The averaging principle (Theorem 4.7) fails for the equation dX^ε_t = E[X^ε_t | F^0_t] dt with random initial condition, contradicting the paper's central claim.
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Wellposedness and averaging principle for conditional distribution dependent SDEs driven by standard Brownian motions and fractional Brownian motions
The averaging principle (Theorem 4.7) fails for the equation dX^ε_t = E[X^ε_t | F^0_t] dt with random initial condition, contradicting the paper's central claim.