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Stochastic differential equations

  • An Introduction To The Geometry Of Stochastic Flowsby Fabrice Baudoin

    World Scientific Publishing Company 2004; US$ 96.00

    This 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 H÷rmander?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...

  • The Langevin Equationby William T. Coffey; Yuri P. Kalmykov

    World Scientific Publishing Company 2012; US$ 176.00

    This volume is the third edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the translational and rotational Brownian motion of particles and spins in a potential highlighting modern applications in physics, chemistry, electrical engineering, and so on. In order to improve the presentation,... more...

  • The Langevin Equationby W. T. Coffey; Yu P. Kalmykov; J. T. Waldron

    World Scientific Publishing Company 2004; US$ 282.00

    This volume is the second edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the Brownian motion in a potential, with emphasis on modern applications in the natural sciences, electrical engineering and so on. It has been substantially enlarged to cover in a succinct manner a number of new... more...

  • The Langevin and Generalised Langevin Approach to the Dynamics of Atomic, Polymeric and Colloidal Systemsby Ian Snook

    Elsevier Science 2006; US$ 143.00

    The Langevin and Generalised Langevin Approach To The Dynamics Of Atomic, Polymeric And Colloidal Systems is concerned with the description of aspects of the theory and use of so-called random processes to describe the properties of atomic, polymeric and colloidal systems in terms of the dynamics of the particles in the system. It provides derivations... more...

  • Lyapunov Functionals and Stability of Stochastic Difference Equationsby Leonid Shaikhet

    Springer London 2011; US$ 159.00

    Detailed description of Lyapunov functional construction will allow researchers to analyse stability results for hereditary systems more easily Profuse analytical and numerical examples help to explain the methods used Demonstrates a method that can be usefully applied in economic, mechanical, biological and ecological systems more...

  • Lyapunov Functionals and Stability of Stochastic Functional Differential Equationsby Leonid Shaikhet

    Springer International Publishing 2013; US$ 129.00

    Detailed description of Lyapunov functional construction will allow researchers to analyse stability results for hereditary systems more easily Profuse analytical and numerical examples help to explain the methods used Demonstrates a method that can be usefully applied in economic, mechanical, biological and ecological systems more...

  • Markovprozesse und stochastische Differentialgleichungenby Ehrhard Behrends

    Springer 2012; US$ 29.95

    In 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...

  • Modeling with It˘ Stochastic Differential Equationsby Edward Allen

    Springer 2007; US$ 139.00

    Dynamical 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...

  • The Noisy Oscillatorby Moshe Gitterman

    World Scientific Publishing Company 2005; US$ 96.00

    Stochastic Processes; Fluctuation Phenomena; Classical Statistical Mechanics; Oscillator; Brownian Motion; Stochastic Resonance; Multiplicative Noise more...

  • Nonlinear Fokker-Planck Equationsby Till D. Frank

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 139.00

    Centered 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...