The shape and evolution of firm size distribution has been studied in industrial organization and labor economics. The standard hypothesis of Gibrat’s law of proportionate effect posits that the rate of firm growth is size-independent. We test Gibrat’s law using a new empirical methodology and considering the underinvestigated Brazilian case. Quantile regression is used to estimate the evolutio...

Boltzmann sampling based on Metropolis algorithm has been extensively used for simulating a canonical ensemble and for calculating macroscopic properties of a closed system at desired temperatures. An estimate of a mechanical property, like energy, of an equilibrium system, is made by averaging over a large number microstates generated by Boltzmann Monte Carlo methods. This is possible because ...

This paper investigates the privacy amplification problem, and compares the existing two bounds: the exponential bound derived by one of the authors and the min-entropy bound derived by Renner. It turns out that the exponential bound is better than the min-entropy bound when a security parameter is rather small for a block length, and that the min-entropy bound is better than the exponential bo...

We show that using nonextensive entropy can lead to spontaneous symmetry breaking when a parameter changes its value from that applicable for a symmetric domain, as in field theory. We give the physical reasons and also show that even for symmetric Dirichlet priors, such a definition of the entropy and the parameter value can lead to asymmetry when entropy is maximized.

wear is a complicated phenomenon caused by the relative movement of two contacting surfaces compressed together by a normal force. prediction of the wear, in most cases, requires various experiments and microstructural characterization of the contacting surfaces. mathematical models based on physical concepts could provide considerable help in understanding the physical behavior and hence the p...

Given a mixed quantum state ρ of a qudit, we consider any observable M as a kind of ‘thermometer’ in the following sense. Given a source which emits pure states with these or those distributions, we select such distributions that the appropriate average value of the observable M is equal to the average TrMρ of M in the stare ρ. Among those distributions we find the most typical one, namely, hav...

By determining the relation between topological M-theory and Chern-Simons actions for a gauge field constructed from Lie algebra of either SL(2,R)x SL(2,R) or SL(2,C)x SL(2,C), depending on sign space-time curvature, we show that standard exotic 3-dimensional gravity can be recovered M-theory. With this result, provide concrete realisation conjecture by Dijkgraaf et al. stating partition functi...

We investigate how late-time entropy production weakens the Big-Bang Nucleosynthesis (BBN) constraints on the gravitino as lightest superparticle with a charged slepton as next-to-lightest superparticle. We find that with a moderate amount of entropy production, the BBN constraints can be eluded for most of the parameter space relevant for the discovery of the gravitino. This is encouraging for...

steady hydromagnetic couette flow of class-ii of a viscous, incompressible and electrically conducting fluid through a porous medium in a rotating system taking hall current into account is investigated. heat transfer characteristics of the fluid flow are considered taking viscous and joule dissipations into account. it is noticed that there exists flow separation at the moving plate in the sec...