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Asymptotics of Random Matrices and Related Models: The Uses of Dyson-Schwinger Equations
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Type: BOOK - Published: 2019-04-29 - Publisher: American Mathematical Soc.

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Probability theory is based on the notion of independence. The celebrated law of large numbers and the central limit theorem describe the asymptotics of the sum
Random Matrices, Random Processes and Integrable Systems
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Type: BOOK - Published: 2011-05-06 - Publisher: Springer Science & Business Media

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This book explores the remarkable connections between two domains that, a priori, seem unrelated: Random matrices (together with associated random processes) an
Lectures on Random Lozenge Tilings
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This is the first book dedicated to reviewing the mathematics of random tilings of large domains on the plane.
Asymptotic Expansion of a Partition Function Related to the Sinh-model
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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 dimens
Large Random Matrices: Lectures on Macroscopic Asymptotics
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Random matrix theory has developed in the last few years, in connection with various fields of mathematics and physics. These notes emphasize the relation with