# Deterministic Trends and Stochastic Trends

When dealing with non-stationary processes, can deterministic trends be converted into stochastic trends? If yes, why?

No (to my knowledge). A deterministic trend is something like $$y_t=\delta t+u_t$$ while a stochastic trend is something like $$y_t=y_{t-1}+u_t=y_0+\sum_{s=1}^tu_s,$$ and these behave fundamentally differently, as you can verify by running something like
t <- 1:100