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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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Asymptotic Analysis of Random Walks

This book focuses on the asymptotic behaviour of the probabilities of large deviations of the trajectories of random walks with 'heavy;

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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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Asymptotic Analysis of Random Walks

This is a companion book to Asymptotic Analysis of Random Walks: Heavy-Tailed Distributions by A.A. Borovkov and K.A. Borovkov. Its self;

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Symmetry and Collective Fluctuations in Evolutionary Games

evolutionary dynamics from the perspective that all evolutionary theories are ultimately effective theories: the robust properties and predictions;

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Large Deviations for Gaussian Queues

models.* Analysis of recent research asymptotic results for Gaussian queues, both in the large-buffer and many-sources regime.* An emphasis on;

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Queueing Theory 1

with random breakdowns, repairs and customers' collisions. Some recent tendencies in the asymptotic analysis include the average and diffusion;

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Large Deviations and Asymptotic Methods in Finance

of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important;

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Stochastic Models with Power-Law Tails

probabilistic study of the stochastic recurrence equation X_t=A_tX_{t-1}+B_t for real- and matrix-valued random variables A_t, where (A_t,B_t;

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A Course on Large Deviations with an Introduction to Gibbs Measures

the key ideas and results of large deviation theory in the context of independent identically distributed random variables. This includes;

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Large Deviations and Metastability

The book provides a general introduction to the theory of large deviations and a wide overview of the metastable behaviour of stochastic;

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A Weak Convergence Approach to the Theory of Large Deviations

book skillfully guides readers through models of increasing complexity covering a wide variety of random variable-level and process-level;

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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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Hyperbolic Dynamics, Fluctuations and Large Deviations

properties of dynamical systems of many different types have been the subject of extensive study in statistical mechanics and thermodynamics, ergodic;

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Asymptotic Geometric Analysis

Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and;

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Schrodinger Operators - The Quantum Mechanical Many-body Problem

operators on a torus and KAM theory, semiclassical theory, time delay, radiation conditions, magnetic Stark resonances, random Schrodinger operators;

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Limit Theorems For Associated Random Fields And Related Systems

This volume is devoted to the study of asymptotic properties of wide classes of stochastic systems arising in mathematical statistics;

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Large Deviations for Random Graphs

This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a;

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Large Deviations and Idempotent Probability

differential equations, and studies their properties. The large deviation principle for stochastic processes is formulated as a certain type;

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Large Deviations and Idempotent Probability

differential equations, and studies their properties. The large deviation principle for stochastic processes is formulated as a certain type;

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Asymptotic Expansion of a Partition Function Related to the Sinh-model

This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random;

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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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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems

in evolutionary equations and introductory functional analysis as well as a basic understanding of PDEs and the theory of random processes. Suitable for;

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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems

in evolutionary equations and introductory functional analysis as well as a basic understanding of PDEs and the theory of random processes. Suitable for;

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Random Summation

, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems;

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Random Summation

, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems;

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Branching Random Walks

Providing an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties;

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