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2089-04.pdf | 1.18 MB | Adobe PDF | 見る/開く |
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dc.contributor.author | Bozejko, Marek | en |
dc.contributor.author | Bozejko, Wojciech | en |
dc.date.accessioned | 2020-06-19T04:18:07Z | - |
dc.date.available | 2020-06-19T04:18:07Z | - |
dc.date.issued | 2018-08 | - |
dc.identifier.issn | 1880-2818 | - |
dc.identifier.uri | http://hdl.handle.net/2433/251603 | - |
dc.description.abstract | The paper deals with the free product of generalized Gaussian process with function t_{b}(V)=b^{H(V)}, where H(V)=n-h(V), h(V) is the number of singletons in a pair-partition Vin mathcal{P}_{2}(2n). Some new combinatorial formulas are presented. Connections with free additive convolutions probability measure on mathbb{R} are also done. Also new positive definite functions on permutations are presented and also it is proved that the function H is norm (on the group S(infty)=cup S(n). Connection with random matrices and positive definite functions on permutations groups are also done. | en |
dc.format.mimetype | application/pdf | - |
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.ndc | 410 | - |
dc.title | Free product of generalized Gaussian processes, random matrices and positive definite functions on permutation groups (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 | 2089 | - |
dc.identifier.spage | 35 | - |
dc.identifier.epage | 52 | - |
dc.textversion | publisher | - |
dc.sortkey | 04 | - |
dc.address | Institute of Mathematics, Polish Academy of Sciences | en |
dc.address | Department of Control Systems and Mechatronics, Wroclaw University of Science and Technology | en |
dcterms.accessRights | open access | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
出現コレクション: | 2089 量子場の数理とその周辺 |
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