Limit Shapes via Bijections. (2nd August 2018)

• Record Type: Journal Article
• Authors: DeSALVO, STEPHEN; PAK, IGOR
• Is Part Of: Combinatorics, probability and computing. Volume 28:Number 2(2019)
• Page Start: 187
• Page End: 240
• Publication Date: 2018-08-02
• Subjects: Primary 05A17, -- Secondary 05A19, -- 60C05, -- 11P82, -- 11P84, -- 60F10; Combinatorial analysis -- Periodicals; Probabilities -- Periodicals; Computer science -- Mathematics -- Periodicals; 511.6
• DOI: 10.1017/S0963548318000330
• Languages: English
• ISSNs: 0963-5483

Abstract

Abstract : We compute the limit shape for several classes of restricted integer partitions, where the restrictions are placed on the part sizes rather than the multiplicities. Our approach utilizes certain classes of bijections which map limit shapes continuously in the plane. We start with bijections outlined in [43], and extend them to include limit shapes with different scaling functions.