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dc.contributor.author | Hiraoka, Yasuaki | en |
dc.contributor.author | Shirai, Tomoyuki | en |
dc.contributor.alternative | ヒラオカ, ヤスアキ | ja |
dc.contributor.alternative | シライ, トモユキ | ja |
dc.contributor.transcription | ヒラオカ, ヤスアキ | ja-Kana |
dc.contributor.transcription | シライ, トモユキ | ja-Kana |
dc.date.accessioned | 2019-08-26T00:29:44Z | - |
dc.date.available | 2019-08-26T00:29:44Z | - |
dc.date.issued | 2016-07 | - |
dc.identifier.issn | 1881-6193 | - |
dc.identifier.uri | http://hdl.handle.net/2433/243608 | - |
dc.description | "Stochastic Analysis on Large Scale Interacting Systems". October 26~29, 2015. edited by Ryoki Fukushima, Tadahisa Funaki, Yukio Nagahata, Makoto Nakashima, Hirofumi Osada and Yoshiki Otobe. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. | en |
dc.description.abstract | This paper studies Bernoulli cell complexes from the perspective of persistent homology, Tutte polynomials, and random-cluster models. Following the previous work [9], we first show the asymptotic order of the expected lifetime sum of the persistent homology for the Bernoulli cell complex process on the ℓ-cubical lattice. Then, an explicit formula of the expected lifetime sum using the Tutte polynomial is derived. Furthermore, we study a higher dimensional generalization of the random-cluster model derived from the Edwards-Sokal type coupling, and show some basic results such as the positive association and the relation to the Tutte polynomial. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.publisher.alternative | 京都大学数理解析研究所 | ja |
dc.rights | © 2016 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. | en |
dc.subject | 60C05 | en |
dc.subject | 05C80 | en |
dc.subject | 05E45 | en |
dc.subject | Bernoulli cell complex | en |
dc.subject | persistent homology | en |
dc.subject | Tutte polynomial | en |
dc.subject | random-cluster model | en |
dc.subject.ndc | 410 | - |
dc.title | Tutte polynomials and random-cluster models in Bernoulli cell complexes (Stochastic Analysis on Large Scale Interacting Systems) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AA12196120 | - |
dc.identifier.jtitle | 数理解析研究所講究録別冊 | ja |
dc.identifier.volume | B59 | - |
dc.identifier.spage | 289 | - |
dc.identifier.epage | 304 | - |
dc.textversion | publisher | - |
dc.sortkey | 21 | - |
dc.address | WPI-AIMR, Tohoku University | en |
dc.address | IMI, Kyushu University | en |
dcterms.accessRights | open access | - |
datacite.awardNumber | 26610025 | - |
datacite.awardNumber | 26287019 | - |
dc.identifier.pissn | 1881-6193 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku Bessatsu | en |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
出現コレクション: | B59 Stochastic Analysis on Large Scale Interacting Systems |
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