## Dynamical Systems - M4PA23

### Aims

*The theory of Dynamical Systems is an important area of mathematics which aims at describing objects whosestate changes over time. For instance, the solar system comprising the sun and all planets is a dynamicalsystem, and dynamical systems can be found in many other areas such as finance, physics, biology and socialsciences.*

### Role

Lecturer

## Dynamical Systems - M3PA23

### Aims

The theory of Dynamical Systems is an important area of mathematics which aims at describing objects whose

state changes over time. For instance, the solar system comprising the sun and all planets is a dynamical

system, and dynamical systems can be found in many other areas such as finance, physics, biology and social

sciences. This course provides a rigorous treatment of the foundations of discrete-time dynamical systems,

which includes the following subjects:

- Periodic orbits

- Topological and symbolic dynamics

- Chaos theory

- Invariant manifolds

- Statistical properties of dynamical systems

### Role

Lecturer

## Ergodic Theory (Seminar Course) - M4PA36

### Aims

*Ergodic theory has strong links to analysis, probability theory, (random and deterministic) dynamicalsystems, number theory, differential and difference equations and can be motivated from many different angles and applications. In contrast to topological dynamics, Ergodic theory focusses on a probabilistic description of dynamical systems, and hence, a proper background of probability and measure theory is required to understand even the basic material in ergodic theory. For this reason, the first part of the course will concentrate on a self-contained review of the required background; this can take up to three weeks and might be skipped if not necessary. The second part of the course will focus on selected topics in ergodic theory.*

### Role

Lecturer

## Dynamical Systems - M5PA23

### Aims

The theory of Dynamical Systems is an important area of mathematics which aims at describing objects whose state changes over time. For instance, the solar system comprising the sun and all planets is a dynamical system, and dynamical systems can be found in many other areas such as finance, physics, biology and social sciences.

### Role

Lecturer