I am supposed to find the probability for some given $s,t,h > 0$, the probability $$N(s,t] = N (s+h,t+h] +m$$ for $m\in\Bbb N$.
I am confused by this however because I thought stationarity meant $N(s,t] = N (s+h,t+h] = k$.
Doesn't having a constant $m$ violate this?