Online Shannon information measures that an agent computes while observing a stationary, ergodic environment form stationary, ergodic processes, and the average semantic content of a measurement equals the statistical complexity of the environment's minimal predictive model.
} that consists of transient states whose probabilities vanish andre- current states ˜σ whose probability converges to a constant Pr(˜σ)> 0
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Agentic Information Theory: Ergodicity and Intrinsic Semantics of Information Processes
Online Shannon information measures that an agent computes while observing a stationary, ergodic environment form stationary, ergodic processes, and the average semantic content of a measurement equals the statistical complexity of the environment's minimal predictive model.