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Based on the competition between members of a hierarchy of length scales incomplex multi-scale systems, it is shown how clustering of active quantitiesinto concentrated sets, like bubbles in a Swiss cheese, is a generic propertythat dominates the intermittent structure. The halo-like surfaces of theseclusters have scaling exponents lower than that of their kernels, which can beas high as the domain dimension. Examples include spots in fluid turbulence anddroplets in spin-glasses.Comment: 4 pages with one figur

Cluster formation in complex multi-scale systems