Stochastic point sets are considered that display a diffraction spectrum of mixed type, with special emphasis on explicitly computable cases together with a unified approach of reasonable generality. Several pairs of autocorrelation and diffraction measures are discussed which show a duality structure that may be viewed as analogues of the Poisson summation formula for lattice Dirac combs.

We derive the ‘exact’ Newtonian limit of general relativity with a positive cosmological constant Λ. We point out that in contrast to the case with Λ ≤ 0, the presence of a positive Λ in Einsteins’s equations enforces, via the condition |Φ| 1, on the potential Φ, a range Rmax(Λ) r Rmin(Λ), within which the Newtonian limit is valid. It also leads to the existence of a maximum mass, Mmax(Λ). As a...

As know, a ballistic MOS-Like carbon nanotube FET can be simulated by using a self-consistent procedure between the charge and the Poisson equations. Because of the integral form of the charge equation, this model cannot be implemented in the commercially available circuit simulators, such as SPICE. In this paper, we propose an analytical solution for estimating the charge equation, so that the...

We present an approach for solving the Boltzmann equation based on the explicit construction of the Green’s functions. The Green’s function approach has been useful for the study of nonlinear interior waves and the boundary waves. In this Part I we study the Green’s functions for the initial and initial-boundary value problems. In the forthcoming Part II, we will study the general solutions of ...

We show the existing solution of Poisson-Boltzmann equation (PBE) to violate charge conservation principle, and then derive the correct formula for charge density distribution (ρe) in a fluid. We replaced unphysical old boundary conditions with some conditions that have never been used. Our result demonstrates that PBE cannot explain the formation of ‘Electric Double Layer’ (EDL); it follows th...

We set limits on the magnetic moment and charge radius of the tau neutrino by examining an extra contribution to the electroweak process e+e− → ννγ using VENUS, TOPAZ and AMY results. We find that κ(ντ ) < 9.1 × 10−6 (i.e. μ(ντ ) < 9.1 × 10μB , μB = e/2me) and 〈r2〉 < 3.1 × 10−31cm2 with Poisson statistics by combining their results. Whereas, similar to this method, with the Unified Approach we ...

2 Proofs for the Poisson model 3 2.1 Bounds for general linear estimators . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Negative result for truncated Good-Toulmin estimator . . . . . . . . . . . . . . . . . 5 2.3 Bounds on SGT estimators: arbitrary smoothing . . . . . . . . . . . . . . . . . . . . 5 2.4 Poisson smoothing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

In a spherical-harmonics expansion formulation of the semi-classical Boltzmann transport equation (BTE) the influence of surface-scattering mechanisms on mobility are investigated, accounting for both global and local scattering mechanisms, with reference to holes in silicon. The analysis successfully reproduces the experimental data.

The asymptotic distributions of the number of vertices of given degree in random graph K n,p are given. By using the method of Poisson convergence, Poisson and normal distributions are obtained.

We introduce the notion of Hopf algebroids, in which neither the total algebras nor the base algebras are required to be commutative. We give a class of Hopf algebroids associated to module algebras of the Drinfeld doubles of Hopf algebras when the Rmatrices act properly. When this construction is applied to quantum groups, we get examples of quantum groupoids, which are semi-classical limits o...