STUDYING AN USING OVERLOAD SYSTEM ROTATION
Yiqiang Q. Zhao · 2000
For a finite Markov chain, by rotating the transition matrix by 180 ~ or relabelling the states, one can define a new Marker chain. This Marker chain in fact is the imbedded Markov chain of an inverse process. Duality properties about this Markov chain sometimes are not difficult to obtain. Similarly, one can discuss an infinite Marker chain with states 0,+1,=i:2,---. However, many applications involve transition matrices with various boundary modifications where rotation cannot directly apply. After introducing some duality properties for a boundaryfree or finite Markov chain, we will mainly focus on some interesting application problems and show how to use the duality from rotation to these problems.