  An innovative theoretical framework for stochastic dynamics based on a
decomposition of a stochastic differential equation (SDE) has been developed
with an evident advantage in connecting deterministic and stochastic dynamics,
as well as useful applications in physics, engineering, chemistry and biology.
It introduces the A-type stochastic integration for SDE beyond traditional
Ito's or Stratonovich's interpretation. Serious question on its uniqueness was
recently raised. We provide here both mathematical and physical demonstrations
that the uniqueness is guaranteed. Such discussion leads to a better
understanding on the robustness of the novel framework. We also discuss the
limitation of a related approach of obtaining potential function from steady
state distribution.
