Annotation The theory of random dynamical systems originated from stochasticdifferential equations. It is intended to provide a framework andtechniques to describe and analyze the evolution of dynamicalsystems when the input and output data are known only approximately, accordin…
Random dynamical systems
by Arnold, Ludwig, mathématicien
fromSpringer Monographs in Mathematics
This monograph is a systematic presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochastic differential equations.
This thesis provides a study on the theory of stochastic von Neumann-Gale dynamical systems and their applications in Economics and Finance. This is a class of multivalued dynamical systems possessing certain properties of convexity and homogeneity. Dynamic models of this kind w…
The existence of pathwise stationary solutions of this stochastic partial differential equation (SPDE, for abbreviation) is demonstrated. In Part II, a connection between certain kind of state constrained controlled Forward-Backward Stochastic Differential Equations (FBSDEs) and…
We study evolutionary models of financial markets. In particular, we study an evolutionary market model with short-lived assets and an evolutionary model with long-lived assets. In the long-lived asset market, investors are allowed to use general dynamic investment strategies. W…