I'm interested in a method or set of methods that would allow to convert a random/stochastic markov chain into a stochastic/deterministic markov chain. But let me clarify my view.
Given a N states Markov chain, fully filled with nonnegative real random values, and where each row which sum up to 1. How can I remove/reduce the probability of jumps from state to state, such that the new Markov Chain present similarities with a Birth-Death process (Stochastic/deterministic) while maintening the behavior of the first chain e.g Steady State
Thanks in advance