Fractal measure

Xem 1-5 trên 5 kết quả Fractal measure
  • Let µ be the probability measure induced by S = n=1 3 X1 , X2 , ... is a sequence of independent, identically distributed (i.i.d) random variables each taking values 0, 1, a with equal probability 1/3. Let α(s) (resp.α(s), α(s)) denote the local dimension (resp. lower, upper local dimension) of s ∈ supp µ, and let

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  • Let X be random variable taking values 0, 1, a with equal probability 1/3 and let X1 , X2 , ... be a sequence of independent identically distributed (i.i.d) random variables with the same distribution as X. Let µ be the probability measure induced by ∞ S = i=1 3−i Xi . Let α(s) (resp. α(s), α(s)) denote the local dimension (resp. lower, upper local dimension) of s ∈ supp µ. Put

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  • Let X1 , X2 , ... be a sequence of independent, identically distributed(i.i.d) random variables each taking values 0, 1, a with equal probability 1/3. Let µ be the ∞ −n probability measure induced by S = Xn . Let α(s) (resp.α(s), α(s)) denote n=1 3 the local dimension (resp. lower, upper local dimension) of s ∈ supp µ, and let α = sup{α(s) : s ∈ supp µ}; α = inf{α(s) : s ∈ supp µ}

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  • Since the statistical analysis of Ethernet local-area network (LAN) traces in Leland et al. [20], there has been signi®cant progress in developing appropriate mathematical and statistical techniques that provide a physical-based, networking-related understanding of the observed fractal-like or self-similar scaling behavior of measured data traf®c over time scales ranging from hundreds of milliseconds to seconds and beyond. These techniques explain, describe, and validate the reported large-time scaling...

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  • In reality, the reservoir rock space is a very complex metamerism; however when caculating according to the common way, in many cases, we consider the void structure in the rocks as similar fractal, and use suitable statistical approximate formula to demonstrate the space in form of effective homogene. When researching the layers, we take the rock samples from one layer with different collector parameter. To get a parameter value (grain density, porosity, permeability, saturation etc.

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