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Asymptotic Expansion of a Partition Function Related to the Sinh-model Vital Source e-bog
Gaëtan Borot, Alice Guionnet og Karol K. Kozlowski
(2016)
Springer Nature
815,00 kr.
Leveres umiddelbart efter køb
Asymptotic Expansion of a Partition Function Related to the Sinh-model Vital Source e-bog
Gaëtan Borot, Alice Guionnet og Karol K. Kozlowski
(2016)
Springer Nature
528,00 kr.
Leveres umiddelbart efter køb
Asymptotic Expansion of a Partition Function Related to the Sinh-Model
Gaëtan Borot, Alice Guionnet og Karol K. Kozlowski
(2016)
Sprog: Engelsk
Springer International Publishing AG
749,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (December 2016)
- Forfattere: Gaëtan Borot, Alice Guionnet og Karol K. Kozlowski
- ISBN: 9783319333793
This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. The core aims at proving an expansion up to o(1) for the logarithm of the partition function of the sinh-model. This is achieved by a combination of potential theory and large deviation theory so as to grasp the leading asymptotics described by an equilibrium measure, the Riemann-Hilbert approach to truncated Wiener-Hopf in order to analyse the equilibrium measure, the Schwinger-Dyson equations and the boostrap method to finally obtain an expansion of correlation functions and the one of the partition function. This book is addressed to researchers working in random matrices, statistical physics or integrable systems, or interested in recent developments of asymptotic analysis in those fields.
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Print: 2 sider kan printes ad gangen
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Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Vital Source 365 day rentals (fixed pages)
- Udgiver: Springer Nature (December 2016)
- Forfattere: Gaëtan Borot, Alice Guionnet og Karol K. Kozlowski
- ISBN: 9783319333793R365
This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. The core aims at proving an expansion up to o(1) for the logarithm of the partition function of the sinh-model. This is achieved by a combination of potential theory and large deviation theory so as to grasp the leading asymptotics described by an equilibrium measure, the Riemann-Hilbert approach to truncated Wiener-Hopf in order to analyse the equilibrium measure, the Schwinger-Dyson equations and the boostrap method to finally obtain an expansion of correlation functions and the one of the partition function. This book is addressed to researchers working in random matrices, statistical physics or integrable systems, or interested in recent developments of asymptotic analysis in those fields.
Licens varighed:
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: 5 år fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: 5 år fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Hardback: 149 sider
- Udgiver: Springer International Publishing AG (December 2016)
- Forfattere: Gaëtan Borot, Alice Guionnet og Karol K. Kozlowski
- ISBN: 9783319333786
This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. The core aims at proving an expansion up to o(1) for the logarithm of the partition function of the sinh-model. This is achieved by a combination of potential theory and large deviation theory so as to grasp the leading asymptotics described by an equilibrium measure, the Riemann-Hilbert approach to truncated Wiener-Hopf in order to analyse the equilibrium measure, the Schwinger-Dyson equations and the boostrap method to finally obtain an expansion of correlation functions and the one of the partition function. This book is addressed to researchers working in random matrices, statistical physics or integrable systems, or interested in recent developments of asymptotic analysis in those fields.
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.
2.1.1.- Properties of the N-dependent equilibrium measure.- The Gaussian potential.- Summary of symbols.
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