Romanian Academy

About: Romanian Academy is a archive organization based out in Bucharest, Romania. It is known for research contribution in the topics: Population & Nonlinear system. The organization has 3662 authors who have published 10491 publications receiving 146447 citations. The organization is also known as: Academia Română & Societatea Literară Română.

A note on regularity for free convolutions

Abstract: Let μ ⊞ ν and μ ⊠ ν denote the free additive convolution and the free multiplicative convolution, respectively, of the Borel probability measures μ and ν. We analyze the boundary behavior of the functions G μ ⊞ ν ( z ) = ∫ 1 z − t d ( μ ⊞ ν ) ( t ) and ψ μ ⊠ ν ( z ) = ∫ z t 1 − z t d ( μ ⊠ ν ) ( t ) . We prove that, under certain conditions, these functions extend continuously to the boundary of their natural domains as functions with values in the extended complex plane C ∪ { ∞ } . As a consequence, we obtain that μ ⊞ ν (respectively μ ⊠ ν ) can never be purely singular, unless μ or ν is concentrated in one point.

The characteristic function of a complex symmetric contraction

Abstract: It is shown that a contraction on a Hilbert space is complex sym- metric if and only if the values of its characteristic function are all symmetric with respect to a fixed conjugation. Applications are given to the description of complex symmetric contractions with defect indices equal to 2.

Modified wound dressing with phyto-nanostructured coating to prevent staphylococcal and pseudomonal biofilm development

Abstract: This paper reports a newly fabricated nanophyto-modified wound dressing with microbicidal and anti-adherence properties. Nanofluid-based magnetite doped with eugenol or limonene was used to fabricate modified wound dressings. Nanostructure coated materials were characterized by TEM, XRD, and FT-IR. For the quantitative measurement of biofilm-embedded microbial cells, a culture-based method for viable cell count was used. The optimized textile dressing samples proved to be more resistant to staphylococcal and pseudomonal colonization and biofilm formation compared to the uncoated controls. The functionalized surfaces for wound dressing seems to be a very useful tool for the prevention of wound microbial contamination on viable tissues.

Monte Carlo Method in Risk Analysis for Investment Projects

Abstract: Risk assessment for environmental projects consists of studying the probability that projects will achieve a satisfactory performance for threshold - values of internal rate of return (IRR) or net present value (NPV). Risk analysis identifies and estimates risks and their level as well as measures considered to mitigate their negative impact. Quantitative risk analysis is performed for estimating the risk of the project by numeric resources. Monte Carlo simulation method can be widely applied in this area due to the advantages recognized both by practitioners and the academic community. By using this method, the distribution of all possible outcomes of an event is generated by analyzing a model several times, each time using random input values selected from the probability distributions considered normal of the components that comprise the model.