title: Factorized time correlation diagram analysis of paired causal systems excited by twin stochastic driving functions.
abstract: This work examines the properties and mathematical structure of factorized time correlation (FTC) diagram analysis in a general context. The goal is to extract general principles and analytic behavior that are not tied to any particular phenomenon in physics. It is hoped that this will provide a basis for expanded use of FTC diagram analysis beyond its current employment in the study of noisy light-based nonlinear optical spectroscopy. Furthermore, the concept of indirect correlation in a two-channel system driven by twin stationary circular Gaussian stochastic inputs is defined and discussed both analytically and through FTC diagram analysis.
authors.affiliation: Department of Chemistry, Concordia College, Moorhead, Minnesota 56562, USA.
authors.forename: Daniel P
authors.initials: DP
authors.lastname: Biebighauser
authors.forename: Daniel B
authors.initials: DB
authors.lastname: Turner
authors.forename: Darin J
authors.initials: DJ
authors.lastname: Ulness