Project SWiWS 20172021
Members
Main Goal
We aim at a mathematical conceptual understanding of the folding transition. We consider the critical phenomenon of a qualitative change of geometry of these long chains upon heating. Indeed, there is for all polymers a subtle balance between their own flexibility and the forces they experience, the socalled energyentropy competition, in order to achieve a definite bulky shape which holds in a narrow window of temperature. Probability Theory studies such a problem by considering a family of polymers associated with some weights, a law, instead of focusing on a given specific sequence of monomers. Thus, our goal is twofolds: (i) exhibit conditions for the weights under which the family of polymers reaches a Folding Transition; (ii) describe the many possible shapes adopted by polymers.
Conferences and Workshop sponsored by ANR
 Recent Progress on Random Walks, 2529 May 2020,
CIRM, LUMINY

Selfinteracting Random Walks, Polymers and Folding
913 September 2019, CIRM, LUMINY

Random Walks and Polymers March 2529 2019, Les Treilles, HautVar

CIMPA Graduate School in Probability.
July 1527 2018, Buenos Aires

Workshop on Random Walks and Folding transition.
1113 september 2017, Florence
Postdoctoral position in Probability
Niccolo Torri has won a 2year postdoctoral position
beginning October 2018 and funded by the ANR grant SWiWS.
The position is officially attached with ParisEst.
For more information: amine.asselah at upec.fr