Our member Vincent Tassion was awarded an ERC Starting Grant for his project Critical and supercritical percolation.
Vincent Tassion is focusing on the mathematical study of models arising in statistical mechanics. These models describe different mechanisms that give rise to phase transitions in physics. Such models include percolation processes, which are the main topic of his ERC project. Percolation theory studies how independent random input that is spread uniformly on a lattice or in space gives rise to macroscopic structures – for example in the spread of epidemics or forest fires. A number of groundbreaking results have improved the understanding of percolation. As some fundamental questions remain unanswered, Tassion aims to answer some of them by establishing new connections between percolation theory and other fields of mathematics or theoretical computer science.