Hello all, I'm hoping that someone out there will be able to provide some insight on this...

When projecting a matrix through time, it seems to be pretty common to use the expression

which gives the recurrence relation

But what if instead we want to combine the transition with the previous state, and then re-scale the system

(Sum is the row sum)

Is it possible to get a recurrence relation? If so what would it be? Any thoughts?

Thanks,