Spectral dimension and other geometry estimators in random fuzzy spaces
Abstract:
Random fuzzy spaces are a matrix model of non-commutative geometries. Calculating the path integral over these geometries numerically has shown indications of a phase transition, and given rise to the idea that the geometries at this phase transition might be two dimensional.To better understand these geometries and the phase transition we have explored spectral estimators for different geometric properties. In this talk, based on arXiv:1902.03590, I will introduce the ensemble of random fuzzy spaces and show some of the spectral estimators we constructed.