scholarly journals A new determinant for the Q-enumeration of alternating sign matrices

2021 ◽  
Vol 180 ◽  
pp. 105412
Author(s):  
Florian Aigner
Keyword(s):  
Alternating Sign Matrices

scholarly journals Inverses and eigenvalues of diamond alternating sign matrices

2014 ◽  
Vol 2 (1) ◽  
Author(s):  
Minerva Catral ◽  
Minghua Lin ◽  
D. D. Olesky ◽  
P. van den Driessche
Keyword(s):  
Alternating Sign Matrices

AbstractAn

scholarly journals Enumeration of alternating sign matrices of even size (quasi)-invariant under a quarter-turn rotation

2009 ◽  
Vol DMTCS Proceedings vol. AK,... (Proceedings) ◽  
Author(s):  
Jean-Christophe Aval ◽  
Philippe Duchon
Keyword(s):  
Alternating Sign Matrices ◽  
International Audience ◽  
Enumeration Formula ◽  
Half Turn

International audience The aim of this work is to enumerate alternating sign matrices (ASM) that are quasi-invariant under a quarter-turn. The enumeration formula (conjectured by Duchon) involves, as a product of three terms, the number of unrestrited ASm's and the number of half-turn symmetric ASM's. L'objet de ce travail est d'énumérer les matrices à signes alternants (ASM) quasi-invariantes par rotation d'un quart-de-tour. La formule d'énumération, conjecturée par Duchon, fait apparaître trois facteurs, comprenant le nombre d'ASM quelconques et le nombre d'ASM invariantes par demi-tour.

scholarly journals Weighted Counting of Inversions on Alternating Sign Matrices

Order ◽  
2019 ◽  
Vol 37 (3) ◽  
pp. 461-477
Author(s):  
Masato Kobayashi
Keyword(s):  
Alternating Sign Matrices

scholarly journals Pattern Avoidance in Alternating Sign Matrices

2007 ◽  
Vol 11 (3-4) ◽  
pp. 471-480
Author(s):  
Robert Johansson ◽  
Svante Linusson
Keyword(s):  
Pattern Avoidance ◽  
Alternating Sign Matrices

scholarly journals The Limit Shape of Large Alternating Sign Matrices

2010 ◽  
Vol 24 (4) ◽  
pp. 1558-1571 ◽  
Author(s):  
F. Colomo ◽  
A. G. Pronko
Keyword(s):  
Limit Shape ◽  
Alternating Sign Matrices
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