| Tartalom: |
http://real.mtak.hu/73333/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
Homogeneous multifractal measures with disjoint
spectrum and monohĂślder monotone functions
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| Létrehozó: |
Buczolich, ZoltĂĄn
Seuret, StĂŠphane
|
| Kiadó: |
Real Analysis Exchange
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| Dátum: |
2015
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| Téma: |
QA74 Analysis / analĂzis
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| Tartalmi leírás: |
We proved in an earlier paper that the support of the multifractal spectrum of a homogeneously multifractal (HM) measure within [0,1]
must be an interval. In this paper we construct a homogeneously multifractal measure with spectrum supported by [0,1]⪠(2). This shows
that there can be a different behaviour for exponents exceeding one.
We also provide details of the construction of a strictly monotone in-creasing monohĹlder (and hence HM) function which has exact HĂślder exponent one at each point. This function was also used in our paper about measures and functions with prescribed homogeneous multifractal
spectrum.
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| Nyelv: |
angol
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| Típus: |
Article
PeerReviewed
info:eu-repo/semantics/article
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| Formátum: |
text
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| Azonosító: |
Buczolich, ZoltĂĄn and Seuret, StĂŠphane (2015) Homogeneous multifractal measures with disjoint spectrum and monohĂślder monotone functions. Real Analysis Exchange, 40. pp. 277-289. ISSN 0147-1937
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| Kapcsolat: |
https://projecteuclid.org/euclid.rae/1491271217
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