| Biography | |
|---|---|
 Prof. Cristina Serpa Instituto Superior de Engenharia de Lisboa, Portugal |
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| Title: Fractal Modeling – A challenge of fitting real data with fractal functions | |
| Abstract: The goal of this talk is to give an overview of the method of Fractal Regression Method applied to real data. It will give some context on fractals, its concepts, the presence of fractal in nature, and how to measure Fractal Structures in scientific literature. The Mathematical Model of Fractal Functions gives the formalization to Fractal Regression Functions, and it is a challenge of numerical approximation. The software Fractal Real Finder solves the problem numerically. Some examples and references are given. | |
| Biography: Cristina Serpa is a portuguese professor at ISEL - Instituto Superior de Engenharia de Lisboa, and at Instituto Piaget, is an integrated researcher member of CMAFcIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional, and has a Phd in Mathematics by Faculdade de Ciências da Universidade de Lisboa, in Lisbon, Portugal. Her research interests are Fractals, Numerical Analysis, Functional Equations, and Dynamical Systems. Its recent work is on the Fractal Regression Model, with development of the software Fractal Real Finder and applications. The main achievement it to estimate the fractal structure of data by identifying its self-similarities. Its previous works are focusing on fundamental theoretical mathematics for fractal and chaotic functions, giving interconnections between different areas of mathematics. She works with a diversity of collaborators, from diverse countries and with multidisciplinary scientific profiles. She gives importance to work on applications from the pure mathematics to the applied areas. The applications may be from medicine, meteorology, materials, physics, corporative organization. She maintains the focus on Mathematical Analysis as basis for strong and effective Mathematical support for Applied Sciences. | |
