Adaptive Martingale Approximations

H-systems are those orthonormal systems which allow computation of conditional expectations via a Fourier expansion. These systems provide natural approximations to continuous stochastic processes and we indicate how they could be used to perform lossy compression on a set of given signals. More specifically, we show how to construct, for a given random variable, an adaptive martingale approximation by means of generalized Haar functions. We also indicate how the construction can be extended to a given random vector. A generalized multiresolution analysis algorithm is also described and numerical examples are provided.     

An FDTD approach to the simulation of quantum-well infrared photodetectors

A Finite Difference Time Domain approach is used to design and to optimize quantum-well based infrared photodetectors. Results showing the influence of some parameters on the performance of these devices are presented and discussed.     

Ľimmaginarioi ed i numeri alternatii,j, k nello studio delle deformazioni infinitesime delle curve piane e delle curve storte

Rendiconti del Circolo Matematico di Palermo Series 1 -     

Poly(vinylpyrrolidone)‐based films grown on copper surfaces

The influence of molecular weight and the amount of the poly(vinylpyrrolidone) (PVP) on the growth of poly(vinylpyrrolidone)–based films on copper surfaces was studied by electrochemical, infrared and electronic spectroscopy, and thermogravimetric methods. Complex polymer/metal ions were deposited onto a copper surface, as the result of the electrochemically generated reaction of copper cations with PVP and SCN^?, in sulfuric acid media. Spontaneous film growth on copper surfaces was generated and characterized as a Cu(II)/PVP/SCN^? complex. Infrared spectra and thermal gravimetric curves of the films generated at + 0.7 V were compared with the chemically synthesized complex, and show the same patterns. The oxidation process can be described as: Cu(0)→Cu(I) and Cu(I)→Cu(II), and the copper complex formed at more positive potentials was characterized as Cu(II)/PVP/SCN^?, with copper bonded to the oxygen atom of PVP and thiocyanate ligand N‐linked. This study focuses on the complex formation on a copper surface in acid media and its characterization through electrochemical and spontaneously generated reactions. © 2009 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 47: 2206–2214, 2009     

Voltammetric analysis of Pb(II) in natural waters using a carbon paste electrode modified with 5-mercapto-1-methyltetrazol grafted on hexagonal mesoporous silica

A hexagonal mesoporous silica (HMS) functionalized with a 5-mercapto-1-methyltetrazole derivative was employed to prepare a chemically modified carbon paste electrode for Pb(II) detection in aqueous solution by square wave adsorptive stripping voltammetry. The optimal operating conditions were 5 min preconcentration time at pH 6.5, and 120 s electrolysis time in 0.2 mol L^?1 HCl. Under these conditions, the voltammetric signal increased linearly with the preconcentration time in the range 1 to 10 min and with the Pb(II) concentration in the range 1 to 100?µg L^?1. The electrode was reproducible and sensitive. Simultaneous determination of Pb, Cd and Cu was also carried out with the electrode. The accuracy of the method was validated by analysing Pb(II) in tap water and groundwater samples.     

Label-free voltammetric immunosensor using a nanoporous membrane based platform

A novel device and methodology for the rapid and simple label-free electrochemical detection of proteins based on screen-printed carbon electrodes (SPCEs) modified with nanoporous Al₂O₃ membranes is reported. The nanoporous membranes are functionalized with antibodies and followed by the immunorecognition event that gives rise to the pore blocking. The blockage inside the nanochannels is fast, pore size dependent and easy to be detected by measuring the decrease in the differential pulse voltammetric (DPV) peak current of the [Fe(CN₆)]^4?/3? redox specie used as indicator. The developed nanoporous membrane based device represents a simple biodetection alternative that can be extended in the future to several other immuno and DNA detection systems.     

Nanoparticle based enhancement of electrochemical DNA hybridization signal using nanoporous electrodes

A novel nanoparticle-based enhanced methodology for the detection of ssDNA using nanoporous alumina filter membranes, containing pores of 200 nm in diameter, is reported. The blockage of the pores due to the hybridization is detected by measuring the decrease in the differential pulse voltammetric response of the [Fe(CN)(6)](4-/3-) redox indicator and using screen-printed carbon electrodes as transducing platform. Furthermore, 20 nm gold nanoparticle (AuNPs) tags are used in order to increase the sensitivity of the assay. The enhancement mechanism of DNA detection is due to an additional blocking effect induced by hybridization reaction by bringing AuNPs inside the pores. The developed methodology can be extended to other biosensing systems with interest not only for DNA but also for proteins and cells. The developed nanochannel/nanoparticle biosensing system would have enormous potential in future miniaturized designs adapted to mass production technologies such as screen-printing technology.     

Mixing-induced spontaneous supersymmetry breaking

It is conjectured that flavor mixing furnishes a universal mechanism for the spontaneous breaking of supersymmetry. The conjecture is proved explicitly for the mixing of two chiral N=1 supermultiplets and arguments for its general validity are given. That is an instance of the O?Raifeartaigh Lagrangian for which there is no tree-level nor perturbative breaking. Nonetheless, the dynamical breaking occurs due to the vacuum condensate, a mixing-induced nonperturbative effect that lifts the zero point energy.