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Geometrical measures of the smoothness of random functions

Published online by Cambridge University Press:  14 July 2016

Paul Switzer
Paul Switzer*
Affiliation:
Stanford University
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Abstract

For stationary isotropic random functions on a Euclidean space, we characterize and compare the mean values of certain geometric measures of the smoothness of realizations. In particular we examine mean properties of the contours and gradients of the random function, and the effect of local averaging on smoothness in special cases.

Keywords

SAMPLE PATHSSMOOTHINGCONTOURSGRADIENTSSURFACE AREA
Type
Research Papers
Information
Journal of Applied Probability , Volume 13 , Issue 1 , March 1976 , pp. 86 - 95
Copyright
Copyright © Applied Probability Trust 1976 

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