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TOPICS IN MATHEMATICAL PHYSICS

Degree course: 
Corso di First cycle degree in MATHEMATICS
Academic year when starting the degree: 
2016/2017
Year: 
3
Academic year in which the course will be held: 
2018/2019
Course type: 
Compulsory subjects, characteristic of the class
Credits: 
8
Period: 
First Semester
Standard lectures hours: 
64
Detail of lecture’s hours: 
Lesson (64 hours)
Requirements: 

Lebesgue measure theory. Basic topology.

Final Examination: 
Orale

Take home exam, oral examination. The oral examination is intended to verify the acquired knowledge of the basis tenets of the theory, while the take-home exam requires to show the capability of applying them to a problem suggested by the instructor. Both parts contribute equally to the final evaluation of the exam.

Assessment: 
Voto Finale

A first introduction to singular measures and their properties. Students should learn the foundations of theory and develop the capability to apply them to abstract situations, as well as to problems arising in other fields of mathematics and physics.

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.

Classroom lectures. Take home exercises.

Professors

MANTICA GIORGIO DOMENICO PIO

Borrowers