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memoria.pdf (1.15 MB)

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Bachelor thesis

Publication date

2017-06-29

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cc-by-nc-nd (c) Pol Casellas La Rosa, 2017
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/121678

Iteració de funcions holomorfes del pla complex

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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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Núria Fagella Rabionet

Subject

Sistemes dinàmics complexos, Treballs de fi de grau, Superfícies de Riemann, Geometria conforme

Subject (English)

Complex dynamical systems, Bachelor's theses, Riemann surfaces, Conformal geometry

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

CASELLAS LA ROSA, Pol. Iteració de funcions holomorfes del pla complex. [consulted: 16 of June of 2026]. Available at: https://hdl.handle.net/2445/121678

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