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Record Nr. |
UNINA9910828574703321 |
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Autore |
Forrester Peter (Peter John) |
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Titolo |
Log-gases and random matrices / / P.J. Forrester |
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Pubbl/distr/stampa |
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Princeton, : Princeton University Press, c2010 |
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ISBN |
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1-282-64174-3 |
9786612641749 |
1-4008-3541-0 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (806 p.) |
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Collana |
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London Mathematical Society monographs |
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Disciplina |
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Soggetti |
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Random matrices |
Jacobi polynomials |
Integral theorems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- Preface -- Contents -- Chapter One. Gaussian Matrix Ensembles -- Chapter Two. Circular Ensembles -- Chapter Three. Laguerre And Jacobi Ensembles -- Chapter Four. The Selberg Integral -- Chapter Five. Correlation functions at β = 2 -- Chapter Six. Correlation Functions At β= 1 And 4 -- Chapter Seven. Scaled limits at β = 1, 2 and 4 -- Chapter Eight. Eigenvalue probabilities - Painlevé systems approach -- Chapter Nine. Eigenvalue probabilities- Fredholm determinant approach -- Chapter Ten. Lattice paths and growth models -- Chapter Eleven. The Calogero-Sutherland model -- Chapter Twelve. Jack polynomials -- Chapter Thirteen. Correlations for general β -- Chapter Fourteen. Fluctuation formulas and universal behavior of correlations -- Chapter Fifteen. The two-dimensional one-component plasma -- Bibliography -- Index |
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Sommario/riassunto |
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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 |
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