472 research outputs found

    Fesenko reciprocity map

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    In recent papers, Fesenko has defined the non-Abelian local reciprocity map for every totally ramified arithmetically profinite (APF) Galois extension of a given local field K, by extending the work of Hazewinkel and Neukirch-Iwasawa. The theory of Fesenko extends the previous non-Abelian generalizations of local class field theory given by Koch-de Shalit, and by A. Gurevich. In this paper, which is research-expository in nature, we give a detailed account of Fesenko's work, including all the skipped proofs

    Some phonetic problems of a public address in english

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    Fesenko E. A. Some phonetic problems of a public address in english [Электронный ресурс] / Fesenko E. A.// Язык как инструмент понимания и непонимания : русско-американские лингвистические и культурные сопоставления : материалы Междунар. науч.-практ. конф., РГГУ (Москва), 26-27 февр. 2008 г. - Москва : РГГУ, 2008. - С. 237-244

    Some phonetic problems of a public address in english

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    Fesenko E. A. Some phonetic problems of a public address in english [Электронный ресурс] / Fesenko E. A.// Язык как инструмент понимания и непонимания : русско-американские лингвистические и культурные сопоставления : материалы Междунар. науч.-практ. конф., РГГУ (Москва), 26-27 февр. 2008 г. - Москва : РГГУ, 2008. - С. 237-244

    Cell adhesion in the preimplantation mammalian embryo and its role in trophectoderm differentiation and blastocyst morphogenesis

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    Cell adhesion plays a critical role in the differentiation of the trophectoderm epithelium and the morphogenesis of the blastocyst. In the mouse embryo, E-cadherin mediated adhesion initiates at compaction at the 8-cell stage, regulated post-translationally via protein kinase C and other signalling molecules. E-cadherin adhesion organises epithelial polarisation of blastomeres at compaction. Subsequently, the proteins of the epithelial tight junction are expressed and assemble at the apicolateral contact region between outer blastomeres in three phases, culminating at the 32-cell stage when blastocoel cavitation begins. Cell adhesion events also coordinate the cellular allocation and spatial segregation of the inner cell mass (ICM) of the blastocyst, and the maintenance of epithelial (trophectoderm) and non-epithelial (ICM) phenotypes during early morphogenesis

    The Field of Norms Functor and the Hilbert Symbol

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    The classical Hilbert symbol of a higher local field FF containing a primitive pMp^M-th root of unity ζM\zeta_M is a pairing F/(F)pM×KN(F)/pMμpMF^*/(F^*)^{p^M}\times K_N(F)/p^M \to \mu_{p^M}, describing Kummer extensions of exponent pMp^M. In this thesis we define a generalised Hilbert symbol and prove a formula for it. Our approach has several ingredients. The field of norms functor of Scholl associates to any strictly deeply ramified tower F.F_. a field F¸\c F of characteristic pp. Separable extensions of F\cal F correspond functorially to extensions of F.F_., giving rise to ΓFΓFΓF\Gamma_{\cal F}\cong \Gamma_{F_{\infty}}\subset \Gamma_F. We define morphisms NF/Fn:KNt(F)/pMKNt(Fn)/pM\cal N_{\cal F/F_n}: K_N^t(\cal F)/p^M \to K_N^t(F_n)/p^M which are compatible with the norms NFn+m/FnN_{F_{n+m}/F_n} for every mm. Using these, we show that field of norms functor commutes with the reciprocity maps ΨF:KNt(F)ΓFab\Psi_{\cal F}: K_N^t(\cal F) \to \Gamma_{\cal F}^{ab} and ΨFn:KNt(Fn)ΓFnab\Psi_{F_n}: K_N^t(F_n) \to \Gamma_{F_n}^{ab} constructed by Fesenko. Imitating Fontaine's approach, we obtain an invariant form of Parshin's formula for the Witt pairing in characteristic pp. The `main lemma' relates Kummer extensions of FF and Witt extensions of F\cal F, allowing us to derive a formula for the generalised Hilbert symbol F^×KN(F)μpM\hat F_{\infty}^* \times K_N(\cal F) \to \mu_{p^M}, where F^\hat F_{\infty} is the pp-adic completion of limnFn\varinjlim_n F_n

    Micromagnetic modelling of magnetic domain walls and domains in cylindrical nanowires.

