On convergence of box dimensions of fractal interpolation stochastic processes

• Autorzy: Herburt I. , Małysz R.
• Języki publikacji: EN

Abstrakty

EN

We introduce fractal interpolation processes determined by n-dimensional random vectors. We examine convergence of their box dimensions and trajectories. We prove, in particular, that box dimensions and trajectories of fractal interpolations of a-fractional Brownian motion converge to those of the interpolated process.

Słowa kluczowe

EN

fractal interpolation; box dimension; stochastic process

PL

fraktal; procesy stochastyczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2000
• Tom: Vol. 33, nr 4
• Strony: 873--888
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Herburt I.

• Faculty of Mathematics and Information Science, Warsaw University of Technology, pl. Politechniki 1, 00-661 Warsaw, Poland

autor

Małysz R.

• Faculty of Mathematics and Information Science, Warsaw University of Technology, pl. Politechniki 1, 00-661 Warsaw, Poland

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