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Planar maps and random partitions
[article]
2019
arXiv
pre-print
This habilitation thesis summarizes the research that I have carried out from 2005 to 2019. It is organized in four chapters. The first three deal with random planar maps. Chapter 1 is about their metric properties: from a general map-mobile bijection, we compute the three-point function of quadrangulations, before discussing the connection with continued fractions. Chapter 2 presents the slice decomposition, a unified bijective approach that applies notably to irreducible maps. Chapter 3
arXiv:1912.06855v1
fatcat:x65e5afnc5apldlvdvxk64ruke