The martingale properties in statistically recursive sets (Q2719630)
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scientific article; zbMATH DE number 1609830
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The martingale properties in statistically recursive sets |
scientific article; zbMATH DE number 1609830 |
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25 June 2001
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statistically recursive set
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statistically contraction operator
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statistically similar contraction operator
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martingale
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The martingale properties in statistically recursive sets (English)
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The martingale properties in statistically recursive sets are studied. Consider the Lipschitz coefficients of the statistical contraction operators which generate the statistically recurrence sets. The stochastic process constructed by the sums of such coefficients is a martingale. Using this we may investigate the dimension and measure of the statistically recursive sets. This also extends results of Graf and Mauldin.
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