Robert I. Cukier

TL;DR: In this article, the sensitivity of the solutions of large sets of coupled nonlinear rate equations to uncertainties in the rate coefficients is investigated, and it is shown via an application of Weyl's ergodic theorem that a subset of the Fourier coefficients is related to ∂ci/∂kl ǫ, the rate of change of the concentration of species i with respect to the rate constant for reaction l averaged over the uncertainties of all the other rate coefficients.

TL;DR: Methods for the evaluation of these rate constants are discussed that are based on dielectric continuum theory and the rate-constant expressions corresponding to the ETPT and ET/PT channels for several model reaction complexes are evaluated.

TL;DR: In this article, the sensitivity analysis presented in this paper is nonlinear and thus permits one to study the effects of large deviations from the nominal parameter values, and since all parameters are varied simultaneously, one can explore regions of parameter space where several parameters deviate simultaneously from their nominal values.

TL;DR: In this article, the authors developed a new method of sensitivity analysis for large sets of coupled nonlinear equations with many parameters and developed rigorous error bounds for these approximations, where applicable, they showed that the techniques developed in this series of papers provide a useful and efficient method for sensitivity analysis of large systems with multiple parameters.

TL;DR: Developpement d'une theorie de la relation entre la concentration and le coefficient de diffusion des spheres du titre is described in this paper, where the authors propose a theory of the relation between concentration and diffusion of spheres.