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We discuss the link between uncorrelated noise and Hurst exponent for one andtwo-dimensional interfaces. We show that long range correlations cannot beobserved using one-dimensional cuts through two-dimensional self-affinesurfaces whose height distributions are characterized by a Hurst exponent lowerthan -1/2. In this domain, fractional and white noise are not distinguishable.A method analysing the correlations in two dimensions is necessary. For Hurstexponents larger than -1/2, a crossover regime leads to a systematic overestimate of the Hurst exponent.Comment: 3 pages RevTeX, 4 Postscript figure

Distinguishing fractional and white noise in one and two dimensions