Title:
An Optimal transport point of view of Fluctuation theory.

 
Abstract:
The last decades the Fluctuation theory has been very successful 
in describing the physic of processes out of equilibrium enjoying 
a kind of structural stability also called “stochastic stability”. 
While the physical concepts provide an accurate physical description 
with universal relations ( Gallavotti-Cohen relation for example), 
an unified formalism ( model-independent ) and a mathematical theory 
is still missing. Meanwhile, the optimal transport theory’s school 
has been developing a complete and rigorous theory of metric gradient 
flow on probability spaces, which seems to be the natural framework 
for the Fluctuation theory.

This talk will be an introduction to this optimal transport description 
of the fluctuation theory for stochastic stable process, one of the 
main argument being the correspondence between this framework and the 
physical  intuition.  

We will present the main concepts and results as an introduction for 
a work-group discussion on this topic.