THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THE WESTWATER 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 THE
WESTWATER PROCESS |
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| Institution: | DepartmentofMathematics,BeijingNormalUniversity,Beijing100875,China. |
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| Abstract: | It is proved that $\phi(s)=s^2\log|\log s|$ is the
correct function to give the Hausdorff measure of a sample path of the
Westwater process. |
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| Keywords: | Hausdorff measure Wiener process Westwater process Sojourn time |
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