Ergodic decomposition refers to the process of breaking down a dynamical system into its ergodic components, which are invariant under the system's dynamics and represent distinct behaviors of the system. This concept is crucial for understanding how different parts of a system can exhibit unique statistical properties, leading to a deeper insight into both ergodic and non-ergodic behavior within the system.
congrats on reading the definition of ergodic decomposition. now let's actually learn it.