ON THE CRITERIA OF TRANSIENCE AND RECURRENCE FOR THE DISCRETE-TIME BIRTH-DEATH CHAINS DEFINED BY DIRECTED WEIGHTED CIRCUITS IN RANDOM ERGODIC ENVIRONMENTS
By using the cycle-circuit representation theory of Markov processes, we investigate suitable criteria regarding the properties of the transience and recurrence for the discrete-time birth-death chains defined by directed weighted cycles (especially by directed weighted circuits) in random ergodic environments.
cycle representation theory, birth-death chain, random ergodic environment.
