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
Niccolo Torri has won a 2-year postdoctoral position
beginning October 2018 and funded by the ANR grant SWiWS.
The position is officially attached with Paris-Est.
For more information: amine.asselah at u-pec.fr