Juhan Aru

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juhan.aru@epfl.ch +41 21 693 87 64

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

+41 21 693 87 64
+41 21 693 34 61
Office: MA B2 467
EPFL > SB > MATH > RGM

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

+41 21 693 87 64
Office: MA B2 424
EPFL > VPA > VPA-AVP-PGE > AVP-PGE-EDOC > EDMA-ENS

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

+41 21 693 87 64
Office: MA A2 403
EPFL > SB > SB-SMA > SMA-ENS

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Teaching & PhD

Teaching

Mathematics

PhD Programs

Doctoral Program in Mathematics

PhD Students

Korzhenkova Aleksandra, Woessner Guillaume Charles,

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?

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.

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.

Topics in probability

This year we will be looking at topics in high-dimensional probability, i.e. properties of large random systems.