(chairman Frédéric Patras)
9h00-12h00 Philippe Biane
abstract:
I. Free probability and random matrices.
The first part will include an introduction to free
probability theory and its relations to random matrices
II. Fluctuations of the simple symmetric exclusion process, quantum and classical.
In the second part I will discuss exclusion processes,
both classical and quantum, and I will explain how the
description of their fluctuations, as the size of the
system goes to infinity, involves typical free probability
quantities, namely "free cumulants".
podcasts:
first part
second part
12h00-14h00 Lunch (please register here to come along for lunch with the lecturers)
(chairman Patrick Cassam-Chenaï)
14h00-17h00 Jorge Kurchan
abstract:
1. Some heuristic elements of quantum chaos, level statistics
2. The random wave approximation, the eigenstate thermalization hypothesis (ETH) in its traditional formulation
3. Out-of-time order correlators (OTOCs) and why higher level correlations contain information that is new
4. Completing ETH, and how Free Probability comes to the rescue
5. Some idea of « designs », and how we see them from this viewpoint
podcasts:
first part
second part
