ダウンロード数: 26
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 | |
---|---|---|---|---|
s00440-021-01078-w.pdf | 422.42 kB | Adobe PDF | 見る/開く |
完全メタデータレコード
DCフィールド | 値 | 言語 |
---|---|---|
dc.contributor.author | Barlow, M. T. | en |
dc.contributor.author | Croydon, D. A. | en |
dc.contributor.author | Kumagai, T. | en |
dc.contributor.alternative | 熊谷, 隆 | ja |
dc.date.accessioned | 2022-02-26T05:26:15Z | - |
dc.date.available | 2022-02-26T05:26:15Z | - |
dc.date.issued | 2021-11 | - |
dc.identifier.uri | http://hdl.handle.net/2433/268050 | - |
dc.description.abstract | This article investigates the heat kernel of the two-dimensional uniform spanning tree. We improve previous work by demonstrating the occurrence of log-logarithmic fluctuations around the leading order polynomial behaviour for the on-diagonal part of the quenched heat kernel. In addition we give two-sided estimates for the averaged heat kernel, and we show that the exponents that appear in the off-diagonal parts of the quenched and averaged versions of the heat kernel differ. Finally, we derive various scaling limits for the heat kernel, the implications of which include enabling us to sharpen the known asymptotics regarding the on-diagonal part of the averaged heat kernel and the expected distance travelled by the associated simple random walk. | en |
dc.language.iso | eng | - |
dc.publisher | Springer Nature | en |
dc.rights | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00440-021-01078-w | en |
dc.rights | The full-text file will be made open to the public on 04 August 2022 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. | en |
dc.rights | This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 | en |
dc.subject | Uniform spanning tree | en |
dc.subject | Random walk | en |
dc.subject | Heat kernel | en |
dc.title | Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Probability Theory and Related Fields | en |
dc.identifier.volume | 181 | - |
dc.identifier.issue | 1-3 | - |
dc.identifier.spage | 57 | - |
dc.identifier.epage | 111 | - |
dc.relation.doi | 10.1007/s00440-021-01078-w | - |
dc.textversion | author | - |
dcterms.accessRights | open access | - |
datacite.date.available | 2022-08-04 | - |
datacite.awardNumber | 18H05832 | - |
datacite.awardNumber | 19K03540 | - |
datacite.awardNumber | 17H01093 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18H05832/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K03540/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H01093/ | - |
dc.identifier.pissn | 0178-8051 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.awardTitle | Random walks on random graphs in critical regimes | en |
jpcoar.awardTitle | Stochastic processes associated with resistance forms | en |
jpcoar.awardTitle | 複雑な系の上の異常拡散現象の解析 | ja |
出現コレクション: | 学術雑誌掲載論文等 |
![](/dspace/image/articlelinker.gif)
このリポジトリに保管されているアイテムはすべて著作権により保護されています。