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Sectorial normalization of tangent to the identity diffeomorphisms in dimension one.

dc.contributor.advisorCarrillo Torres, Sergio Alejandrospa
dc.contributor.authorMerchán Olaya, Laura Nataliaspa
dc.date.accessioned2021-09-20T15:47:16Zspa
dc.date.available2021-09-20T15:47:16Zspa
dc.date.created2021spa
dc.date.issued2021-07spa
dc.identifier.citationMerchán Olaya, L. N. (2021). Sectorial normalization of tangent to the identity diffeomorphisms in dimension one. [Tesis de maestría]. Universidad Sergio Arboledaspa
dc.identifier.urihttp://hdl.handle.net/11232/1740eng
dc.description.abstractThe aim of this work is to review the basics on local diffeomorphisms, both formaland holomorphic, in one complex dimension, focusing on the ones which are tangent to the identity. We include the study of the exponential map and ofnormal forms of holomorphic vector fields. In particular, we offer a new proof of the analyticity of the flow of such objects. On the other hand, we give a detailed proof of Leau-Fatou theorem, and two constructions of the solutionsof Abel’s equation related to the problem of conjugating such diffeomorphisms to translations.eng
dc.format.extent82spa
dc.format.mimetypeapplication/pdfeng
dc.publisherUniversidad Sergio Arboledaspa
dc.rightshttps://repository.usergioarboleda.edu.co/bitstream/id/91d0b0a7-f270-42b7-8e7d-65cd36d8559c/license.txteng
dc.titleSectorial normalization of tangent to the identity diffeomorphisms in dimension one.eng
dc.subject.lembDifeomorfismosspa
dc.subject.lembTopología diferencialspa
dc.subject.lembConvergenciaspa
dc.subject.lembMatemáticasspa
dc.subject.lembDiffeomorphismseng
dc.subject.lembDifferential topologyeng
dc.subject.lembConvergenceeng
dc.subject.lembMathematicseng
dc.publisher.programMaestría en Matemáticasspa
dc.publisher.departmentEscuela de Ciencias Exactas e Ingenieríaspa
dc.relation.referencesDavid Sauzin, Resurgent functions and splitting problems, arXiv preprint arXiv:0706.0137, 2007.eng
dc.relation.referencesElias M Stein and Rami Shakarchi, Complex analysis, vol. 2, Princeton University Press, 2010.eng
dc.relation.referencesEric W. Weisstein, Newton’s forward difference formula, From MathWorld - A Wolfram Web Resource. https://mathworld.wolfram.com/NewtonsForwardDifferenceFormula.html.eng
dc.relation.referencesF Loray, Pseudo-groupe dune singularitté de feuilletage holomorphe en dimension deux, Leçons de Tordesillas (2006).eng
dc.relation.referencesHenri Cartan, Elementary theory of analytic functions of one or several complex variables, Addison-Wesley Reading, MA, 1963.eng
dc.relation.referencesJ. Écalle, Théorie des invariants holomorphes, Ph.D. thesis, Publications Mathématiques d’Orsay, 1974.eng
dc.relation.referencesJean Martinet and Jean-Pierre Ramis, Classification analytique des équations différentielles non linéaires résonnantes du premier ordre, An nales scientifiques de l’É.N.S. 4e 16 serie (1983), no. 4, 571–621.eng
dc.relation.referencesJohn Milnor, Dynamics in one complex variable, Princeton University Press, 2006.eng
dc.relation.referencesLars V. Ahlfors, Introduction to the theory of analytic functions of one complex variable, 3rd ed., McGraw-Hill Education, 1979.eng
dc.relation.referencesLorena López-Hernanz, Existence and summability of invariant curves in complex dynamics in dimension two, Ph.D. thesis, Universidad de Valladolid, 2010.eng
dc.relation.referencesMarco Abate, Eric Bedford, Marco Brunella, Tien-Cuong Dinh, Dierk Schleicher, and Nessim Sibony, Holomorphic dynamical systems. discrete holomorphic local dynamical systems, 1 ed., LNM, Springer, Berlin, Heidelberg, 2010.eng
dc.relation.referencesMichle Loday-Richaud, Divergent series, summability and resurgence ii, LNM, vol. 2154, Springer International Publishing, 2016.eng
dc.relation.referencesPatrick Ahern and Jean-Pierre Rosay, Entire functions, in the classification of differentiable germs tangent to the identity, in one or two variables, Trans. Amer. Math. Soc. 347 (1995), no. 2, 543–572.eng
dc.relation.referencesY. Ilyashenko and S. Yakovenko, Lectures on analytic differential equations, GTM, vol. 86, American Mathematical Society, 2008.eng
dc.type.coarhttp://purl.org/coar/resource_type/c_bdcceng
dc.type.localTesis/Trabajo de grado - Monografía - Maestríaeng
dc.description.degreenameMagister en Matemáticas Aplicadasspa
dc.description.degreelevelMaestríaspa


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