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

World Scientific Publishing Company 2011; US$ 127.00This 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...

#### 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...

#### Fractional Fields and Applications

Springer 2013; US$ 49.95This book focuses mainly on fractional Brownian fields and their extensions. It has been used to teach graduate students at Grenoble and Toulouse's Universities. It is as self-contained as possible and contains numerous exercises, with solutions in an appendix. After a foreword by Stéphane Jaffard, a long first chapter is devoted to classical... more...

#### Contract Theory in Continuous-Time Models

Springer 2012; US$ 79.95In recent years, there has been a significant increase of interest in continuous-time Principal-Agent models, or contract theory, and their applications. Continuous-time models provide a powerful and elegant framework for solving stochastic optimization problems of finding the optimal contracts between two parties, under various assumptions on the... more...

#### Applied Diffusion Processes from Engineering to Finance

Wiley 2013; US$ 186.00The aim of this book is to promote interaction between engineering, finance and insurance, as these three domains have many models and methods of solution in common for solving real-life problems. The authors point out the strict inter-relations that exist among the diffusion models used in engineering, finance and insurance. In each of the three... more...

#### Green, Brown, and Probability

World Scientific Publishing Company 1995; US$ 36.00This volume shows modern probabilistic methods in action: Brownian Motion Process as applied to the electrical phenomena investigated by Green et al., beginning with the Newton–Coulomb potential and ending with solutions by first and last exits of Brownian paths from conductors. more...

#### Brownian Motion

Oxford University Press 2008; US$ 74.99Brownian motion- the incessant motion of small particles suspended in a fluid- is an important topic in statistical physics and physical chemistry. This book studies its origin in molecular scale fluctuations, its description in terms of random process theory and also in terms of statistical mechanics. - ;Brownian motion - the incessant motion of small... more...

#### Analysis and Stochastics of Growth Processes and Interface Models

Oxford University Press 2008; US$ 98.99This book is a collection of topical survey articles by leading researchers in the fields of applied analysis and probability theory, working on the mathematical description of growth phenomena. Particular emphasis is on the interplay of the two fields, with articles by analysts being accessible for researchers in probability, and vice versa. Mathematical... more...

#### Brownian Motion

Cambridge University Press 2010; US$ 68.00Everything the graduate student in probability wants to know about Brownian motion, including the latest research in the field. more...

#### 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...