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- Title
Multifractal Measures Characterized by the Iterative Map with Two Control Parameters.
- Authors
Kim, Kyungsik; Kim, G. H.; Kong, Y. S.
- Abstract
A one-dimensional iterative map with two control parameters — the Kim-Kong map — is proposed. Our purpose is to investigate the characteristic properties of this map, and to discuss numerically the multifractal behavior of the normalized first passage time. Based especially on the Monte Carlo simulation, the normalized first passage time to arrive at the absorbing barrier after starting from an arbitrary site is mainly obtained in the presence of both absorption and reflection on a two-dimensional Sierpinski gasket. We also discuss the multifractal spectra of the normalized first passage time, and the numerical result of the Kim-Kong model presented will be compared with that of the Sinai and logistic models.
- Subjects
FRACTALS; ITERATIVE methods (Mathematics); MONTE Carlo method
- Publication
Fractals, 2000, Vol 8, Issue 2, p181
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X00000196