The Discrete Dynamical Models Group is part of the  LIAFA  laboratory (CNRS  and  University Denis Diderot Paris 7 ).  It is composed by those people in the laboratory interested in the study of some discrete-time discrete-topology dynamical models, and some nice related objects.

The main approach we develop is to consider the structure of the set of configurations of a discrete dynamical model starting from a  given initial configuration. For many such systems, we have shown that this set naturally partially ordered by the transition relation is a lattice (partially ordered set so that every pair of elements admits an infimum and a supremum). See for example the following nice drawings of such lattices. This latticial structure can be seen as a very strong convergence criterion for the considered system.

The main objects we have studied for the moment are

• many kinds of sand piles models, strongly related to integer partitions
• chip firing games, and related models they encode, including the abelian sand pile model
• tilings with flips, in particular tilings of zonotopes and tilings with dominos

The group is composed by

• Olivier Bodini, ECP6
• Frédéric Chavanon, graduate student
• David Dayan Rosenman, graduate student
• Sébastien Desreux, PhD student
• Daniel Krob, research director at the  CNRS  and head of the LIAFA
• Matthieu Latapy, PhD student
• Clémence Magnien, PhD student
• Michel Morvan, professor at University Denis Diderot Paris 7  and  IUF
• Jean-Christophe Novelli, reasercher at the CNRS, member of the LIFL laborathory.
• Ha Duong Phan, assistant professor at University Denis Diderot Paris 7
• Laurent Vuillon, assistant professor at  University Denis Diderot Paris 7
• Jean-Baptiste Yunes, assistant professor at  University Denis Diderot Paris 7

but we also work with many Friends

First International Conference DM-CCG (Discrete Models - Combinatorics, Computation and Geometry)

Publications

Programs

Comments are welcome.