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Hausdorff dimension...
Hausdorff dimension of random limsup sets
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- Ekström, Fredrik (författare)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Persson, Tomas (författare)
- Lund University,Lunds universitet,Dynamiska system,Forskargrupper vid Lunds universitet,Dynamical systems,Lund University Research Groups
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(creator_code:org_t)
- 2018-07-20
- 2018
- Engelska.
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Ingår i: Journal of the London Mathematical Society. - : Wiley. - 0024-6107. ; 98:3, s. 661-686
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Abstract
Ämnesord
Stäng
- We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence of balls in Rd whose centres are independent, identically distributed random variables. The formulas obtained involve the rate of decrease of the radii of the balls and multifractal properties of the measure according to which the balls are distributed, and generalise formulas that are known to hold for particular classes of measures.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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