Stochastic approach to customer Equity and Lifetime Value calculations with applications to customer retention models
and some extentions.
A. Ayache, M. Calciu, M. Fradon, F. Salerno
Athens, 35th Annual Conference of the European Marketing Academy, 23-26 May (2006).
Short animations simulating the behaviour of the above hard core dynamics.
Brownian spheres in a random medium of brownian particles and visualisation of the depletion attraction :
done using J. Kern's Python and Julia packages
J. Kern's Python and Julia packages
Two-type infinite dimensional RSDE simulations :
Hard Brownian balls with pairwise attraction, converging toward the triangular lattice. In red, the mean energy of the interacting pairs (total interaction energy divided by the number of pairs).
37 particles,
attraction coefficient 0.1, convergence toward an hexagonal configuration.
The hexagonal cluster follows a Brownian motion which is √37 times slower than the ball Brownian motions.
38 particles, attraction coefficient 0.1, convergence of 38 Brownian balls toward a circular configuration over the triangular grid, which behaves as a √38 times slower Brownian cluster.
I currently have teaching activities for first, second, third and fourth year students. I gave lectures for fifth year students in the past.
I am also involved in a popularization of mathematics program for middle/high school students, in some mathematical activities for lawyers, etc.
My lectures are in French, and so are my teaching documents and other non-research documents : switch back to this page in French.
Short animations simulating the behaviour of the above hard core dynamics.
