Moscow State University

About: Moscow State University is a education organization based out in Moscow, Russia. It is known for research contribution in the topics: Catalysis & Laser. The organization has 66747 authors who have published 123358 publications receiving 1753995 citations. The organization is also known as: MSU & Lomonosov Moscow State University.

Differentiable Measures and the Malliavin Calculus

Abstract: This book provides the reader with the principal concepts and results related to differential properties of measures on infinite dimensional spaces. In the finite dimensional case such properties are described in terms of densities of measures with respect to Lebesgue measure. In the infinite dimensional case new phenomena arise. For the first time a detailed account is given of the theory of differentiable measures, initiated by S. V. Fomin in the 1960s; since then the method has found many various important applications. Differentiable properties are described for diverse concrete classes of measures arising in applications, for example, Gaussian, convex, stable, Gibbsian, and for distributions of random processes. Sobolev classes for measures on finite and infinite dimensional spaces are discussed in detail. Finally, we present the main ideas and results of the Malliavin calculus--a powerful method to study smoothness properties of the distributions of nonlinear functionals on infinite dimensional spaces with measures. The target readership includes mathematicians and physicists whose research is related to measures on infinite dimensional spaces, distributions of random processes, and differential equations in infinite dimensional spaces. The book includes an extensive bibliography on the subject. Table of Contents: Background material; Sobolev spaces on $\mathbb{R}^n$; Differentiable measures on linear spaces; Some classes of differentiable measures; Subspaces of differentiability of measures; Integration by parts and logarithmic derivatives; Logarithmic gradients; Sobolev classes on infinite dimensional spaces; The Malliavin calculus; Infinite dimensional transformations; Measures on manifolds; Applications; References; Subject index. (Surv/164)

Prussian Blue-based `artificial peroxidase' as a transducer for hydrogen peroxide detection. Application to biosensors

Abstract: The present investigation of a novel electrochemical transducer is defined by the requirements of the one of the most significant fields of modern analytical biotechnology, i.e., electrochemical biosensors. Prussian Blue, which has been deposited on the surface of glassy carbon electrode under certain conditions, was found to be a selective electrocatalyst for H 2 O 2 reduction in the presence of O 2 . In its reduced form (Prussian White) the inorganic polycrystal is known to be partially soluble in aqueous solution. To stabilize the electrocatalyst at cathodic potentials and preventing loss from the electrode surface, an independent investigation was performed. As a result, a completely stable electrocatalyst was achieved. The kinetics of H 2 O 2 reduction onto the surface of Prussian Blue modified electrodes was investigated. Due to the high catalytic activity and selectivity which were comparative with biocatalysis, the specially deposited Prussian Blue was denoted as `artificial peroxidase'. The biosensors were made by enzyme immobilization on the top of the Prussian Blue modified electrodes. The electrochemical transducer and biosensors were suitable for detection of low analyte levels and were practically independent of potentially interfering reductants.

Search for resonances and quantum black holes using dijet mass spectra in proton-proton collisions at s =8TeV

Abstract: A search for resonances and quantum black holes is performed using the dijet mass spectra measured in proton-proton collisions at s√=8 TeV with the CMS detector at the LHC. The data set corresponds to an integrated luminosity of 19.7 fb^(−1). In a search for narrow resonances that couple to quark-quark, quark-gluon, or gluon-gluon pairs, model-independent upper limits, at 95% confidence level, are obtained on the production cross section of resonances, with masses above 1.2 TeV. When interpreted in the context of specific models the limits exclude string resonances with masses below 5.0 TeV; excited quarks below 3.5 TeV; scalar diquarks below 4.7 TeV; W′ bosons below 1.9 TeV or between 2.0 and 2.2 TeV; Z′ bosons below 1.7 TeV; and Randall-Sundrum gravitons below 1.6 TeV. A separate search is conducted for narrow resonances that decay to final states including b quarks. The first exclusion limit is set for excited b quarks, with a lower mass limit between 1.2 and 1.6 TeV depending on their decay properties. Searches are also carried out for wide resonances, assuming for the first time width-to-mass ratios up to 30%, and for quantum black holes with a range of model parameters. The wide resonance search excludes axigluons and colorons with mass below 3.6 TeV, and color-octet scalars with mass below 2.5 TeV. Lower bounds between 5.0 and 6.3 TeV are set on the masses of quantum black holes.