Abstract:In this paper we investigate pointed (q, g, n)-Boltzmann loop-decorated maps with loops traversing only inner triangular faces. Using peeling exploration [Bud18] modified to this setting we show that its law in the non-generic critical phase can be coded in terms of a random walk confined to the positive integers by a new specific boundary condition. Combining this observation with explicit quantities for the peeling law we derive the large deviations property for the distribution of the so-called nesting stat… Show more
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