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Random Matrix Theory, Interacting Particle Systems, and Integrable Systems

Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and has a wide range;

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Random Matrices, Random Processes and Integrable Systems

random processes) and integrable systems. The relations between random matrix models and the theory of classical integrable systems have long;

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Elements of Classical and Quantum Integrable Systems

, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite;

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Elements of Classical and Quantum Integrable Systems

, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite;

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Random Matrix Models and their Applications

and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for;

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Random Matrix Theory And Its Applications

Random matrix theory has a long history, beginning in the first instance in multivariate statistics. It was used by Wigner to supply;

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Mathematical Sciences Research Institute Publications

and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for;

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Multi-scale Analysis for Random Quantum Systems with Interaction

important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction presents the progress;

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Limit Theorems For Associated Random Fields And Related Systems

theory (central limit theorem for random fields, weak and strong invariance principles, functional law of the iterated logarithm etc.) and;

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Random Walks, Brownian Motion, and Interacting Particle Systems

potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general;

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Scaling Limits of Interacting Particle Systems

was completed by Claudio Landim, his most brilliant student and collaborator. It presents the techniques used in the proof of the hydrodynamic behavior;

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Log-Gases and Random Matrices (LMS-34)

Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random;

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Non-Homogeneous Random Walks

, exemplified by non-homogeneous random walks. Applications treat near-critical stochastic systems and range across modern probability theory from;

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Scattering Matrix Approach To Non-Stationary Quantum Transpo

The aim of this book is to introduce the basic elements of the scattering matrix approach to transport phenomena in dynamical quantum;

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Probability on Graphs

systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model;

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Differential Geometry And Physics - Proceedings Of The 23th International Conference Of Differential Geometric Methods In Theoretical Physics

topological quantum field theory; development of integrable systems; and random matrix theory.;

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Random Growth Models

The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the;

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Probability on Graphs

systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model;

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Large Deviations

the related large deviation behavior of the number of distinct sites visited by a random walk, and (iii) interacting particle systems, their;

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Integrable Hamiltonian Systems

classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties;

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Integrable Hamiltonian Systems

classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties;

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Geometry and Dynamics of Integrable Systems

is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic;

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Random Evolutionary Systems - Asymptotic Properties and Large Deviations

parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and;

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Limit Theorems in Probability, Statistics and Number Theory

theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These;

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New Trends In Quantum Integrable Systems - Proceedings Of The Infinite Analysis 09

, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and;

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Limiting Behavior of Interacting Particle Systems

This book, addressed to researchers and students interested in interacting particle systems, is a study on the application of a law;

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Optimal Control & Geometry Systems

The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for;

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