Topic: Reversibility and Detailed Balance

Why Detailed Balance Implies Stationarity

Time Reversal of a Stationary Markov Chain

Testing Reversibility in Small Transition Matrices

Stationary Distributions for Random Walks on Graphs

Self-Adjointness of Reversible Transition Operators

Reversible Random Walks on Weighted Graphs

Reversing a Reversed Chain

Reversibility of Multi-Step Transitions

Proof of Kolmogorov’s Cycle Criterion

Path-Reversal Symmetry Under Detailed Balance