Group Self-Similar Stable Processes in R d

Group self-similar processes are introduced. The spectral representation of such processes in the class of multidimensional strictly stable processes is determined. The uniqueness of such representations in terms of the corresponding group actions and cocycles is established.     

Charged and neutral NO3 isomers from the ionization of NOx and O3 mixtures

Mass spectrometric techniques have been utilized in conjunction with theoretical methods to detect and characterize new species formed upon ionization of gaseous mixtures containing ozone and an NOx oxide. NO5+ as well as isomeric NO4+ and NO3+ ions have been identified. Moreover, utilization of neutralization reionization mass spectrometry (NRMS) has provided strong evidence for, if not a conclusive demonstration of, the existence of a new NO3 isomer, in addition to the long-known trigonal radical, as a gaseous species with a lifetime in excess of approximately 1 microsecond.     

The Oxidation of Sulfur Dioxide by Single and Double Oxygen Transfer Paths

The oxidation of SO₂ by nonmetal oxoanions in the gas phase is investigated in an experimental and theoretical study of the structure of the species involved and the reaction kinetics and mechanism. SO₃, SO₃^.? and SO₄^.? are efficiently produced by reaction of O_nXO^? anions (X=Cl, Br, and I; n=0 and 1) with SO₂; XO^? ions mainly react to give SO₃ by oxygen‐atom transfer, whereas OXO^? ions mainly give SO₃^.? by oxygen‐anion transfer. On descending the halogen group from chlorine to iodine, the SO₃/SO₃^.? ratio decreases and increases for reactions involving XO^? and OXO^? anions, respectively, whereas the formation of SO₄^.? is particularly significant with OIO^?. Kinetic factors play a major role in the reactions of O_nXO^?, depending on the halogen atom and its oxidation state.     

Peptide Conjugates for Directing the Morphology and Assembly of 1D Nanoparticle Superstructures

Designed peptide conjugates molecules are used to direct the synthesis and assembly of gold nanoparticles into complex 1D nanoparticle superstructures with various morphologies. Four peptide conjugates, each based on the gold‐binding peptide (AYSSGAPPMPPF; PEP_Au), are prepared: C₁₂H₂₃O‐AYSSGAPPMPP ( 1 ), C₁₂H₂₃O‐AYSSGAPPMPPF ( 2 ), C₁₂H₂₃O‐AYSSGAPPMPPFF ( 3 ), and C₁₂H₂₃O‐AYSSGAPPMPPFFF ( 4 ). The affect that C‐terminal hydrophobic F residues have on both the soft‐assembly of the peptide conjugates and the resulting assembly of gold nanoparticle superstructures is examined. It is shown that the addition of two C‐terminal F residues ( 3 ) leads to thick, branched 1D gold nanoparticle superstructures, whereas the addition of three C‐terminal F residues ( 4 ) leads to bundling of thin 1D nanoparticle superstructures.     

Type G Distributions on {\mathbb{R}} d

This paper presents a systematic study of the class of multivariate distributions obtained by a Gaussian randomization of jumps of a Lévy process. This class, called the class of type G distributions, constitutes a closed convolution semigroup of the family of symmetric infinitely divisible probability measures. Spectral form of Lévy measures of type G distributions is obtained and it is shown that type G property can not be determined by one dimensional projections. Conditionally Gaussian structure of type G random vectors is exhibited via series representations.