  The statistics of multi-field inflation are investigated using the stochastic
approach. We analytically obtain the probability distribution function of
fields with the scaling approximation by extending the previous work by
Amendola. The non-Gaussian nature of the probability distribution function is
investigated decomposing the fields into the adiabatic and isocurvature
components. We find that the non-Gaussianity of the isocurvature component can
be large compared with that of the adiabatic component. The adiabatic and
isocurvature components may be correlated at nonlinear order in the skewness
and kurtosis even if uncorrelated at linear level.

Astrophysics