On sample path properties of semistable processes

This paper contains three main results: In the first result a correspondence principle between semistable measures on L_p, 1 ≤ p < ∞, and Banach space valued semistable processes is established. In the second result it is shown that the paths of a Banach space valued semistable process belong to L_p with probability zero or one, and necessary and sufficient conditions for the two alternatives to hold are given. In the third result necessary and sufficient conditions are given for almost sure path absolute continuity for certain Banach space valued semistable processes.     

Quantum corrections to thermodynamics of polar hard sphere fluids

The quantum corrections to the thermodynamic properties of polar hard sphere fluids and fluid mixtures are estimated taking into account the influence of dipole and quadrupole moments. Expressions are given for the second virial coefficient, free energy and pressure and results are given for different values ofμ* andϑ*. The first order quantum correction arises due to the translational contribution only. The quantum effect increases with density,μ* andϑ*. Numerical results are also estimated for binary mixtures of (i) hard spheres and dipole hard spheres and (ii) hard spheres and quadrupole hard spheres. The ‘excess’ free energy for dipole hard sphere binary mixture is also reported. It is found that the ‘excess’ quantum effect depends on the concentration and the particle diameter ratio and increases with increase ofμ* andϑ*.     

On some extremal problems in H p and the prediction ofL p -harmonizable stochastic processes

Summary We providesimple andsuccinct solutions to two dual extremal problems in the Hardy spacesH ^p , and to an aspect of the linear prediction problem for a certain class of discrete and continuous parameter L ^p -harmonizable stochastic processes, for all 1p<. Two of the results presented appear new. The methods of proof of the rest of the results provide alternatesimpler andshorter proofs for some earlier known theorems.This research is partially supported by AFSOR Grant No. 90-016 8 and the University of Tennessee Science Alliance, a State of Tennessee Center of Excellence     

Preparation of 4,6-diaminopyrazolo[3,4-d] pyrimidines with variations in substitution at the 1- and 3-positions

A number of new derivatives of 4,6-diaminopyrazolo[3,4-d]pyrimidines substituted in the 1- and/or 3-positions have been obtained from reactions of guanidine carbonate with 1- and/or 3-substituted-5-amino-4-cyanopyrazoles. Use of triethanolamine as a reaction medium permitted preparation of certain derivatives which could not be obtained from the previously described fusion procedure. Some derivatives of 4-aminopyrazolo[3,4-d]pyrimidine with substitution at the 1 - and/or 3-positions were also obtained from reactions of formamide with the same 5-amino-4-cyanopyrazoles. The new compounds were screened for in vivo antimalarial activity, but were found inactive.     

Nickel(II) aminoalkoxides

Summary Nickel alkoxides react with mono-, di- and tri-ethanolamines in different stoichiometric ratios and novel products have been isolated and characterized by elemental analyses, i.r. and electronic reflectance spectra. Insertions across the Ni-O bond in aminoalkoxides have been studied for the first time.     

Thiocarbamoyl derivatives of N-acylpiperazines

1-(p-Chlorobenzoyl)piperazine failed to yield a thiocarbamoyl derivative when treated with ammonium thiocyanate; only a thiocyanate salt was formed. However, it reacted readily with benzoylisothiocyanate to form the expected 1-(N-benzoylthiocarbamoyl)-4-(p-chlorobenzoyl)piperazine. Benzoylisothiocyanate also produced an N-benzoylthiocarbamoyl derivative of 1-formylpiperazine.     

Study of effects of Mn in CdS nanocrystals

Mn²⁺-doped CdS nanocrystals have been synthesized by adopting an aqueous solution precipitation method. These nanocrystals have been studied using X-ray diffraction (XRD), X-ray fluorescence (XRF), optical absorbance, photoluminescence (PL), DC electrical conductivity measurements and positron annihilation lifetime spectroscopy (PALS). The system has been found to be in the hexagonal phase. PL spectra have been studied on most prominent exciton peaks within the wavelength range (586–731 nm). The emission intensity is found to increase on increasing Mn²⁺ ion concentration (0–5%). Electrical conductivity lies within 0.819×10⁻⁶ to 1.69×10⁻⁶ Ω⁻¹ m⁻¹ and the system shows power law dependence for n=3–3.77. The Cd vacancies concentration has been found to decrease on increasing Mn%.     

A representation of the characteristic function of a stable probability measure on certain TV spaces

In this paper, a Lévy-Khintchine type representation of the characteristic function of a K-regular stable probability measure on real locally convex topological vector spaces, satisfying certain conditions, is presented.