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LIMSUP DEVIATIONS ON TREES 被引量:1
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作者 Fan Aihua 《Analysis in Theory and Applications》 2004年第2期113-148,共36页
The vertices of an infinite locally finite tree T are labelled by a collection of i.i.d.real random variables{Xo}ver which defines a tree indexed walk So=∑X,.We introduce and study the oscillations of the walk.
关键词 limsup deviation tree-indexed walk oscillation Havsdorff dimension Brownian motion PERCOLATION random covering indexed martingale Peyriere measure.
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Moduli of Continuity of a Class of N-parameter Gaussian Processes and Their Fast Points
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作者 Zheng Yan LIN Zong Mao CHENG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第6期901-910,共10页
We study the moduli of continuity of a class of N-parameter Gaussian processes and get some results on'the packing dimension of the set of their fast points.
关键词 N-parameter Gaussian process modulus of continuity limsup random fractal packing dimension
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