Random Dynamical Systems
Skew products, Lyapunov exponents in random environments, and stochastic stability.
Random Dynamical Systems. Skew products, Lyapunov exponents in random environments, and stochastic stability.
Foundations and canonical references
The standard treatments of random dynamical systems approach the subject from complementary angles. Arnold, Random Dynamical Systems (1998) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for random dynamical systems include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1998Random Dynamical Systemsarnold-ludwig-1998
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