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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B61-05.pdf | 5.42 MB | Adobe PDF | 見る/開く |
| タイトル: | Toward the exact WKB analysis of discrete Painlevé equations (Microlocal Analysis and Singular Perturbation Theory) |
| 著者: | Joshi, Nalini Takei, Yoshitsugu |
| 著者名の別形: | タケイ, ヨシツグ |
| キーワード: | 34M60 34E20 34M55 33E17 34K25 34K26 39K45 37J15 34M40 exact WKB analysis discrete Painlevé equation transseries solution invariant Hamiltonian Stokes phenomenon connection formula Stokes geometry |
| 発行日: | Jan-2017 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B61 |
| 開始ページ: | 83 |
| 終了ページ: | 96 |
| 抄録: | In this note we report our recent research project on the exact WKB analysis of additive discrete Painlevé equations associated with continuous Painlevé equations through Bäcklund transformations. To exemplify the effectiveness and usefulness of our approach, we consider two problems; (approximate) invariants and the Stokes phenomena of discrete Painlevé equations. Here we only make an announcement of the results and outline our approach to these problems. Details will be discussed in our forthcoming papers. |
| 記述: | "Microlocal Analysis and Singular Perturbation Theory". October 5～9, 2015. edited by Yoshitsugu Takei, Takashi Aoki, Naofitmi Honda, Kiyoomi Kataoka and Tatsuya Koike. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243627 |
| 出現コレクション: | B61 Microlocal Analysis and Singular Perturbation Theory |
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