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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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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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A Course on Large Deviations with an Introduction to Gibbs Measures

phase transition of the Ising model, in a text intended for a one semester or quarter course. The book begins with a straightforward approach to;

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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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Large Deviations

theorems are presented for i.i.d. sequences, Markov sequences, and sequences with moderate dependence. The rate function is computed explicitly;

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Large Deviations at Saint Flour

Contents: Azencott, R. : Large deviations and applications.- Freidlin, Mark I. Semi-linear PDE's and limit theorems for large deviations;

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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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Asymptotic Analysis of Random Walks

deviation theory for heavy-tailed random walks. Most of the results presented in the book are appearing in a monograph for the first time. Many;

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Introduction to Random Graphs

The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.;

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Large Deviations and Metastability

emphasis is given to the fundamental Freidlin-Wentzell results on small random perturbations of dynamical systems. Metastability is first described;

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Asymptotic Analysis of Random Walks

of probability in statistics, ruin theory, and queuing theory. The large deviation principle for random walks was first established by the author in 1967;

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Foundations of Data Science

methods for analysis of phase transitions in large random graphs. Additionally, important structural and complexity measures are discussed such as;

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Random Graphs

Presents refereed papers by international experts regarding such diverse areas of interest as: random mappings and permutations;

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Random Graphs

of techniques for solving systems of random linear equations in finite fields. These results will interest specialists in combinatorics and probability;

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Random Graphs

of techniques for solving systems of random linear equations in finite fields. These results will interest specialists in combinatorics and probability;

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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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Generating Random Networks and Graphs

Generating random networks efficiently and accurately is an important challenge for practical applications, and an interesting question for;

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Random Graphs for Statistical Pattern Recognition

resource presents: a detailed look at the application of random graphs to pattern recognition; extensive examples of applications of the graphs;

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Graph Mining

network? These are the questions that motivate this work. Networks and graphs appear in many diverse settings, for example in social networks;

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Random Walks and Heat Kernels on Graphs

This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an;

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The Random Matrix Theory of the Classical Compact Groups

This is the first book to provide a comprehensive overview of foundational results and recent progress in the study of random matrices from;

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Large Deviations and Idempotent Probability

deviation principle (LDP) and well-known methods for establishing weak convergence results. Large Deviations and Idempotent Probability expounds;

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Large Deviations and Idempotent Probability

deviation principle (LDP) and well-known methods for establishing weak convergence results. Large Deviations and Idempotent Probability expounds;

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Extremal problems in random graphs

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Statistical Mechanics & Random Walks

algorithm for diffusion processes and application of random walks for the analysis of graphs, musical composition and language phylogeny.;

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Large Deviations Techniques and Applications

of large deviations and applications at a level suitable for graduate students. The mathematics is rigorous and the applications come from a wide;

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The component structure of random graphs

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