| 書(shū)目名稱 | Progress on the Study of the Ginibre Ensembles | | 編輯 | Sung-Soo Byun,Peter J. Forrester | | 視頻video | http://file.papertrans.cn/761/760798/760798.mp4 | | 概述 | This book is open access, which means that you have free and unlimited access.Is the first book that focuses on the Ginibre ensembles .Presents the subject relevant to a broad range of researchers.Sui | | 叢書(shū)名稱 | KIAS Springer Series in Mathematics | | 圖書(shū)封面 |  | | 描述 | .This open access book focuses on the Ginibre ensembles that are non-Hermitian random matrices proposed by Ginibre in 1965. Since that time, they have enjoyed prominence within random matrix theory, featuring, for example, the first book on the subject written by Mehta in 1967. Their status has been consolidated and extended over the following years, as more applications have come to light, and the theory has developed to greater depths. This book sets about detailing much of this progress. Themes covered include eigenvalue PDFs and correlation functions, fluctuation formulas, sum rules and asymptotic behaviors, normal matrix models, and applications to quantum many-body problems and quantum chaos. There is a distinction between the Ginibre ensemble with complex entries (GinUE) and those with real or quaternion entries (GinOE and GinSE, respectively)..First, the eigenvalues of GinUE form a determinantal point process, while those of GinOE and GinSE have the more complicated structure of a Pfaffian point process. Eigenvalues on the real line in the case of GinOE also provide another distinction. On the other hand, the increased complexity provides new opportunities for research. Thi | | 出版日期 | Book‘‘‘‘‘‘‘‘ 2025 | | 關(guān)鍵詞 | Open Access; Ginibre Ensembles; Non-Hermitian Random Matrices; Determinantal Point Processes; Pfaffan Po | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-97-5173-0 | | isbn_softcover | 978-981-97-5175-4 | | isbn_ebook | 978-981-97-5173-0Series ISSN 2731-5142 Series E-ISSN 2731-5150 | | issn_series | 2731-5142 | | copyright | The Editor(s) (if applicable) and The Author(s) 2025 |
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