For a system which is simultaneously driven by both white and colored noise, we present results for the stationary probability and the smallest eigenvalue, which are calculated numerically for the exact non-Markovian dynamics. By use of the method of matrix continued fractions we study the stochastic motion in a symmetric double well where the barrier height fluctuates due to colored noise. Our findings can be invoked as a benchmark in testing present and future approximate theories for such two-noise driven systems.
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