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#### Schrödinger Equations and Diffusion Theory

Springer 2012; US$ 39.95Schrödinger Equations and Diffusion Theory addresses the question "What is the Schrödinger equation?" in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger’s conjecture of 1931 is solved. The theory of diffusion processes for... more...

#### Matrix-Analytic Methods

World Scientific Publishing Company 2002; US$ 256.00Matrix-analytic methods are fundamental to the analysis of a family of Markov processes rich in structure and of wide applicability. They are extensively used in the modelling and performance analysis of computer systems, telecommunication networks, network protocols and many other stochastic systems of current commercial and engineering interest.This... more...

#### Markov Chains

Cambridge University Press 1997; US$ 48.00For students in pure and applied probability; lots of applications, fairly self-contained. more...

#### Functionals of Multidimensional Diffusions with Applications to Finance

Springer 2013; US$ 129.00This research monograph provides an introduction to tractable multidimensional diffusion models, where transition densities, Laplace transforms, Fourier transforms, fundamental solutions or functionals can be obtained in explicit form. The book also provides an introduction to the use of Lie symmetry group methods for diffusions, which allows... more...

#### Markov Chains

Wiley 2013; US$ 130.00Markov chains are a fundamental class of stochastic processes. They are widely used to solve problems in a large number of domains such as operational research, computer science, communication networks and manufacturing systems. The success of Markov chains is mainly due to their simplicity of use, the large number of available theoretical results... more...

#### Risk Assessment and Evaluation of Predictions

Springer 2013; US$ 169.00Methods of risk analysis and the outcome of particular evaluations and predictions are covered in detail in this proceedings volume, whose contributions are based on invited presentations from Professor Mei-Ling Ting Lee's 2011 symposium on Risk Analysis and the Evaluation of Predictions. This symposium was held at the University of Maryland in October... more...

#### Semigroups, Boundary Value Problems and Markov Processes

Springer 2014; US$ 149.00A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book. It focuses on the interrelationship between three subjects in analysis: Markov processes, semi groups and elliptic boundary value problems. The author studies a general class of elliptic boundary value problems for second-order, Waldenfels... more...

#### Analytical Methods for Markov Semigroups

CRC Press 2006; US$ 146.95For 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...

#### Elements of the Random Walk

Cambridge University Press 2004; US$ 52.00Self-contained introduction to the applications of random walk techniques. more...

#### Markov Processes, Gaussian Processes, and Local Times

Cambridge University Press 2006; US$ 72.00A readable 2006 synthesis of three main areas in the modern theory of stochastic processes. more...