Lectures related to Fractals and Strange Attractors

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Covers the definition and properties of Markov chains, including transition matrix and examples.

Covers the properties of the Lebesgue measure and its existence.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.