Statistical structure of concave compositions

Autor:	Dalal, Avinash J., Lohss, Amanda, Parry, Daniel
Rok vydání:	2016
Předmět:	Mathematics - Combinatorics Mathematics - Number Theory Mathematics - Probability 05A16 60C05 11P82
Druh dokumentu:	Working Paper
Popis:	In 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. Comment: 20 pages, 3 figures. Edited with helpful comments
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.00343 Zobrazit plný text záznamu View this record from Arxiv