2024

Topics in Dynamical Systems

Name: Topics in Dynamical Systems
Code: MAT11697D
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area: Mathematics

Teaching languages: Portuguese
Languages of tutoring support: Portuguese, English
Regime de Frequência: B-learning

Sustainable Development Goals

Learning Goals

The main purpose of this course is to have knowledge of recent advances in the study of dynamic
systems. Different topics will be boarded.

Contents

Dynamical systems on graphs. Perron-Frobenius-Ruelle operator.
Spectral topological invariants.
Fuchsian groups, Kleinian groups. Action of discrete groups on hyperbolic space.
Operator algebras associated with discrete dynamical systems.
Non-linear boundary value problems.
Renormalization theory on dynamical systems.

Teaching Methods

Structuralized exposition, examples, resolution of exercises. Participation in research seminars.
Continuous evaluation in the practical lessons, complemented
with an individual work and/or an examination.

Teaching Staff