Laha - Lukacs properties of some free processes ∗

Appell Polynomials and Their Relatives Ii. Boolean Theory

The Appell-type polynomial family corresponding to the simplest non-commutative derivative operator turns out to be connected with the Boolean probability theory, the simplest of the three universal non-commutative probability theories (the other two being free and tensor/classical probability). The basic properties of the Boolean Appell polynomials are described. In particular, their generatin...

@bullet Regression Quantiles in Nonparahetric Regression @bullet Regression Quantiles in Nonparametric Regression

In a nonparametric setup involving stochastic regressors. regression quantiles relate to the so called conditional quantile functions. Various asymptotic properties of such conditional quantile processes are studied with due emphasis on the underlying design aspects.

Electron-temperature evolution in expanding ultracold neutral plasmas.

We have used the free expansion of ultracold neutral plasmas as a time-resolved probe of electron temperature. A combination of experimental measurements of the ion expansion velocity and numerical simulations characterize the crossover from an elastic-collision regime at low initial Gamma(e), which is dominated by adiabatic cooling of the electrons, to the regime of high Gamma(e) in which inel...

On the Arithmetical Properties of Certain Entire Characteristic Functions

-torsion free Acts Over Monoids

In this paper firt of all we introduce a generalization of torsion freeness of acts over monoids, called -torsion freeness. Then in section 1 of results we give some general properties and in sections 2, 3 and 4 we give a characterization of monoids for which this property of their right Rees factor, cyclic and acts in general  implies some other properties, respectively.