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Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line
http://hdl.handle.net/2237/00033226
http://hdl.handle.net/2237/00033226c92f0d5a-5061-4cee-adb4-35347b5e65f7
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2020-12-21 | |||||
タイトル | ||||||
タイトル | Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line | |||||
言語 | en | |||||
著者 |
Jaerisch, Johannes
× Jaerisch, Johannes× Sumi, Hiroki |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Multifractal formalism | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Conformal iterated function systems | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Fractal functions | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Local dimension spectrum | |||||
抄録 | ||||||
内容記述 | We extend the multifractal formalism for the local dimension spectrum of a Gibbs measure μ supported on the attractor Λ of a conformal iterated functions system on the real line. Namely, for α∈ℝ, we establish the multifractal formalism for the Hausdorff dimension of the set of x∈Λ for which the μ-measure of a ball of radius rn centred at x obeys a power law rn^α, for a sequence rn→0. This allows us to investigate the Hölder regularity of various fractal functions, such as distribution functions and conjugacy maps associated with conformal iterated function systems. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
内容記述 | ||||||
内容記述 | ファイル公開:2022-11-15 | |||||
言語 | ja | |||||
内容記述タイプ | Other | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Elsevier | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1016/j.jmaa.2020.124246 | |||||
ISSN(print) | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0022-247X | |||||
書誌情報 |
Journal of Mathematical Analysis and Applications 巻 491, 号 2, p. 124246, 発行日 2020-11-15 |
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著者版フラグ | ||||||
値 | author |