The rate of convergence is given by the eigenvalues of .
( is the transition probabilities of the Markov process)
Limiting distribution given by eigen vectors of
with largest eigen value.
(Excluding the largest, which is always unity)
the smaller the eigenvalues are,
the faster the actual distribution
converges to the limiting distribution
I.e. the smaller is the threshold program size
For some simple situations
eigenvalues and eigen vectors are known.
.