An involution on β (1, 0) -trees

Anders Claesson; Sergey Kitaev; Einar Steingrímsson

doi:10.1016/j.aam.2013.04.002

An involution on β (1, 0) -trees

Anders Claesson, Sergey Kitaev, Einar Steingrímsson

Faculty of Physical Sciences

University of Iceland

Research output: Contribution to journal › Article › peer-review

Abstract

In [A. Claesson, S. Kitaev, E. Steingrímsson, Decompositions and statistics for β(1,0)-trees and nonseparable permutations, Adv. in Appl. Math. 42 (2009) 313-328] we introduced an involution, h, on β(1,0)-trees. We neglected, however, to prove that h indeed is an involution. In this note we provide the missing proof. We also refine an equidistribution result given in the same paper.

Original language	English
Pages (from-to)	276-284
Number of pages	9
Journal	Advances in Applied Mathematics
Volume	51
Issue number	2
DOIs	https://doi.org/10.1016/j.aam.2013.04.002
Publication status	Published - Jul 2013

Other keywords

Equidistribution
Involution
Nonseparable permutation
β (1, 0)tree

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title = "An involution on β (1, 0) -trees",

abstract = "In [A. Claesson, S. Kitaev, E. Steingr{\'i}msson, Decompositions and statistics for β(1,0)-trees and nonseparable permutations, Adv. in Appl. Math. 42 (2009) 313-328] we introduced an involution, h, on β(1,0)-trees. We neglected, however, to prove that h indeed is an involution. In this note we provide the missing proof. We also refine an equidistribution result given in the same paper.",

keywords = "Equidistribution, Involution, Nonseparable permutation, β (1, 0)tree",

author = "Anders Claesson and Sergey Kitaev and Einar Steingr{\'i}msson",

year = "2013",

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T1 - An involution on β (1, 0) -trees

AU - Claesson, Anders

AU - Kitaev, Sergey

AU - Steingrímsson, Einar

PY - 2013/7

Y1 - 2013/7

N2 - In [A. Claesson, S. Kitaev, E. Steingrímsson, Decompositions and statistics for β(1,0)-trees and nonseparable permutations, Adv. in Appl. Math. 42 (2009) 313-328] we introduced an involution, h, on β(1,0)-trees. We neglected, however, to prove that h indeed is an involution. In this note we provide the missing proof. We also refine an equidistribution result given in the same paper.

AB - In [A. Claesson, S. Kitaev, E. Steingrímsson, Decompositions and statistics for β(1,0)-trees and nonseparable permutations, Adv. in Appl. Math. 42 (2009) 313-328] we introduced an involution, h, on β(1,0)-trees. We neglected, however, to prove that h indeed is an involution. In this note we provide the missing proof. We also refine an equidistribution result given in the same paper.

KW - Equidistribution

KW - Involution

KW - Nonseparable permutation

KW - β (1, 0)tree

UR - https://www.scopus.com/pages/publications/84879796957

U2 - 10.1016/j.aam.2013.04.002

DO - 10.1016/j.aam.2013.04.002

M3 - Article

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SP - 276

EP - 284

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

IS - 2

ER -

An involution on β (1, 0) -trees

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