TOPICS IN MATHEMATICAL PHYSICS

Degree course: 
Corso di First cycle degree in MATHEMATICS
Academic year when starting the degree: 
2014/2015
Year: 
3
Academic year in which the course will be held: 
2016/2017
Course type: 
Compulsory subjects, characteristic of the class
Credits: 
8
Period: 
First Semester
Standard lectures hours: 
80
Detail of lecture’s hours: 
Lesson (80 hours)
Requirements: 

Lebesgue measure theory. Basic topology.

Assessment: 
Voto Finale

A first introduction to singular measures and their properties.

The course is organized in three chapters: orthogonal polynomials of positive measures supported on the real axis; iterated functions systems, their attractors and invariant measures; multi-fractal dimension, Fourier transforms and other properties of singular measures.

Scientific papers available online.