The Swiss Cheese and the Wiener Sausage – SWiWS
This project considers as its main object paths made by a discrete random walk, or its continuous counterpart, a Wiener Sausage. These are celebrated models of Probability Theory, and bench test models for applications in Biology, Chemistry, or Physics. We consider models of interacting random paths, either self-attracting, self-repelling or interacting with the solvent. The phenomenon we wish to describe is the folded/unfolded shape that the random path adopts according to the nature of the interaction, and the value of parameters like temperature or salt concentration. Its originality is to focus on the Newtonian Capacity of the range of the polymer, which should shed light on its geometry. The Newtonian Capacity is a central object both in Analysis and in Probability Theory. However, it has never been used to probe the geometry of models of folded polymers, as we are suggesting here.
Project coordination
AMINE ASSELAH (Laboratoire d'analyse et de mathématiques appliquées)
The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.
Partner
CEREMADE Centre de recherches en mathématiques de la décision
I2M Institut de Mathématiques de Marseille
Statistics Laboratory
LAGA Laboratoire Analyse, Géométrie et Applications
LPMA Laboratoire de probabilités et modèles aléatoires
LAMA Laboratoire d'analyse et de mathématiques appliquées
LPMA Laboratoire de probabilités et modèles aléatoires
Help of the ANR 208,895 euros
Beginning and duration of the scientific project:
September 2017
- 48 Months
