Small Noise Asymptotics for Invariant Densities for a Class of   Diffusions: A Control Theoretic View (with Erratum)
  The uniqueness argument in the proof of Theorem 5, p. 483, of "Small noise asymptotics for invariant densities for a class of diffusions: a control theoretic view, J. Math. Anal. and Appl. (2009) " is flawed. We give here a corrected proof. 
Anup Biswas and Vivek S. Borkar
math.PR