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Sectorial normalization of tangent to the identity diffeomorphisms in dimension one.
dc.contributor.advisor | Carrillo Torres, Sergio Alejandro | spa |
dc.contributor.author | Merchán Olaya, Laura Natalia | spa |
dc.date.accessioned | 2021-09-20T15:47:16Z | spa |
dc.date.available | 2021-09-20T15:47:16Z | spa |
dc.date.created | 2021 | spa |
dc.date.issued | 2021-07 | spa |
dc.identifier.citation | Merchán Olaya, L. N. (2021). Sectorial normalization of tangent to the identity diffeomorphisms in dimension one. [Tesis de maestría]. Universidad Sergio Arboleda | spa |
dc.identifier.uri | http://hdl.handle.net/11232/1740 | eng |
dc.description.abstract | The 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.extent | 82 | spa |
dc.format.mimetype | application/pdf | eng |
dc.publisher | Universidad Sergio Arboleda | spa |
dc.rights | https://repository.usergioarboleda.edu.co/bitstream/id/91d0b0a7-f270-42b7-8e7d-65cd36d8559c/license.txt | eng |
dc.title | Sectorial normalization of tangent to the identity diffeomorphisms in dimension one. | eng |
dc.subject.lemb | Difeomorfismos | spa |
dc.subject.lemb | Topología diferencial | spa |
dc.subject.lemb | Convergencia | spa |
dc.subject.lemb | Matemáticas | spa |
dc.subject.lemb | Diffeomorphisms | eng |
dc.subject.lemb | Differential topology | eng |
dc.subject.lemb | Convergence | eng |
dc.subject.lemb | Mathematics | eng |
dc.publisher.program | Maestría en Matemáticas | spa |
dc.publisher.department | Escuela de Ciencias Exactas e Ingeniería | spa |
dc.relation.references | David Sauzin, Resurgent functions and splitting problems, arXiv preprint arXiv:0706.0137, 2007. | eng |
dc.relation.references | Elias M Stein and Rami Shakarchi, Complex analysis, vol. 2, Princeton University Press, 2010. | eng |
dc.relation.references | Eric W. Weisstein, Newton’s forward difference formula, From MathWorld - A Wolfram Web Resource. https://mathworld.wolfram.com/NewtonsForwardDifferenceFormula.html. | eng |
dc.relation.references | F Loray, Pseudo-groupe dune singularitté de feuilletage holomorphe en dimension deux, Leçons de Tordesillas (2006). | eng |
dc.relation.references | Henri Cartan, Elementary theory of analytic functions of one or several complex variables, Addison-Wesley Reading, MA, 1963. | eng |
dc.relation.references | J. Écalle, Théorie des invariants holomorphes, Ph.D. thesis, Publications Mathématiques d’Orsay, 1974. | eng |
dc.relation.references | Jean 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.references | John Milnor, Dynamics in one complex variable, Princeton University Press, 2006. | eng |
dc.relation.references | Lars V. Ahlfors, Introduction to the theory of analytic functions of one complex variable, 3rd ed., McGraw-Hill Education, 1979. | eng |
dc.relation.references | Lorena López-Hernanz, Existence and summability of invariant curves in complex dynamics in dimension two, Ph.D. thesis, Universidad de Valladolid, 2010. | eng |
dc.relation.references | Marco 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.references | Michle Loday-Richaud, Divergent series, summability and resurgence ii, LNM, vol. 2154, Springer International Publishing, 2016. | eng |
dc.relation.references | Patrick 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.references | Y. Ilyashenko and S. Yakovenko, Lectures on analytic differential equations, GTM, vol. 86, American Mathematical Society, 2008. | eng |
dc.type.coar | http://purl.org/coar/resource_type/c_bdcc | eng |
dc.type.local | Tesis/Trabajo de grado - Monografía - Maestría | eng |
dc.description.degreename | Magister en Matemáticas Aplicadas | spa |
dc.description.degreelevel | Maestría | spa |