For the minimal random walk, the paper proves the strong law of large numbers, central limit theorem, law of the iterated logarithm, and a non-normal scaling limit in the superdiffusive regime.
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Limit theorems for a minimal random walk model
For the minimal random walk, the paper proves the strong law of large numbers, central limit theorem, law of the iterated logarithm, and a non-normal scaling limit in the superdiffusive regime.