# Mixing Times

## Compare Convergence Rates

This visualization shows how the distribution over states evolves as various MCMC chains progress. You select the proposal distribution and MCMC score function as well as an initial distribution over the states. The initial distribution can either be uniform over the letters, a random probability vector, or a pure state with all of the mass concentrated on a single letter. The output shows a heatmap of the probabilities of being in a particular state over time and compares the total variation distance between the target distribution and the distribution after k steps from the given starting point.