Aim of the class is to introduce the tools of this theory in a constructive way, so to facilitate its usage in practical applications, as well as in the teaching experiments in high school.
Course Prerequisites
measure theory, ordinary differential equations
Teaching Methods
classroom teaching
Assessment Methods
The exams consists of a practical part and of an oral examination. The first involves a take-home project on a topic chosen by the teacher and the student. An oral examination consisting in the discussion of the project and the verification of the understanding of the therory
Contents
Singular (fractal) measures and the associated orthogonal polynomials. Relevance of the theory in other branches of mathematics and in Physics. Historical development of the theory. Links with the theory of dynamical systems. Numerical experiments.
Course Language
Italian
More information
Students may contact the instructor by e-mail to set up an appointment.