The Entropy of a Markov Chain

The article explores how to define entropy in the context of Markov chains, drawing connections between classical thermodynamic entropy (as defined by Clausius) and information-theoretic approaches (building on Boltzmann's work). The author uses Dyson's toy model of a cell to investigate how entropy concepts might help explain "life as entropy," a idea motivated by Schrödinger's concept of negentropy, where living systems maintain order by consuming energy to reduce local disorder.