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if the b1>1, the formula won't be a mean-reversion expression which means it's not a stable situation. no reverting anymore under such condition.

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no no, you misunderstand my explanation. When b_0>1, the equation/formula won't be a mean-reversion one. Reverting doesn't exist under such condition.

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when b_1>1, the time series will be an exponentially increasing sequence and for sure it won't have unit root and people call it non-stationary.

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