Fractal geometry: an introduction

• Grant number: 19/27575-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2020
• End date: December 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Márcio Ricardo Alves Gouveia
• Grantee: Mayara Cristina Teixeira
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

In this project we intend to start studies on interesting mathematical objects called fractals. We will study its formation processes and its dynamic behaviors, some of its properties such as Hausdorff dimension. Finally, we will try to understand a little bit about Julia and Mandelbrot sets and some properties that they present. (AU)