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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 Dynamics 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 |
9783540698975
3540698973 |
| 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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