460 research outputs found
Conley index theory and Novikov-Morse theory
No full textWe derive general Novikov-Morse type inequalities in a Conley type framework for flows carrying cocycles, therefore generalizing our results in [FJ2] derived for integral cocycle. The condition of carrying a cocycle expresses the nontriviality of integrals of that cocycle on flow lines. Gradient-like flows are distinguished from general flows carrying a cocycle by boundedness conditions on these integrals.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000241377000011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Mathematics, AppliedMathematicsSCI(E)1ARTICLE4939-971
The Cauchy problem for the integrable Novikov equation
No full textAbstractIn this paper we consider the Cauchy problem for the integrable Novikov equation. By using the Littlewood–Paley decomposition and nonhomogeneous Besov spaces, we prove that the Cauchy problem for the integrable Novikov equation is locally well-posed in the Besov space Bp,rs with 1⩽p,r⩽+∞ and s>max{1+1p,32}. In particular, when u0∈Bp,rs∩H1 with 1⩽p,r⩽+∞ and s>max{1+1p,32}, for all t∈[0,T], we have that ‖u(t)‖H1=‖u0‖H1. We also prove that the local well-posedness of the Cauchy problem for the Novikov equation fails in B2,∞3/2
Krichever-Novikov type algebras. Theory and Applications
No full textKrichever and Novikov introduced certain classes of infinite dimensionalLie algebrasto extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them toa more general setting needed by the applications. Examples of applications are Conformal Field Theory, Wess-Zumino-Novikov-Witten models, moduli space problems, integrable systems, Lax operator algebras, and deformation theory of Lie algebra. Furthermore they constitute an important class of infinite dimensional Lie algebras which due to their geometric origin ar
Krichever-Novikov type algebras. An Introduction
No full textKrichever--Novikov type algebras are generalizations of the Witt,
Virasoro, affine Lie algebras, and their relatives to Riemann
surfaces of arbitrary genus.
We give the most important results about their structure,
almost-grading and central extensions.
This contribution is based on a sequence of
introductory lectures delivered by the
author
at the
Southeast Lie Theory Workshop 2012 in Charleston, U.S.A
Novikov Mikhail Leont'evich in the memories of the candidate of technical sciences Yakovlev A.S.
No full textСтатья посвящена 100-летию со дня рождения доктора технических наук, профессора М.Л. Новикова, создателя круговинтовой системы зацепления. Автор, который лично знал М.Л. Новикова, вспоминает о встречах с ним, анализирует достижения и проблемы в области внедрения передач Новикова. Рассмотрен вклад в развитие зацепления М.Л. Новикова ведущих советских ученых-"зубчатников", продолживших исследования после его кончины. Также кратко рассмотрена возможность образования передачи М.Л. Новикова классическими методами Виллиса и Оливье.The article is devoted to the 100th anniversary of the birth of Doctor of Technical Sciences, Professor M.L. Novikov, founder of circular-helical gearing system. The author, who personally knew M.L. Novikov, recalls his meetings with them, analyze the achievements and challenges in implementing of Novikov gears. Considered part in the development of M.L. Novikov gearing by leading Soviet scientists who continued to study after his death: A.I. Petrusevich, V.A. Gavrilenko, V.N. Kudryavtsev, R.V. Fedyakin
and V.A. Chesnokov, E.G. Roslivker, V.I. Korotkin and others. Also briefly discussed the possibility of forming M.L. Novikov gearing by classical methods Willis and Olivier. This proposal by G.G. Baranov – to form tooth profiles used in the Olivier method two incongruent curves with the inner point touch; proposal by Y.S. Davydov – used for the same purpose incongruent producing pairs. The author also shows that the cylindrical gear pair with a point mesh may be created of a single basic rack by Olivier (Camus) method
Transformations of respiratory epitelium in fibrous stage of acute respiratory distress-syndrome = Трансформация респираторного эпителия в фазу фиброза острого респираторного дистресс-синдрома
No full textNovikov Nikolay, Tumansky Valery, Fedotov Vasiliy. transformations of respiratory epitelium in fibrous stage of acute respiratory distress-syndrome = Трансформация респираторного эпителия в фазу фиброза острого респираторного дистресс-синдрома. Journal of Health Sciences. 2014;4(14):117-120. ISSN 1429-9623 / 2300-665X.
http://ojs.ukw.edu.pl/index.php/johs/article/view/2014%3B4%2814%29%3A117-120
http://journal.rsw.edu.pl/index.php/JHS/article/view/2014%3B4%2814%29%3A117-120
https://pbn.nauka.gov.pl/works/512256
DOI: 10.5281/zenodo.13322
http://dx.doi.org/10.5281/zenodo.13322
The journal has had 5 points in Ministry of Science and Higher Education of Poland parametric evaluation. Part B item 1107. (17.12.2013).
© The Author (s) 2014;
This article is published with open access at Licensee Open Journal Systems of Radom University in Radom, Poland
Open Access. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium,
provided the original author(s) and source are credited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License
(http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited.
This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, non commercial
use, distribution and reproduction in any medium, provided the work is properly cited.
