Juhan Aru

EPFL SB MATH RGM
MA B2 467 (Bâtiment MA)
Station 8
CH-1015 Lausanne

Web site:  Web site:  https://www.epfl.ch/labs/rgm/

EPFL AVP-PGE EDMA-ENS
MA B2 424 (Bâtiment MA)
Station 8
CH-1015 Lausanne

EPFL SB SMA-GE
MA A2 403 (Bâtiment MA)
Station 8
CH-1015 Lausanne

vCard
Administrative data

Teaching & PhD

Teaching

Mathematics

PhD Programs

Doctoral Program in Mathematics

Courses

Metric and topological spaces

In metric spaces a distance is defined between each pair of points. In topological spaces, distances are replaced by only a certain notion of nearness. This abstract setting sheds new light upon basic questions: What is continuity? When should we consider two spaces to be equal?

Program: Section of Mathematics


Probability

This course provides an introduction to probability theory - the mathematical study of randomness. The aim is to get to know the basic mathematical framework of probability theory, and to learn to think and argue in this framework.

Program: Section of Mathematics


Martingales et mouvement brownien

Introduction to the theory of martingales in discrete time, in particular convergence and optional sampling theorems. Application to branching processes. Introduction to Brownian motion and its main properties.

Program: Section of Mathematics


Topics in probability

This year we will be looking into probabilistic study of some models of mathematical physics.

Program: Section of Mathematics