oint work with Prof. Stefano Marmi, SNS, Pisa

Abstract:

Following an observation made more than 20 years ago by Derrida, De Seze & Itzykson we show that it is possible to get from a map (decoration) acting on the space of hypergraphs to a rational map acting on a proper complex manifold that turns out to be a complex multiprojective space of suitable (multi)dimension. We will show some relationships between the decoration map and dynamical properties of the related rational map such as algebraic stability, distribution of indetermination set.