Conflict of interest: None declared. Received: 15.11.2014. Revised 05.12.2014. Accepted: 10.12.2014.
transformations of respirAtory epitelium in fibrous stage of acute respiraTory distress-syndrome
Трансформация респираторного эпителия в фазу фиброза острого респираторного дистресс-синдрома
Nikolay Yu Novikov
Crimean State Medical University, Simferopol, Russian Federation
Valery Alexeevich Tumansky
Zaporozhye State Medical University, Ukraine
Vasiliy Vladimirovich Fedotov
Crimean State Medical University, Simferopol, Russian Federation
Corr. Author
Новиков Николай Юльевич
докт. мед. наук, доцент ГУ «КГМУ имени С.И.Георгиевского», РФ, г. Симферополь
Е-mail: [email protected]
Трансформация респираторного эпителия в фазу фиброза острого респираторного дистресс-синдрома
АННОТАЦИЯ
Цель. Определение признаков эпителиально-мезенхимальной трансформации (ЭМТ) для установления ее роли в развитии фиброза легких у пациентов с острым респираторным дистресс-синдромом. Метод. Иммуногистохимическое окрашивание гистологических срезов. Результат. В большинстве альвеолоцитов обнаруживается экспрессия маркеров эпителиального иммунофенотипа. Признаки мезенхимальной дифференцировки определяются в единичных альвеолоцитах. Вывод. ЭМТ не играет существенной роли в формировании фиброза респираторного отдела при ОРДС.
Ключевые слова: респираторный эпителий; легкие; дистресс-синдром.
transformations of respirAtory epitelium in fibrous stage of acute respiraTory distress-syndrome
ABSTRACT
The epithelial-mesenchimal transition of respiratory epithelium in Acute Respiratory Distress Syndrome (ARDS) was goal of investigation. Postmortem immunohistochemical stain of respiratory part histological sections was methods. Result: epithelial immunofenotype of epithelial cells was determinate in more cases. Conclusion. The epitelial-mesenchimal transition does not play main role to lungs fibrosis in ARDS.
Keywords: respiratory epitelium; lungs; distress-syndrome.Novikov Nikolay, Tumansky Valery, Fedotov Vasiliy. Transformations of respiratory epitelium in fibrous stage of acute respiratory distress-syndrome = Трансформация респираторного эпителия в фазу фиброза острого респираторного дистресс-синдрома. Journal of Health Sciences. 2014;4(14):117-120. ISSN 1429-9623 / 2300-665X.
http://ojs.ukw.edu.pl/index.php/johs/article/view/2014%3B4%2814%29%3A117-120
http://journal.rsw.edu.pl/index.php/JHS/article/view/2014%3B4%2814%29%3A117-120
https://pbn.nauka.gov.pl/works/512256
DOI: 10.5281/zenodo.13322
http://dx.doi.org/10.5281/zenodo.1332
Simple homotopy type of the Novikov complex and Lefschetz -function of the gradient flow
No full textAmslatex file, 54 pagesLet f be a Morse map from a closed manifold to a circle. S.P.Novikov constructed an analog of the Morse complex for f. The Novikov complex is a chain complex defined over the ring of Laurent power series with integral coefficients and finite negative part. This complex depends on the choice of a gradient-like vector field. The homotopy type of the Novikov complex is the same as the homotopy type of the completed complex of the simplicial chains of the cyclic covering associated to f. In the present paper we prove that for every C^0-generic f-gradient there is a homotopy equivalence between these two chain complexes, such that its torsion equals to the Lefschetz zeta-function of the gradient flow. For these gradients the Novikov complex is defined over the ring of rational functions and the Lefschetz zeta-function is also rational. The paper contains also a survey of Morse-Novikov theory and of the previous results of the author on the C^0-generic properties of the Novikov complex
Simple homotopy type of the Novikov complex and Lefschetz -function of the gradient flow
No full textAmslatex file, 54 pagesLet f be a Morse map from a closed manifold to a circle. S.P.Novikov constructed an analog of the Morse complex for f. The Novikov complex is a chain complex defined over the ring of Laurent power series with integral coefficients and finite negative part. This complex depends on the choice of a gradient-like vector field. The homotopy type of the Novikov complex is the same as the homotopy type of the completed complex of the simplicial chains of the cyclic covering associated to f. In the present paper we prove that for every C^0-generic f-gradient there is a homotopy equivalence between these two chain complexes, such that its torsion equals to the Lefschetz zeta-function of the gradient flow. For these gradients the Novikov complex is defined over the ring of rational functions and the Lefschetz zeta-function is also rational. The paper contains also a survey of Morse-Novikov theory and of the previous results of the author on the C^0-generic properties of the Novikov complex
Admissible Hom-Novikov-Poisson and Hom-Gelfand-Dorfman color Hom-algebras
No full textThe main feature of color Hom-algebras is that the identities defining the
structures are twisted by even linear maps. The purpose of this paper is to
introduce and give some constructions of admissible Hom-Novikov-Poisson color
Hom-algebras and Hom-Gelfand-Dorfman color Hom-algebras. Their bimodules and
matched pairs are defined and the relevant properties and theorems are given.
Also, the connections between Hom-Novikov-Poisson color Hom-algebras and
Hom-Gelfand-Dorfman color Hom-algebras is proved. Furthermore, we show that the
class of admissible Hom-Novikov-Poisson color Hom-algebras is closed under
tensor product.Comment: arXiv admin note: text overlap with arXiv:2106.03277; text overlap
with arXiv:1010.3410 by other author
Property A and affine buildings
No full textYu's Property A is a non-equivariant generalisation of amenability introduced in his study of the coarse Baum Connes conjecture. In this paper we show that all affine buildings of type A2, B2 and G2 have Property A. Together with results of Guentner, Higson and Weinberger, this completes a programme to show that all affine building have Property A. In passing we use our technique to obtain a new proof for groups acting on buildings.The author was supported by EPSRC postdoctoral fellowship EP/C53171X/1.<br/
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