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Pattern occurrences in random planar maps

Michael Drmota and Benedikt Stufler

Statistics & Probability Letters, 2020, vol. 158, issue C

Abstract: 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).

Keywords: Planar maps; Patterns; Local convergence (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2019.108666

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