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Asymptotics of Random Matrices and Related Models: The Uses of Dyson-Schwinger Equations
Language: en
Pages: 154
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
Language: en
Pages: 261
Authors: Vadim Gorin
Categories: Language Arts & Disciplines
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.
Asymptotic Expansion of a Partition Function Related to the Sinh-model
Language: en
Pages: 233
Authors: Gaƫtan Borot
Categories: Science
Type: BOOK - Published: 2016-12-08 - Publisher: Springer

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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
Language: en
Pages: 296
Authors: Alice Guionnet
Categories: Mathematics
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
Stochastic Processes and Random Matrices
Language: en
Pages: 641
Authors: Gregory Schehr
Categories: Mathematics
Type: BOOK - Published: 2017 - Publisher: Oxford University Press

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This text covers in detail recent developments in the field of stochastic processes and Random Matrix Theory. Matrix models have been playing an important role