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Invariant measures for random piecewise convex maps
https://kitami-it.repo.nii.ac.jp/records/2000646
https://kitami-it.repo.nii.ac.jp/records/20006465b5425b9-0fd7-4fa5-a998-cf7608f074eb
| 名前 / ファイル | ライセンス | アクション |
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Invariant measures for random piecewise convex maps.pdf (329 KB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||||
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| 公開日 | 2024-09-06 | |||||||||
| タイトル | ||||||||||
| タイトル | Invariant measures for random piecewise convex maps | |||||||||
| 言語 | en | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| タイプ | journal article | |||||||||
| 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 | |||||||||
| 著者 |
Tomoki Inoue
× Tomoki Inoue
× Hisayoshi Toyokawa
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| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | We establish the existence of Lebesgue-equivalent conservative and ergodic σ-finite invariant measures for a wide class of one-dimensional random maps consisting of piecewise convex maps. We also estimate the size of invariant measures around a small neighborhood of a fixed point where the invariant density functions may diverge. Application covers random intermittent maps with critical points or flat points. We also illustrate that the size of invariant measures tends to infinite for random maps whose right branches exhibit a strongly contracting property on average, so that they have a strong recurrence to a fixed point. |
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| 言語 | en | |||||||||
| 書誌情報 |
en : Nonlinearity 巻 37, 号 5, 発行日 2024-04-03 |
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| 収録物識別子タイプ | EISSN | |||||||||
| 収録物識別子 | 1361-6544 | |||||||||
| DOI | ||||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | 10.1088/1361-6544/ad2ff9 | |||||||||
| 権利 | ||||||||||
| 言語 | en | |||||||||
| 権利情報 | Copyright(c)2024 IOP Publishing ‘This is the Accepted Manuscript version of an article accepted for publication in [Nonlinearity]. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at [https://www.doi.org/10.1088/1361-6544/ad2ff9].’ | |||||||||
| 出版者 | ||||||||||
| 出版者 | IOP Publishing | |||||||||
| 言語 | en | |||||||||
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| 言語 | en | |||||||||
| 値 | author | |||||||||
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| 出版タイプ | AM | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||
