P. G. Madhavan

P. G. Madhavan

Purdue University School of Engineering and Indiana University School of Medicine

October 3, 1995

Random Field Theory of Local Averages and Applications

Abstract -
Analysis of distributed disordered systems that give rise to random fields is an important area of study. Examples include voltage distribution over the human scalp, rainfall across the continental United States, wave phenomena on the ocean surface and so on. In 1983, Vanmarcke developed a theory of random fields based on the properties of the local averages of such fields.

An operational quantity called the "Scale of Fluctuation" that characterize the second-order properties of random fields can be defined. It extends in an elegant way to multi-dimensional cases. We will discuss the theory and interpretations of the scale of fluctuation.

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