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Using algorithms of Higuchi and of Grassberger and Procaccia, we studynumerically how fractal dimensions cross over from finite-dimensional Browniannoise at short time scales to finite values of deterministic chaos at longertime scales for data generated from a Langevin equation that has a strangeattractor in the limit of zero noise. Our results suggest that the crossoveroccurs at such short time scales that there is little chance offinite-dimensional Brownian noise being incorrectly identified as deterministicchaos.Comment: 12 pages including 3 figures, RevTex and epsf. To appear Phys. Rev.  E, April, 199

Stochastic to deterministic crossover of fractal dimensions for a Langevin equation