Publication
Title
Optimal transport and integer partitions
Author
Abstract
We link the theory of optimal transportation to the theory of integer partitions. Let P(n) denote the set of integer partitions of n is an element of N and write partitions pi is an element of P(n) as (n(1),..., n(k)(pi)). Using terminology from optimal transport, we characterize certain classes of partitions like symmetric partitions and those in Euler's identity vertical bar{pi is an element of P(n) vertical bar all n(i) diatinct}vertical bar = vertical bar{pi is an element of P(n) vertical bar all n(i) odd}vertical bar. Then we sketch how optimal transport might help to understand higher dimensional partitions. (C) 2015 Elsevier B.V. All rights reserved.
Language
English
Source (journal)
Discrete applied mathematics. - Amsterdam
Publication
Amsterdam : 2015
ISSN
0166-218X
Volume/pages
190(2015), p. 75-85
ISI
000356751400008
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 04.05.2015
Last edited 22.07.2017
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