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DCフィールド | 値 | 言語 |
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dc.contributor.author | Katori, Makoto | en |
dc.contributor.alternative | 香取, 眞理 | ja |
dc.date.accessioned | 2023-05-31T05:59:27Z | - |
dc.date.available | 2023-05-31T05:59:27Z | - |
dc.date.issued | 2022-12 | - |
dc.identifier.uri | http://hdl.handle.net/2433/282931 | - |
dc.description.abstract | The Ginibre point process is given by the eigenvalue distribution of a non-hermitian complex Gaussian matrix in the infinite matrix-size limit. This is a determinantal point process (DPP) on the complex plane ℂ in the sense that all correlation functions are given by determinants specified by an integral kernel called the correlation kernel. Shirai introduced the one-parameter (m ∈ ℕ₀) extensions of the Ginibre DPP and called them the Ginibre-type point processes. In the present paper we consider a generalization of the Ginibre and the Ginibre-type point processes on ℂ to the DPPs in the higher-dimensional spaces, ℂ[D], D = 2, 3, ... , in which they are parameterized by a multivariate level m ∈ ℕ₀[D]. We call the obtained point processes the extended Heisenberg family of DPPs, since the correlation kernels are generally identified with the correlations of two points in the space of Heisenberg group expressed by the Schrodinger representations. We prove that all DPPs in this large family are in Class I of hyperuniformity. | en |
dc.language.iso | eng | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.publisher.alternative | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.subject | Hyperuniformity | en |
dc.subject | Ginibre and Ginibre-type point processes | en |
dc.subject | Determinantal point processes | en |
dc.subject | Extended Heisenberg family of DPPs | en |
dc.subject | Schrodinger representations of Heisenberg group | en |
dc.subject.ndc | 410 | - |
dc.title | Hyperuniformity of the determinantal point processes associated with the Heisenberg group (Mathematical aspects of quantum fields and related topics) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2235 | - |
dc.identifier.spage | 12 | - |
dc.identifier.epage | 29 | - |
dc.textversion | publisher | - |
dc.sortkey | 02 | - |
dc.address | Department of Physics, Faculty of Science and Engineering, Chuo University | en |
dc.address.alternative | 中央大学 | ja |
dcterms.accessRights | open access | - |
datacite.awardNumber | 19K03674 | - |
datacite.awardNumber | 18H01124 | - |
datacite.awardNumber | 16H06338 | - |
datacite.awardNumber | 21H04432 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K03674/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18H01124/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H06338/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H04432/ | - |
dc.identifier.pissn | 1880-2818 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
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.funderName | 日本学術振興会 | ja |
jpcoar.awardTitle | フェルミオン点過程と共形不変SLE曲線による確率場の総合的理論の構築 | ja |
jpcoar.awardTitle | 行列式点過程の視点によるランダム現象の解析とその応用 | ja |
jpcoar.awardTitle | 無限粒子系の確率解析学 | ja |
jpcoar.awardTitle | 無限粒子系の確率解析学の発展、深化、新展開 | ja |
出現コレクション: | 2235 量子場の数理とその周辺 |
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