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