Yvan Le Borgne

The sandpile model was introduced by physicists Bak, Tang and Wiesenfeld in 1988. Then it was identified as a prototype of self organized criticality. This discrete model of diffusion is generally defined on any connected graph, and a configuration...

In 2007, Baker and Norine stated a theorem which they called a version for graphs of a Riemann-Roch theorem. In this theorem,the rank is an integer parameter defined by an optimisation among some compositions on labeling of vertices by integers. In...