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Random Circulant Matrices

Circulant matrices have been around for a long time and have been extensively used in many scientific areas. This book studies the;

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Random Circulant Matrices

Circulant matrices have been around for a long time and have been extensively used in many scientific areas. This book studies the;

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Random Matrices and Non-Commutative Probability

This is an introductory book on Non-Commutative Probability or Free Probability and Large Dimensional Random Matrices. Basic concepts;

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Patterned Random Matrices

Large dimensional random matrices (LDRM) with specific patterns arise in econometrics, computer science, mathematics, physics, and;

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Patterned Random Matrices

Large dimensional random matrices (LDRM) with specific patterns arise in econometrics, computer science, mathematics, physics, and;

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Noncommutative Probability and Random Matrices at Saint Flour

Biane, Philippe: Non-commutative stochastic calculus.-Voiculescu, Dan-Virgil: Lectures on free probability.- Guionnet, Alice: Large random;

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Asymptotics of Random Matrices and Related Models

of random matrices or the tiles in random tilings. Classical tools of probability theory are useless to study such models. These lecture notes;

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Modern Aspects of Random Matrix Theory

The theory of random matrices is an amazingly rich topic in mathematics. Random matrices play a fundamental role in various areas such as;

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Random Matrices And Random Partitions

This book is aimed at graduate students and researchers who are interested in the probability limit theory of random matrices and random;

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Random Matrices: High Dimensional Phenomena

This book focuses on the behaviour of large random matrices. Standard results are covered, and the presentation emphasizes elementary;

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Traffic Distributions and Independence

Voiculescu's notion of asymptotic free independence is known for a large class of random matrices including independent unitary invariant;

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Random Matrices, Random Processes and Integrable Systems

This book explores the remarkable connections between two domains that, a priori, seem unrelated: Random matrices (together with associated;

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Orthogonal Polynomials and Random Matrices

models. The central question was the following: Why do very general ensembles of random $n {times} n$ matrices exhibit universal behavior as $n;

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Free Probability and Random Matrices

probability has intertwined with non-crossing partitions, random matrices, applications in wireless communications, representation theory of large;

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Log-Gases and Random Matrices (LMS-34)

such as beta ensembles and Jack polynomials. Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as;

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Large Covariance and Autocovariance Matrices

-dimensional time series), mathematics (random matrices and free probability) and computer science (wireless communication). Parts of it can be used;

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Large Covariance and Autocovariance Matrices

-dimensional time series), mathematics (random matrices and free probability) and computer science (wireless communication). Parts of it can be used;

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Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other;

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Ranks of Elliptic Curves and Random Matrix Theory

interplay of number theory and random matrices. It begins with an introduction to elliptic curves and the fundamentals of modelling by a family;

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Spectral Analysis of Large Dimensional Random Matrices

dimensional random matrices. The core of the book focuses on results established under moment conditions on random variables using probabilistic;

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A First Course in Random Matrix Theory

algorithms. Presenting an introductory calculus course for random matrices, the book focusses on modern concepts in matrix theory, generalising the;

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Stochastic Processes and Random Matrices: Lecture Notes of the Les Houches Summer School

mechanics and the theory of random matrices, namely the fluctuations of the largest eigenvalue of certain ensembles of random matrices. This;

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Random Tensors

resounding success of random matrices as theories of random two dimensional surfaces, random tensors are their natural generalization to theories;

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Diffuse Waves in Complex Media

localization of waves, band gap materials, random matrices, dielectric media, laser cooled atoms, wave scattering from rough surfaces, randomly layered;

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Recent Developments in Multivariate and Random Matrix Analysis

papers. The contents of the papers evolve around multivariate analysis and random matrices with topics such as high-dimensional analysis;

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