Final Report Summary - STRUCLIM (Limits of discrete structures)
Another area of research is in the field of higher order Foureir analysis (HOF) started by W.T. Gowers around 2000. Classical Fourier analysis is one of the most powerful method to deal with ordered data. HOF is a generalization of classical Fourier analysis and it is connected to graph limit theory in many ways. It was observed that many results in HOF are similar to results on dynamical systems but the exact nature of this connection was not known. The StrucLim project revealed a deep and fruitful connection between HOF and dynamical systems using probability theory. This led to new results in both areas.