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    Fernandez-Roldan, J. A., Ivanov, Y. P., & Chubykalo-Fesenko, O. (2019). Micromagnetic modelling of magnetic domain walls and domains in cylindrical nanowires. arXiv preprint arXiv:1907.02318.[EN] Magnetic cylindrical nanowires are very fascinating objects where the curved geometry allows many novel magnetic effects and a variety of non-trivial magnetic structures. Micromagnetic modelling plays an important role in revealing the magnetization distribution in magnetic nanowires, often not accessible by imaging methods with sufficient details. Here we review the magnetic properties of the shape anisotropy-dominated nanowires and the nanowires with competing shape and magnetocrystalline anisotropies, as revealed by micromagnetic modelling. We discuss the variety of magnetic walls and magnetic domains reported by micromagnetic simulations in cylindrical nanowires. The most known domain walls types are the transverse and vortex (Bloch point) domain walls and the transition between them is materials and nanowire diameter dependent. Importantly, the field or current-driven domain walls in cylindrical nanowires can achieve very high velocities. In recent simulations of nanowires with larger diameter the skyrmion tubes are also reported. In nanowires with large saturation magnetization the core of these tubes may form a helicoidal (“corkscrew”) structure. The topology of the skyrmion tubes play an important role in the pinning mechanism, discussed here on the example of FeCo modulated nanowires. Other discussed examples include the influence of antinotches (“bamboo” nanowires) on the remanent magnetization configurations for hcp Co and FeCo nanowires and Co/Ni multisegmented nanowires.Peer reviewe

    Assembly of tight junctions during early vertebrate development

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    Tight junction formation during development is critical for embryonic patterning and organization. We consider mechanisms of junction biogenesis in cleaving mouse and Xenopus eggs. Junction assembly follows the establishment of cell polarity at 8-cell (mouse) or 2-cell (Xenopus) stages, characterized by sequential membrane delivery of constituents, coordinated by embryonic (mouse) or maternal (Xenopus) expression programmes. Cadherin adhesion is permissive for tight junction construction only in the mouse. Occludin post-translational modification and membrane delivery, mediated by delayed ZO-1 alpha+isoform expression in the mouse, provides a mechanism for completion of tight junction biogenesis and sealing, regulating the timing of blastocoel cavitation

    LLB MACRO-SPIN MODELLING OF NANOGRANULAR L1o FePt HIGH ANISOTROPY THIN FILMS

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    New recording media and recording methods are required if magnetic data storage is to continue the historic growth seen in the areal density, beyond the level currently imposed by the superparamagnetic limit. High anisotropy nano-granular L1o FePt thin films are currently being studied as a proposed material capable of continuing the exponential growth in areal density. FePt is so successful at maintaining a permanent magnetisation, that no applicable magnetic field is capable of reversing the magnetisation, as in the recording process. Heat assisted magnetic recording is a proposed method of lowering the anisotropy, of the high anisotropy recording media, to a level that can be recorded in. In this thesis a nano-granular high anisotropy FePt thin film is modelled using the newly developed Landau-Lifshit-Bloch equation (to model the dynamic motion if the magnetisation) combined with a voronoi construction. The HAMR process is described over a range of maximum temperatures and modelled thin films of increasing anisotropy. It is shown that a 12000Oe applied field and a maximum temperature of Tc are required to reverse the magnetisation to the desired level. The model is used to demonstrate the lowering of the anisotropy field at elevated temperatures, allowing relatively low applied fields to set the magnetisation. The LLB equation also recovers the newly discovered fast acting linear reversal mode, at temperatures close to the Curie point

    E-Government development strategies in the Eastern Partnership countries

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    The article aims to outline the role of e-democracy within the setting of the Eastern Partnership program. The article provides the comparative review of E-Government progress in six EaP countries in 2009 – 2016. The E-Government sensitive data of international ratings is analyzed with the special focus on participative aspects. The existing differences of E-Government strategies between the Eastern Partnerships countries are analyzed with the special focus on e-participate. The e-participate differences in the development of the countries are pointed out in terms of e-democracy development. The cognitive model of integrating e-democracy components into the socio-technical system of e-government is proposed. Article DOI : 10.5958/2347-6869.2017.00007.

    E-Government development strategies in the Eastern Partnership countries

    No full text
    The article aims to outline the role of e-democracy within the setting of the Eastern Partnership program. The article provides the comparative review of E-Government progress in six EaP countries in 2009 – 2016. The E-Government sensitive data of international ratings is analyzed with the special focus on participative aspects. The existing differences of E-Government strategies between the Eastern Partnerships countries are analyzed with the special focus on e-participate. The e-participate differences in the development of the countries are pointed out in terms of e-democracy development. The cognitive model of integrating e-democracy components into the socio-technical system of e-government is proposed. DOI:10.5958/2347-6869.2017.00007.
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