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#### Stochastic Differential Equations and Processes

Springer 2011; US$ 124.00Selected papers submitted by participants of the international Conference "Stochastic Analysis and Applied Probability 2010" ( www.saap2010.org ) make up the basis of this volume. The SAAP 2010 was held in Tunisia, from 7-9 October, 2010, and was organized by the "Applied Mathematics & Mathematical Physics" research unit of the... more...

#### Stochastic Stability of Differential Equations

Springer 2011; US$ 129.00Since the publication of the first edition of the present volume in 1980, the stochastic stability of differential equations has become a very popular subject of research in mathematics and engineering. To date exact formulas for the Lyapunov exponent, the criteria for the moment and almost sure stability, and for the existence of stationary and periodic... more...

#### Markovprozesse und stochastische Differentialgleichungen

Springer 2012; US$ 29.95In diesem Lehrbuch werden einige Themen aus der Stochastik behandelt, die auf dem Begriff des Markovprozesses aufbauen. Dabei sind Markovprozesse stochastische Prozesse, für welche die Prognose für das zufällige Verhalten in der Zukunft nur von der gegenwärtigen Position abhängt. Die zentralen Begriffe der Markovprozesse werden... more...

#### Stochastic Dynamics

Springer New York 2007; US$ 139.00This volume gives an account of new and recent developments in the theory of random and, in particular, stochastic dynamical systems. Several new and exciting insights into the unexpected variety of dynamical behaviors resulting from the influence of stochastic perturbations are conveyed to the reader. It is intended for an audience of researchers... more...

#### An Introduction To The Geometry Of Stochastic Flows

World Scientific Publishing Company 2004; US$ 96.00This book aims to provide a self-contained introduction to the local geometry of the stochastic flows. It studies the hypoelliptic operators, which are written in Hörmander?s form, by using the connection between stochastic flows and partial differential equations. The book stresses the author?s view that the local geometry of any stochastic flow is... more...

#### Nonlinear Fokker-Planck Equations

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 139.00Centered around the natural phenomena of relaxations and fluctuations, this monograph provides readers with a foundation in the linear and nonlinear Fokker-Planck equations that describe the evolution of distribution functions. It emphasizes principles and concepts of the theory, while also illustrating the wide applicability. more...

#### Stochastic Differential Equations

World Scientific Publishing Company 2007; US$ 236.00This volume consists of 15 articles written by experts in stochastic analysis. The first paper in the volume, Stochastic Evolution Equations by N V Krylov and B L Rozovskii, was originally published in Russian in 1979. After more than a quarter-century, this paper remains a standard reference in the field of stochastic partial differential equations... more...

#### Modeling with Itô Stochastic Differential Equations

Springer 2007; US$ 139.00Dynamical systems with random influences occur throughout the physical, biological, and social sciences. By carefully studying a randomly varying system over a small time interval, a discrete stochastic process model can be constructed. Next, letting the time interval shrink to zero, an Ito stochastic differential equation model for the dynamical system... more...

#### Stochastic Ordinary and Stochastic Partial Differential Equations

Springer 2008; US$ 129.00This book provides the first rigorous derivation of mesoscopic and macroscopic equations from a deterministic system of microscopic equations. The microscopic equations are cast in the form of a deterministic (Newtonian) system of coupled nonlinear oscillators for N large particles and infinitely many small particles. The mesoscopic equations are stochastic... more...