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
Deadlines: 1st of July 2019
We offerÂ a 1year postdoctoral position in Probability Theory beginning in the Fall 2019 and funded by the ANR grant SWiWS.
Candidates with a background in Probability or Mathematical Physics, and interested
in working on the mathematical aspects of polymer folding, interacting random walks and related topics, are encouraged to apply.
The position is officially attached with ParisEst, and collaboration is expected with members of the SWiWS project.
Funding will also be available to participate in scientific events related to the project.
Research stays in Marseille and Cambridge are possible.
Eligibility criteria:
Holding a PhD in Mathematics.
Applications should be sent by email and include: a CV, a list of publications,
a description of research project as well as 2 letters of recommendation.
For more information: amine.asselah at upec.fr