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#### Elements of Random Walk and Diffusion Processes

Wiley 2013; US$ 97.95Presents an important and unique introduction to random walk theory Random walk is a stochastic process that has proven to be a useful model in understanding discrete-state discrete-time processes across a wide spectrum of scientific disciplines. Elements of Random Walk and Diffusion Processes provides an interdisciplinary approach by including... more...

#### Random Walk in Random and Non-Random Environments

World Scientific Publishing Company 2013; US$ 112.00The simplest mathematical model of the Brownian motion of physics is the simple, symmetric random walk. This book collects and compares current results — mostly strong theorems which describe the properties of a random walk. The modern problems of the limit theorems of probability theory are treated in the simple case of coin tossing. Taking... more...

#### The Self-Avoiding Walk

Springer New York 2012; US$ 79.95The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. Here is an affordable reprint of a classic monograph that offers a focused look at this important model. more...

#### Quasi-Stationary Distributions

Springer Berlin Heidelberg 2012; US$ 129.00This book explores the main concepts of quasi-stationary distributions (QSDs) for killed processes. The authors offer numerous examples, and provide a basis for applications in mathematical ecology, statistical physics, computer sciences and economics. more...

#### First Steps in Random Walks

Oxford University Press 2011; US$ 71.99The name "random walk" for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson in 1905 in a question posed to readers of "Nature". The same year, a similar problem was formulated by Albert Einstein in one of his Annus Mirabilis works. Even earlier such a problem was posed by... more...

#### Random Walks and Diffusions on Graphs and Databases

Springer Berlin Heidelberg 2011; US$ 124.00This book introduces the theory of graphs and random walks on graphs, covers methods for exploring the structure of finite connected graphs and databases, and details applications in electric resistance networks, urban planning, linguistic databases and more. more...

#### Lévy Processes and Stochastic Calculus

Cambridge University Press 2009; US$ 80.00A fully revised and appended edition of this unique volume, which develops together these two important subjects. more...

#### Stopped Random Walks

Springer 2009; US$ 49.95Classical probability theory provides information about random walks after a fixed number of steps. This title shows how this theory can be used to prove limit theorems for renewal counting processes, first passage time processes, and certain two-dimensional random walks, as well as how these results may be used in a variety of applications. more...

#### Asymptotic Analysis of Random Walks

Cambridge University Press 2008; US$ 192.00A comprehensive monograph presenting a unified systematic exposition of the large deviations theory for heavy-tailed random walks. more...

#### Fluctuation Theory for Levy Processes

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2007; US$ 44.95L??vy processes, i.e. processes in continuous time with stationary and independent increments, are named after Paul L??vy, who made the connection with infinitely divisible distributions and described their structure. They form a flexible class of models, which have been applied to the study of storage processes, insurance risk, queues, turbulence,... more...