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First Steps In Random Walks

The name random walk for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson;

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Random Walk

Random walks are stochastic processes formed by successive summation of independent, identically distributed random variables and are one;

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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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Renewal Theory for Perturbed Random Walks and Similar Processes

been worked out in the last decade. The first chapter is devoted to perturbed random walks and discusses their asymptotic behavior and various;

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Random Walks Of Infinitely Many Particles

The author's previous book, Random Walk in Random and Non-Random Environments, was devoted to the investigation of the Brownian motion of a;

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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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Quantum Walks for Computer Scientists

of sophisticated algorithms, many ofwhich employ stochastic processes as their mathematical basis. Discrete random walks are a popular choice among;

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Fractional Dynamics In Comb-like Structures

Random walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular;

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Statistical Mechanics & Random Walks

In this book, the authors gather and present topical research in the study of statistical mechanics and random walk principles and;

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Analysis of Random Walks

following topics: One- Dimensional Random Walks; Two-Dimensional Random Walks; the Two-Dimensional Workload Process; and the N-Dimensional Random;

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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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Fractional Dynamics on Networks and Lattices

This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach;

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More Random Walks in Science

More Random Walks in Science is an anthology of fascinating and frequently amusing anecdotes, quotations, illustrations, articles, and;

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More Random Walks in Science

More Random Walks in Science is an anthology of fascinating and frequently amusing anecdotes, quotations, illustrations, articles, and;

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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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Monte Carlo Methods

Carlo techniques to apply these ideas to their research. The book focuses on two basic themes: The first is the importance of random walks as;

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Random Walks on Infinite Graphs and Groups

The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure;

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Random Walks on Infinite Graphs and Groups

The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure;

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Random Walks Random Fields and Disordered Systems

by the three terms in the title: Random Walks, Random Fields and Disordered Systems. The specific topics covered include a study of Branching;

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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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Planar Maps Random Walks and Circle Packing

This open access book focuses on the interplay between random walks on planar maps and Koebe's circle packing theorem. Further topics;

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Cambridge Monographs on Mathematical Physics

This graduate/research level text describes in a unified fashion the statistical mechanics of random walks, random surfaces and random;

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Diffusion and Reactions in Fractals and Disordered Systems

of phenomena. This book describes diffusion and transport in disordered media such as fractals, porous rocks and random resistor networks. Divided into;

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More Evidence Against the Random Walk Hypothesis

This volume provides more evidence against the Random Walk Hypothesis and offers insights into market inefficiency through systematically;

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Groups, Graphs and Random Walks

An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the strong connections of the theory with;

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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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Elementary Applications of Probability Theory

sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and;

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