Project SWiWS 2017-2021
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 so-called energy-entropy 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.
Postdoctoral position in Probability
We offer a 2-year postdoctoral position in Probability Theory beginning September 2018 and funded by the ANR grant SWiWS. All 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 Paris-Est, and collaboration is expected with members of the SWiWS project.
Deadlines: 28th of February 2018
For more information: amine.asselah at u-pec.fr