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#### Lévy Processes and Stochastic Calculus

Cambridge University Press 2004; US$ 80.00Graduate text decsribing two of the main tools for modern mathematical finance. more...

#### Dynamic Random Walks

Elsevier Science 2006; US$ 117.00The 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...

#### Random Walk In Random And Non-random Environments (second Edition)

World Scientific Publishing Company 2005; US$ 248.00The 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 advantage... 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...

#### Random Walks and Geometry

De Gruyter 2004; US$ 321.00Recent 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 Schrödinger... more...

#### Cycle Representations of Markov Processes

Springer New York 2007; US$ 169.00Provides fresh insight into Markovian dependence via the cycle decompositions. This book presents an account of a class of stochastic processes known as cycle processes. It reveals interpretations of cycle representations such as homologic decompositions, orthogonality equations, Fourier series, semigroup equations, and disintegration of measures. more...

#### Analytical Methods for Markov Semigroups

CRC Press 2006; US$ 154.95For the first time in book form, Analytical Methods for Markov Semigroups provides a comprehensive analysis on Markov semigroups both in spaces of bounded and continuous functions as well as in Lp spaces relevant to the invariant measure of the semigroup. Exploring specific techniques and results, the book collects and updates the literature associated... more...

#### Invariant Probabilities of Markov-Feller Operators and Their Supports

Birkhäuser Basel 2005; US$ 69.99In this book invariant probabilities for a large class of discrete-time homogeneous Markov processes known as Feller processes are discussed. These Feller processes appear in the study of iterated function systems with probabilities, convolution operators, certain time series, etc. Rather than dealing with the processes, the transition probabilities... more...

#### Markov Chains

Elsevier Science 2008; US$ 195.00This is the revised and augmented edition of a now classic book which is an introduction to sub-Markovian kernels on general measurable spaces and their associated homogeneous Markov chains. The first part, an expository text on the foundations of the subject, is intended for post-graduate students. A study of potential theory, the basic classification... more...

#### Markov processes and potential theory

Elsevier Science 2011; US$ 72.95Markov processes and potential theory more...