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arXiv · 1204.0271

Interfacial Phenomena and Natural Local Time

Abstract

This article addresses a modification of local time for stochastic processes, to be referred to as `natural local time'. It is prompted by theoretical developments arising in mathematical treatments of recent experiments and observations of phenomena in the geophysical and biological sciences pertaining to dispersion in the presence of an interface of discontinuity in dispersion coefficients. The results illustrate new ways in which to use the theory of stochastic processes to infer macro scale parameters and behavior from micro scale observations in particular heterogeneous environments.

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Thilanka Appuhamillage, Vrushali Bokil, Enrique Thomann, Edward Waymire, Brian Wood. 2012-04-01. Interfacial Phenomena and Natural Local Time. https://arxiv.org/abs/1204.0271

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