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We study the local limits of uniform high genus bipartite maps withprescribed face degrees. We prove the convergence towards a family of infinitemaps of the plane, the q-IBPMs, which exhibit both a spatial Markov propertyand a hyperbolic behaviour. Therefore, we observe a similar local behaviour fora wide class of models of random high genus maps, which can be seen as a resultof universality. Our results cover all the regimes where the expected degree ofthe root face remains finite in the limit. This follows a work by the sameauthors on high genus triangulations arXiv:1902.00492.

Local limits of bipartite maps with prescribed face degrees in high genus