Based on 1-dimension (1-D) thermal conduction equation, we calculate the upper limit of the fluctuation of the fiber temperature.
The findings suggest adopting the safe lower limit of demand fluctuations to prevent overstocking.
The bracket process will be crucial to determine the limit of the fluctuations as seen in the next proposition.
We follow the original approach by Kurtz to determine the limit of the fluctuations of the Markov chain.
This provides a control system that keeps the activity of the bipolar cells within limits, regardless of fluctuations in the intensity of light reaching the receptors.
We establish the linear behavior for large time and weak disorder of the quenched limit fluctuations of the empirical measure of the particles around its McKean Vlasov limit.
The process B a, b also appeared in Bojdecki et al. [6] in a high density limit of occupation time fluctuations of the above mentioned particles system, where the initial Poisson configuration has finite intensity measure, with d = 1 < α, a = − 1 / α, b = 1 − 1 / α.
Motivated by the analysis of fluctuation limits of particle systems, a nuclear Gelfand triple is constructed on the space C [0,1], Rd) with σ-finite Wiener measure, following Kubo and Yokoi (1989, Nagoya Math. J.115, 139-149).
In the limit of large populations, the fluctuations of x k around the deterministic steady state x − k can be analyzed in linear perturbation theory.
Although Heckscher is now chiefly remembered as an economic historian, he also made several contributions to economic theory, including the concept of commodity points, which limits the fluctuation of inconvertible paper currencies (Ekonomisk Tidskrift, 1916).
