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Bachelor thesis

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memòria: cc-nc-nd (c) Rubén Blanco Borrás, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/186227

La dinàmica dels polinomis complexos: The escaping set

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[en] In this project we study the dynamics of complex polynomials, leading towards an efficient algorithm to draw the relevant fractal objects that appear. First, we begin with a series of preliminary concepts necessary to be able to understand the properties of local and global theory, and then analyze the particular properties of polynomials. From here, we will delve into the quadratic family, specifically the Mandelbrot set. We develop Python code to visualize different sets of complex dynamics and see how the escaping and density algorithms work.

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Treballs Finals de Grau d'Enginyeria Informàtica, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Núria Fagella Rabionet

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BLANCO BORRÁS, Rubén. La dinàmica dels polinomis complexos: The escaping set. [consulted: 13 of August of 2026]. Available at: https://hdl.handle.net/2445/186227

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