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Limit Shapes via Bijections

Published online by Cambridge University Press:  02 August 2018

STEPHEN DeSALVO
Affiliation:
Department of Mathematics, UCLA, Los Angeles, CA 90095, USA (e-mail: [email protected], [email protected])
IGOR PAK
Affiliation:
Department of Mathematics, UCLA, Los Angeles, CA 90095, USA (e-mail: [email protected], [email protected])

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.

Type
Paper
Copyright
Copyright © Cambridge University Press 2018 

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