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Random walks (Mathematics)

  • Elements of Random Walk and Diffusion Processesby Oliver C. Ibe

    Wiley 2013; US$ 94.95

    Presents 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 Environmentsby Pal Revesz

    World Scientific Publishing Company 2013; US$ 112.00

    The 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 Walkby Neal Madras; Gordon Slade

    Springer 2012; US$ 79.95

    The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple definition—a path on a lattice that does not visit the same site more than once—it is difficult to analyze mathematically. The Self-Avoiding Walk provides the first unified account... more...

  • Quasi-Stationary Distributionsby Pierre Collet; Servet Martínez; Jaime San Martín

    Springer 2012; US$ 129.00

    Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of the present volume. For diffusions, the killing is at the boundary and for dynamical systems there is a trap. The authors present the QSDs as the ones that allow describing the long-term behavior conditioned to not being killed. Studies in this research area... more...

  • First Steps in Random Walksby J. Klafter; I. M. Sokolov

    Oxford University Press 2011; US$ 71.99

    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 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 Databasesby Philippe Blanchard; Dimitri Volchenkov

    Springer 2011; US$ 124.00

    Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction,... more...

  • Lévy Processes and Stochastic Calculusby David Applebaum

    Cambridge University Press 2009; US$ 80.00

    A fully revised and appended edition of this unique volume, which develops together these two important subjects. more...

  • Stopped Random Walksby Allan Gut

    Springer 2009; US$ 49.95

    Classical 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 Walksby A. A. Borovkov; K. A. Borovkov

    Cambridge University Press 2008; US$ 192.00

    A comprehensive monograph presenting a unified systematic exposition of the large deviations theory for heavy-tailed random walks. more...

  • Dynamic Random Walksby Nadine Guillotin-Plantard; Rene Schott

    Elsevier Science 2006; US$ 117.00

    The aim of this book is to report on the progress realized in probability theory in the field of dynamic random walks and to present applications in computer science, mathematical physics and finance. Each chapter contains didactical material as well as more advanced technical sections. Few appendices will help refreshing memories (if necessary!).... more...