2012/04/01 by Thilanka Appuhamillage, Vrushali A. Bokil, Appuhamillage, Thilanka +7
Economics, Econometrics and Finance · Environmental Science · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Groundwater flow and contamination studies #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.1204.0271
openalex publication_date 2012/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.