1,460 research outputs found
Impedance of Indium(III) HexacyanoferrateFilms: Effect of the Supporting-Electrolyte Cation
No full textCharacterizing Measures According to Their Radon-Nikodym Cocycles: Canonical Marked Gibbs Measures Under the Action of the Diffeomorphism Group
No full textKuna T, Goldin GA, Kondratiev Y, Silva JL. Characterizing Measures According to Their Radon-Nikodym Cocycles: Canonical Marked Gibbs Measures Under the Action of the Diffeomorphism Group. Ukrainian Mathematical Journal . 2025;77(4):603-645.Suppose that we have a canonical Gibbs measure mu defined on a marked configuration space Omega that describes a system of infinitely many indistinguishable particles with internal degrees of freedom together with a diffeomorphism group action on Omega. Then mu is quasiinvariant under the group action, and we obtain a class of associated cocycles from its Radon-Nikodym derivatives. The cocycles are defined up to mu-measure zero sets. We show that it is possible to choose a suitable pointwise-defined version beta of this cocycle. Further, we characterize all the measures on Omega that possess beta as their cocycle. If mu is obtained (e.g.) from a particular two-body potential V\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} (satisfying some mild regularity assumptions), then beta takes a certain explicit form, and the class of canonical Gibbs measures characterized by beta contains exactly the measures associated with the potential V\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}. Our result is based on the inheritance properties for the characterization by cocycles of Radon-Nikodym derivatives, which are proved for general G-spaces for local infinite-dimensional groups
Time dependent ecological model
No full textKolokoltsov V, Kondratiev Y. Time dependent ecological model . Interdisciplinary Studies of Complex Systems. 2022;(20):11-15.We study the asymptotic behaviour of an ecological model in the presence of a time dependent birth rate
Public-private substitution in higher education : has cost-sharing gone too far?
No full textThis paper looks at the current challenge facing higher education by exploring the historical relationship between higher education funding and long economic cycles in the UK, USA and France. It examines the consequence of the transformation of public-private income in higher education that followed the 1970s downturn, questioning whether the rise of private resources acted as additional or substitutive resources for public spending. The paper suggests that there is a risk that the cost-sharing strategy could be turned into a policy of public-private substitution of funding and provision, leading to a transfer rather than an increase of resources with strong implications on quality and equity. However, the Kondratiev cycle suggests an alternative route by designating the impact of the 1970s economic downturn on education as unique. Previous economic crises were contemporary of accelerations of public funding towards education which in fact contributed to economic recovery. The current crisis could represent an opportunity to revive counter-cyclical policy by looking not only at efficient public spending but also at developing fairer taxation. A revival of public funding complemented by an additional rather than substitutive diversification of income would rebalance the public-private structure of funding and drive a sustainable higher education system capable of playing a key part in these counter-cyclical transformations
Cyclic Voltammetry andImpedance Spectroscopy Electrodes, Modified by Indium(III) Hexacyanoferrate Films.
No full textOn the metrical properties of the configuration space
No full textKondratiev Y, Kutoviy OV. On the metrical properties of the configuration space. MATHEMATISCHE NACHRICHTEN. 2006;279(7):774-783.We study some topological and metrical properties of configuration spaces. In particular, we introduce a family of metrics on the configuration space Gamma, which makes it a Polish space. Compact functions on Gamma are also considered. (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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