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We consider the nonlinear stochastic heat equation in one dimension. Undersome conditions on the nonlinearity, we show that the "peaks" of the solutionare rare, almost fractal like. We also provide an upper bound on the length ofthe "islands," the regions of large values. These results are obtained byanalyzing the correlation length of the solution.

Correlation-length bounds, and estimates for intermittent islands in parabolic SPDEs