Imperial College London

DrMartinRasmussen

Faculty of Natural SciencesDepartment of Mathematics

Reader in Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 2774m.rasmussen Website

 
 
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Location

 

637Huxley BuildingSouth Kensington Campus

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Summary

 

Dynamical Systems - M4PA23

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

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) dynamical
systems, 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