Gaussian fields satisfying simultaneous operator scaling relations
نویسنده
چکیده
Random fields are a useful tool for modelling spatial phenomenon like environmental fields, including for example, hydrology, geology, oceanography and medical images. Many times the chosen model has to include some statistical dependence structure that might be present across the scales. Thus, an usual assumption is self-similarity (see [Lamp62]), defined for a random field {X(x)}x∈Rd on R by
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