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#### From Markov Chains To Non-equilibrium Particle Systems

World Scientific Publishing Company 2004; US$ 155.00This book is representative of the work of Chinese probabilists on probability theory and its applications in physics. It presents a unique treatment of general Markov jump processes: uniqueness, various types of ergodicity, Markovian couplings, reversibility, spectral gap, etc. more...

#### GENERALIZED FUNCTIONALS OF BROWNIAN MOTION AND THEIR APPLICATIONS

World Scientific Publishing Company 2011; US$ 74.00This invaluable research monograph presents a unified and fascinating theory of generalized functionals of Brownian motion and other fundamental processes such as fractional Brownian motion and Levy process — covering the classical Wiener–Ito class including the generalized functionals of Hida as special cases, among others. It presents a... more...

#### Gaussian Markov Random Fields

CRC Press 2005; US$ 125.95Gaussian Markov Random Field (GMRF) models are most widely used in spatial statistics - a very active area of research in which few up-to-date reference works are available. This is the first book on the subject that provides a unified framework of GMRFs with particular emphasis on the computational aspects. This book includes extensive case-studies... more...

#### The Generic Chaining

Springer Berlin Heidelberg 2006; US$ 169.00What is the maximum level a certain river is likely to reach over the next 25 years? (Having experienced three times a few feet of water in my house, I feel a keen personal interest in this question. ) There are many questions of the same nature: what is the likely magnitude of the strongest earthquake to occur during the life of a planned building,... more...

#### The Geometric Process and Its Applications

World Scientific Publishing Company 2007; US$ 111.00A geometric process is a simple monotone process that was first introduced by the author in 1988. It is a generalization of renewal process. This book captures the extensive research work on geometric processes that has been done since then in both probability and statistics theory and various applications. Some results are published for the first... more...

#### Graph Directed Markov Systems

Cambridge University Press 2003; US$ 108.00Monograph on Graph Directed Markov Systems with backgound and research level material. more...

#### Hyperfinite Dirichlet Forms and Stochastic Processes

Springer Berlin Heidelberg 2011; US$ 59.95This monograph covers the theory of Dirichlet forms. It examines the symmetric as well as the non-symmetric case, surveys the theory of hyperfinite Lévy processes and summarizes the model-theoretic genericity of hyperfinite stochastic processes theory. more...

#### INTRODUCTION TO HIDA DISTRIBUTIONS

World Scientific Publishing Company 2011; US$ 74.00This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is white noise. This book analyzes those functionals of white noise, particularly... more...

#### Impulsive Differential Inclusions

De Gruyter 2013; US$ 196.00Impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, etc. The questions of existence and stability of solutions for different classes of initial values problems for impulsive differential equations... more...

#### Infinite Dimensional Stochastic Analysis

World Scientific Publishing Company 2008; US$ 111.00This volume contains current work at the frontiers of research in infinite dimensional stochastic analysis. It presents a carefully chosen collection of articles by experts to highlight the latest developments in white noise theory, infinite dimensional transforms, quantum probability, stochastic partial differential equations, and applications to... more...