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- W2361068646 abstract "Let{X(t,ω) : t ∈ R N } be a stochastic process taking values inR d and with its paths continuous,with the condition: let 0α 1,M 0,β ≥ d be constants such thatE X(t)? X(s)β ≤ M t ? s αβ,t,s∈ RN,(β αN) or Eh ∈[s0,uT p]N X(t+ h) ? X(t)β ≤ MT αβ,t∈ RN,0 T ≤ 1.We obtain the best upper bounds of Hausdorff dimension of the images set,the graph sets and the level sets about X for the Borel sets.moreover,with the condition: leta,α,d ' 0 be constants such that 'P(X(t)? X(s) ≤ t ? sα x) ≤ a xd,t,s∈ RN,x ≥ 0.We obtain the best under bounds of Hausdorff dimension of the images set,the graph sets about X for the Borel sets." @default.
- W2361068646 created "2016-06-24" @default.
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- W2361068646 date "2006-01-01" @default.
- W2361068646 modified "2023-09-23" @default.
- W2361068646 title "The Sample Path Proterties of a Set Stochastic Oricess with Several Indexes" @default.
- W2361068646 hasPublicationYear "2006" @default.
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