Pattern occurrences in random planar maps
classification
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math.PR
keywords
mapsnumberoccurrencespatternplanaradjustedasymptoticallyboltzmann
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We consider planar maps adjusted with a (regular critical) Boltzmann distribution and show that the expected number of pattern occurrences of a given map is asymptotically linear when the number n of edges goes to infinity. The main ingredient for the proof is an extension of a formula by Liskovets (1999).
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