Interfacial Phenomena and Natural Local Time
Probability
2012-04-03 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1204.0271,
title = {Interfacial Phenomena and Natural Local Time},
author = {Thilanka Appuhamillage and Vrushali Bokil and Enrique Thomann and Edward Waymire and Brian Wood},
journal= {arXiv preprint arXiv:1204.0271},
year = {2012}
}