TBD.

Relevance to actual stochastic processes and dynamical systems, especially linear. and nonlinear system identification, and long-memory systems.

Keywords to look up:

- probability-free ergodicity
- Birkhoff ergodic theorem.
- Frobenius-Perron operator.
- Quasicompactness, correlation decay.
- C&C CLT for Markov chains - Nagaev.

Not much material here, but please see learning theory for dependent data for some interesting categorisations of mixing and transcendence of stupid mixing conditions for statistical estimators.

## Mixing zoo

### \(\beta\)-mixing

### \(\phi\)-mixing

### Sequential Rademacher complexity

## Refs

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