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Asymptotic Expansion of a Partition Function Related to the Sinh-model
Gaetan Borot
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Description for Asymptotic Expansion of a Partition Function Related to the Sinh-model
Hardback. Series: Mathematical Physics Studies. Num Pages: 222 pages, 4 black & white illustrations, biography. BIC Classification: PB; PHS. Category: (G) General (US: Trade). Dimension: 167 x 242 x 18. Weight in Grams: 514.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Hardback
Publication date
2016
Series
Mathematical Physics Studies
Condition
New
Weight
513g
Number of Pages
222
Place of Publication
Cham, Switzerland
ISBN
9783319333786
SKU
V9783319333786
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Gaetan Borot
Gaetan Borot graduated at ENS Paris in theoretical physics, did his PhD at CEA Saclay, and is now a W2 Group Leader at the Max Planck Institute for Mathematics in Bonn. He was also a visiting scholar at MIT, collaborating with Alice Guionnet on the asymptotic analysis of random matrix models. He is working on the mathematical aspects of geometry ... Read more
Reviews for Asymptotic Expansion of a Partition Function Related to the Sinh-model
The main task of the book is to develop an effective method to obtain asymptotic expansions for certain rescaled multiple integrals. ... The book contains five appendices which complement the main results obtained. The 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. ... Read more