On convergence of box dimensions of fractal interpolation stochastic processes (Q2708145)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On convergence of box dimensions of fractal interpolation stochastic processes |
scientific article |
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5 July 2001
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fractal interpolation
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interpolation dimension
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box dimension
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stochastic process
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fractional Brownian motion
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self-similarity
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On convergence of box dimensions of fractal interpolation stochastic processes (English)
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The authors propose a fractal interpolation scheme with the following feature: If the data is generated by sample paths of a fractional Brownian motion then both the box dimension and the trajectories of the interpolating process converge to those of the fractional Brownian motion sample path almost surely.
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