Asymptotic Expansion of a Partition Function Related to the Sinh-model (Record no. 426515)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04216nam a22006015i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783319333793 |
| -- | 978-3-319-33379-3 |
| 024 7# - | |
| -- | 10.1007/978-3-319-33379-3 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA401-425 |
| 050 #4 - | |
| -- | QC19.2-20.85 |
| 072 #7 - | |
| -- | PHU |
| -- | bicssc |
| 072 #7 - | |
| -- | SCI040000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PHU |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.15 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Borot, Gaëtan. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Asymptotic Expansion of a Partition Function Related to the Sinh-model |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Gaëtan Borot, Alice Guionnet, Karol K. Kozlowski. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2016. |
| 300 ## - | |
| -- | XV, 222 p. 4 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Mathematical Physics Studies, |
| -- | 0921-3767 |
| 505 0# - | |
| -- | 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. |
| 520 ## - | |
| -- | 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. |
| 650 #0 - | |
| -- | Distribution (Probability theory. |
| 650 #0 - | |
| -- | Potential theory (Mathematics). |
| 650 #0 - | |
| -- | Mathematical physics. |
| 650 #0 - | |
| -- | Statistical physics. |
| 650 14 - | |
| -- | Mathematical Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M35000 |
| 650 24 - | |
| -- | Probability Theory and Stochastic Processes. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M27004 |
| 650 24 - | |
| -- | Potential Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12163 |
| 650 24 - | |
| -- | Complex Systems. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P33000 |
| 650 24 - | |
| -- | Mathematical Methods in Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19013 |
| 650 24 - | |
| -- | Statistical Physics and Dynamical Systems. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19090 |
| 700 1# - | |
| -- | Guionnet, Alice. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 700 1# - | |
| -- | Kozlowski, Karol K. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319333786 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319333809 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319814995 |
| 830 #0 - | |
| -- | Mathematical Physics Studies, |
| -- | 0921-3767 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-319-33379-3 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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