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Asymptotics of Random Matrices and Related Models: The Uses of Dyson-Schwinger Equations
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Authors: Alice Guionnet
Categories: Mathematics
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
Lectures on Random Lozenge Tilings
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Authors: Vadim Gorin
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Type: BOOK - Published: 2021-09-09 - Publisher: Cambridge University Press

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This is the first book dedicated to reviewing the mathematics of random tilings of large domains on the plane.
Large Random Matrices: Lectures on Macroscopic Asymptotics
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Authors: Alice Guionnet
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Type: BOOK - Published: 2009-04-20 - Publisher: Springer

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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
A Dynamical Approach to Random Matrix Theory
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Authors: László Erdős
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A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University This book is a concise and self-contained introduction of
Asymptotic Expansion of a Partition Function Related to the Sinh-model
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Authors: Gaëtan Borot
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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