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Asymptotic expansion of a partition function related to the sinh-model / / by Gaëtan Borot, Alice Guionnet, Karol K. Kozlowski
| Asymptotic expansion of a partition function related to the sinh-model / / by Gaëtan Borot, Alice Guionnet, Karol K. Kozlowski |
| Autore | Borot Gaëtan |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XV, 222 p. 4 illus.) |
| Disciplina | 510 |
| Collana | Mathematical Physics Studies |
| Soggetto topico |
Mathematical physics
Probabilities Potential theory (Mathematics) Statistical physics Dynamical systems Physics Mathematical Physics Probability Theory and Stochastic Processes Potential Theory Complex Systems Mathematical Methods in Physics Statistical Physics and Dynamical Systems |
| ISBN | 3-319-33379-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Main results and strategy of proof -- Asymptotic expansion of ln ZN[V], the Schwinger-Dyson equation approach -- The Riemann–Hilbert approach to the inversion of SN -- The operators WN and U-1N -- Asymptotic analysis of integrals -- Several theorems and properties of use to the analysis -- Proof of Theorem 2.1.1 -- Properties of the N-dependent equilibrium measure -- The Gaussian potential -- Summary of symbols. |
| Record Nr. | UNINA-9910155305503321 |
Borot Gaëtan
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Large random matrices : lectures on macroscopic asymptotics : Ecole d'Ete des Probabilites de Saint-Flour XXXVI - 2006 / / Alice Guionnet
| Large random matrices : lectures on macroscopic asymptotics : Ecole d'Ete des Probabilites de Saint-Flour XXXVI - 2006 / / Alice Guionnet |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | Berlin ; ; London, : Springer, 2009 |
| Descrizione fisica | 1 online resource (XII, 294 p. 13 illus.) |
| Disciplina | 512.9434 |
| Altri autori (Persone) | GuionnetAlice |
| Collana | Lecture notes in mathematics (Springer-Verlag) |
| Soggetto topico |
Random matrices
Asymptotic expansions |
| ISBN | 3-540-69897-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Wigner matrices and moments estimates -- Wigner#x2019;s theorem -- Wigner's matrices; more moments estimates -- Words in several independent Wigner matrices -- Wigner matrices and concentration inequalities -- Concentration inequalities and logarithmic Sobolev inequalities -- Generalizations -- Concentration inequalities for random matrices -- Matrix models -- Maps and Gaussian calculus -- First-order expansion -- Second-order expansion for the free energy -- Eigenvalues of Gaussian Wigner matrices and large deviations -- Large deviations for the law of the spectral measure of Gaussian Wigner's matrices -- Large Deviations of the Maximum Eigenvalue -- Stochastic calculus -- Stochastic analysis for random matrices -- Large deviation principle for the law of the spectral measure of shifted Wigner matrices -- Asymptotics of Harish-Chandra-Itzykson-Zuber integrals and of Schur polynomials -- Asymptotics of some matrix integrals -- Free probability -- Free probability setting -- Freeness -- Free entropy -- Basics of matrices -- Basics of probability theory. |
| Record Nr. | UNINA-9910483914503321 |
| Berlin ; ; London, : Springer, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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