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Title: Iteració de funcions holomorfes del pla complex
Author: Casellas La Rosa, Pol
Director/Tutor: Fagella Rabionet, Núria
Keywords: Sistemes dinàmics complexos
Treballs de fi de grau
Superfícies de Riemann
Geometria conforme
Complex dynamical systems
Bachelor's thesis
Riemann surfaces
Conformal geometry
Issue Date: 29-Jun-2017
Abstract: [en] Riemann theorem and its applications in the complex dynamic systems are studied in this final degree project. In this work we will prove that the complementary of Julia set together with the complementary of Mandelbrot set are conformally equivalent with the external of the unitary disc. Although the boundary of these sets is highly fractal, using the function dynamics, we are going to express practically in an explicit way the Riemann conformal map.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Núria Fagella Rabionet
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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