This paper studies logarithmic depreciation which is similar to conventional geometric depreciation, except that capital and investment are replaced by their logarithms. We provide empirical theoretical evidence can account for aggregate better than more complicated methods have additional parameters. document consumption decisions in the United States other countries appear be made under erron...

In this paper we use the idea of logarithmic density to define the concept of logarithmic statistical convergence. We find the relations of logarithmic statistical convergence with statistical convergence, statistical summability (H, 1) introduced by Móricz (Analysis 24:127-145, 2004) and [H, 1]q-summability. We also give subsequence characterization of statistical summability (H, 1). MSC: 40A0...

Solutions to a singular one-dimensional Vlasov equation are obtained as the semiclassical limit of the Wigner transform associated to a logarithmic Schrödinger equation. Two frameworks are considered, regarding in particular the initial position density: Gaussian initial density, or smooth initial density away from vacuum. For Gaussian initial densities, the analysis also yields global solution...