Log-Gases and Random Matrices:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, N.J.
Princeton University Press
2010
|
| Series: | London Mathematical Society Monographs
34 |
| Subjects: | |
| Online Access: | Volltext Volltext |
| Item Description: | Main description: Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack polynomials. Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as examples of integrable or exactly solvable systems. Forrester develops not only the application and theory of Gaussian and circular ensembles of classical random matrix theory, but also of the Laguerre and Jacobi ensembles, and their beta extensions. Prominence is given to the computation of a multitude of Jacobians; determinantal point processes and orthogonal polynomials of one variable; the Selberg integral, Jack polynomials, and generalized hypergeometric functions; Painlevé transcendents; macroscopic electrostatistics and asymptotic formulas; nonintersecting paths and models in statistical mechanics; and applications of random matrix theory. This is the first textbook development of both nonsymmetric and symmetric Jack polynomial theory, as well as the connection between Selberg integral theory and beta ensembles. The author provides hundreds of guided exercises and linked topics, making Log-Gases and Random Matrices an indispensable reference work, as well as a learning resource for all students and researchers in the field |
| Physical Description: | 1 Online-Ressource (808 S.) |
| ISBN: | 9781400835416 |
| DOI: | 10.1515/9781400835416 |
Staff View
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Record in the Search Index
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:24:01Z |
| institution | BVB |
| isbn | 9781400835416 |
| language | English |
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| publisher | Princeton University Press |
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| spelling | Forrester, Peter J. Verfasser aut Log-Gases and Random Matrices Princeton, N.J. Princeton University Press 2010 1 Online-Ressource (808 S.) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society Monographs 34 Main description: Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack polynomials. Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as examples of integrable or exactly solvable systems. Forrester develops not only the application and theory of Gaussian and circular ensembles of classical random matrix theory, but also of the Laguerre and Jacobi ensembles, and their beta extensions. Prominence is given to the computation of a multitude of Jacobians; determinantal point processes and orthogonal polynomials of one variable; the Selberg integral, Jack polynomials, and generalized hypergeometric functions; Painlevé transcendents; macroscopic electrostatistics and asymptotic formulas; nonintersecting paths and models in statistical mechanics; and applications of random matrix theory. This is the first textbook development of both nonsymmetric and symmetric Jack polynomial theory, as well as the connection between Selberg integral theory and beta ensembles. The author provides hundreds of guided exercises and linked topics, making Log-Gases and Random Matrices an indispensable reference work, as well as a learning resource for all students and researchers in the field Statistische Physik (DE-588)4057000-9 gnd rswk-swf Stochastische Matrix (DE-588)4057624-3 gnd rswk-swf Stochastische Matrix (DE-588)4057624-3 s Statistische Physik (DE-588)4057000-9 s 1\p DE-604 https://doi.org/10.1515/9781400835416 Verlag Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400835416&searchTitles=true Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Forrester, Peter J. Log-Gases and Random Matrices Statistische Physik (DE-588)4057000-9 gnd Stochastische Matrix (DE-588)4057624-3 gnd |
| subject_GND | (DE-588)4057000-9 (DE-588)4057624-3 |
| title | Log-Gases and Random Matrices |
| title_auth | Log-Gases and Random Matrices |
| title_exact_search | Log-Gases and Random Matrices |
| title_full | Log-Gases and Random Matrices |
| title_fullStr | Log-Gases and Random Matrices |
| title_full_unstemmed | Log-Gases and Random Matrices |
| title_short | Log-Gases and Random Matrices |
| title_sort | log gases and random matrices |
| topic | Statistische Physik (DE-588)4057000-9 gnd Stochastische Matrix (DE-588)4057624-3 gnd |
| topic_facet | Statistische Physik Stochastische Matrix |
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