On the Box Dimension of Typical Measures |
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| Authors: | Józef Myjak Ryszard Rudnicki |
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| Affiliation: | (1) Università di L’Aquila, L’Aquila, Italy, IT;(2) Polish Academy of Sciences, Katowice, Poland, PL |
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| Abstract: | Let be a complete metric space and let be the space of all probability Borel measures on X. We give some estimations of the upper and lower box dimensions of the typical (in the sense of Baire category) measure in . Received 29 November 2000; in final form 8 January 2002 |
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| Keywords: | 2000 Mathematics Subject Classification: 28A78 26A21 54E52 |
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