Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Time reversibility plays an important role in the analysis of continuous and discrete time Markov chains (DTMCs). Specifically, the computation of the stationary distribution of a reversible Markov chain has been proved to be very efficient and does not require the solution of the system of global balance equations. A DTMC is reversible when the processes at forward and reversed time are probabilistically indistinguishable.   introduce the concept of ρ-reversibility, i.e., a notion of reversibility modulo a renaming of the states, and  contrast it with the previous definition of dynamic reversibility especially with respect to the assumptions on the state renaming function.  discuss the applications of discrete time reversibility in the embedded and uniformized chains of continuous time processes.
['Andrea Marin', 'Sabina Rossi']
I am writing a research paper on a idea On discrete time reversibility modulo state renaming and its applications
[{"from": "human", "value": "I am writing a research paper on a idea On discrete time reversibility modulo state renaming and its applications"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Time reversibility plays an important role in the analysis of continuous and discrete time Markov chains (DTMCs). Specifically, the computation of the stationary distribution of a reversible Markov chain has been proved to be very efficient and does not require the solution of the system of global balance equations. A DTMC is reversible when the processes at forward and reversed time are probabilistically indistinguishable.   introduce the concept of \u03c1-reversibility, i.e., a notion of reversibility modulo a renaming of the states, and  contrast it with the previous definition of dynamic reversibility especially with respect to the assumptions on the state renaming function.  discuss the applications of discrete time reversibility in the embedded and uniformized chains of continuous time processes."}]