Presented by:
Gregory Miermont
Date:
Thursday 12th July 2018 - 11:15 to 12:15
Venue:
INI Seminar Room 1
Event:
Abstract:
The
combinatorial theory of maps, or graphs on surfaces, is rich of many different
approaches (recursive decompositions, algebraic approches, matrix integrals,
bijective approaches) which often have probabilistic counterparts that are of
interest when one wants to study geometric aspects of random maps. In these
lectures, I will review parts of this theory by focusing on three different
decompositions of maps, namely, the slice decomposition, the peeling process,
and the decomposition in layers, and by showing how these decompositions can be
used to give access to quite different geometric properties of random
maps.
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