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.
Conferences and Workshop sponsored by ANR
- Recent Progress on Random Walks, 25-29 May 2020,
Self-interacting Random Walks, Polymers and Folding
9-13 September 2019, CIRM, LUMINY
Random Walks and Polymers March 25-29 2019, Les Treilles, Haut-Var
CIMPA Graduate School in Probability.
July 15--27 2018, Buenos Aires
Workshop on Random Walks and Folding transition.
11-13 september 2017, Florence
Postdoctoral position in Probability
Ran WEI Started the 4th of November 2019.