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08 February 2025
 
  » arxiv » 1605.0343

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Statistical structures of concave compositions
Avinash J. Dalal ; Amanda Lohss ; Daniel Parry ;
Date 2 May 2016
AbstractIn this paper, we study concave compositions, an extension of partitions that were considered by Andrews, Rhoades, and Zwegers. They presented several open problems regarding the statistical structure of concave compositions including the distribution of the perimeter and tilt, the number of summands, and the shape of the graph of a typical concave composition. We present solutions to these problems by applying Fristedt’s conditioning device on the uniform measure.
Source arXiv, 1605.0343
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