An axiomatic characterization of the Brownian map
An axiomatic characterization of the Brownian map
The Brownian map is a random sphere-homeomorphic metric measure space obtained by "gluing together" the continuum trees described by the x and y coordinates of the Brownian snake. We present an alternative "breadth-first" construction of the Brownian map, which produces a surface from a certain decorated branching process. It is …