Royal Society International Exchanges Scheme Costshare with CNRS 

Title: Segregation models in social sciences

Principle Investigators

Research Aims

We are interested in developing mathematical models of segregation both from an analytical and numerical point of view. Whereas these phenomena appear everywhere in sciences we will focus in this project on segregation models inspired from economics phenomena. We will be interested in the following:

  • Beckmann's urban models - We will investigate the assumptions which have to be made on the interactions between agents and on the congestion effects so that the Nash equilibrium of this game is made of different cities or one city with different city-centres.  
  • Segregation among pedestrians - Two groups of randomly moving agents have to join the other members of their group based on a local information. We want to find which interaction rules lead to a fast solution of this problem.


01/10/2016 - 31/12/2019 (the project has been extended by one year at no additional cost)

Imperial College Team

  • José Antonio Carrillo de la Plata (Prof)
  • Sara Merino-Aceituno (Res. Associate. Now at University of Vienna)
  • Markus Schmidchen (PhD student)
  • Marina Ferreira  (PhD student. Now at University of Helsinki)
  • Sophie Hecht (PhD student)

French team

  • Guillaume Carlier (Prof. Paris-Dauphine)
  • Francis Filbet (Prof. Toulouse) Amic Frouvelle (Assoc. Prof, Paris-Dauphine)
  • Sepideh Mirrahimi (Assoc. Res. Toulouse)
  • Ariane Trescases (Associate Prof. Toulouse)


In the framework of this project, we ran a small workshop entitled Mathematics and Social Sciences at Imperial College on 1-2 November 2018, which brought together around 20 members from both groups. Below is the schedule of the talks:

Schedule of the talks

Thursday Nov 1st

  • 9:30-10:30: Informal gathering
  • 10:30-11:00: Adrien Blanchet (Toulouse)
  • 11:00-11:30: discussion
  • 11:30-12:00 Rishabh Gvalani (Imperial College)
  • 12:00-12:30: discussion
  • 12:30-14:00: lunch at the Senior Common Room
  • 14:00-14:30: Sepideh Mirrahimi (Toulouse)
  • 14:30-15:00: discussion
  • 15:00-15:30: Sophie Hecht (Imperial College)
  • 15:30-16:00: discussion
  • 16:00-17:00: informal gathering (5th floor common room)
  • 17:00-19:00: free time
  • 19:00: dinner (place to be decided)

Friday Nov 2nd

  • 9:30-10:00: Amic Frouvelle (Dauphine)
  • 10:00-10:30: discussion
  • 10:30-11:00: Antoine Diez (Imperial College)
  • 11:00-11:30: discussion
  • 11:30-12:00: Markus Schmidtchen (Imperial College)
  • 12:00-12:30: discussion
  • 12:30-14:00: lunch at the Senior Common Room
  • 14:00-15:00: Guillaume Carlier (Dauphine) also for APDE seminar, Room Huxley 341
  • 15:00-16:00: discussion and future plans
  • 16:00: end of the workshop