This undergraduate research project is an introduction to Dynamical Systems through symbolic dynamics. The student will get in touch to the basic concepts of the area, he will study some of the main toy models such as Bernoulli Shifts (and subshifts), expansive endomorphism on the torus and the Smale Horseshoe. On a second part of the project the student has to understand the dynamics of these toy models by conjugating them with its symbolic dynamics. These themes are classic and involve different fields of mathematics.
News published in Agência FAPESP Newsletter about the scholarship: