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Asymptotic Expansion of a Partition Function Related to the Sinh-model
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.
Catalogue: Authors
Its outstanding feature is the inclusion of journal articles. For more than 50 years the periodicals have been indexed, as well as compilations such as Festschriften, and the proceedings of congresses.
Grahame Clark and His Legacy
Grahame Clark was a major figure in European archaeology for over 50 years, and pioneered work in prehistoric economies and ecology, in science-based archaeology and in a world view of ancient societies. In this book a variety of authorities from Europe and beyond assess these major contributions and provide discussions about Clark's own colleagues and contemporaries, his major archaeological themes and his varied approaches, and his world-wide contacts and travels. The papers provide surveys and opinions on Clark's role in the development of archaeology in the 20th century, and the basis that it provided for archaeological work of today. The book will be a valuable source of evidence, ideas and references for scholars interested in the development of the discipline.
Prehistoric Flint Mines in Europe
This volume offers a review of major flint mines dating from the Neolithic to the Bronze Age. The 18 articles were contributed by archaeologists from Belgium, France, Germany, Great Britain, Hungary, Italy, the Netherlands, Poland, Spain and Sweden, using the same framework to propose a uniform view of the mining phenomenon.
Ludwig Faddeev Memorial Volume: A Life In Mathematical Physics
Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. His fundamental contributions to scattering theory, quantum gauge theories, and the theory of classical and quantum completely integrable systems played a key role in shaping modern mathematical physics.Ludwig Faddeev's major achievements include the solution of the three-body problem in quantum mechanics, the mathematical formulation of quantum gauge theories and corresponding Feynman rules, Hamiltonian and algebraic methods in mathematical physics, with applications to gauge theories with anomalies, quantum systems with constraints and solitons, the discovery of the algebraic structure of classic...
