Characterisation of Markovian Properties on Maps

In this talk, we revisit the Markov property of decorated

planar maps, providing a comprehensive characterization of random

submaps that satisfy the Markov property and demonstrating that they are

not restricted to those obtained through a peeling procedure.

Additionally, we identify the class of laws for decorated planar maps

that exhibit both the Markov property and reroot invariance,

establishing that they correspond to Boltzmann-type maps.

Joint work with Luis Fredes and Avelio Sepúlveda.