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Just reflect that theNo (unless X is a one-point space). The mean of two distinct shift-invariant product probability measures is a shift-invariant probability measure, though not a product.
Just reflect that the mean of two distinct shift-invariant product probability measures is a shift-invariant probability measure, though not a product.
No (unless X is a one-point space). The mean of two distinct shift-invariant product probability measures is a shift-invariant probability measure, though not a product.
Just reflect that the mean of two distinct shift-invariant product probability measures is a shift-invariant probability measure, though not a product.
