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Random walks (Mathematics)

  • LÚvy 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...

  • 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...

  • Quasi-Stationary Distributionsby Pierre Collet; Servet MartÝnez; Jaime San MartÝn

    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...

  • 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...

  • 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...

  • 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 Walks and Geometryby Vadim Kaimanovich; Klaus Schmidt; Wolfgang Woess

    De Gruyter 2004; US$ 307.00

    Recent developments show that probability methods have become a very powerful tool in such different areas as statistical physics, dynamical systems, Riemannian geometry, group theory, harmonic analysis, graph theory and computer science. This volume is an outcome of the special semester 2001 - Random Walks held at the Schr÷dinger Institute in Vienna,... 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...

  • LÚvy Processes in Lie Groupsby Ming Liao

    Cambridge University Press 2004; US$ 100.00

    Up-to-the minute research on important stochastic processes. 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...