New enumeration formulas for alternating sign matrices and square ice partition functions

Arvind Ayyer, Dan Romik

Type: Article

Publication Date: 2012-12-28

Citations: 18

DOI: https://doi.org/10.1016/j.aim.2012.11.006

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Advances in Mathematics - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
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Works Cited by This (35)

Action	Title	Year	Authors
+	Another proof of the alternating sign matrix conjecture	1997	Greg Kuperberg
+	Six-Vertex, Loop and Tiling models: Integrability and Combinatorics	2009	Paul Zinn-Justin
+	Alternating sign matrices and domino tilings	1992	Noam D. Elkies Greg Kuperberg Michael Larsen James Propp
+	Proof of the Alternating Sign Matrix Conjecture	1995	Doron Zeilberger
+ PDF Chat	Combinatorial Nature of the Ground-State Vector of the O(1) Loop Model	2004	A. V. Razumov Yu. G. Stroganov
+ PDF Chat	On the partition function of the six-vertex model with domain wall boundary conditions	2004	Filippo Colomo A. G. Pronko
+ PDF Chat	A new representation for the partition function of the six-vertex model with domain wall boundaries	2011	W. Galléas
+ PDF Chat	Boundary polarization in the six-vertex model	2002	N. M. Bogoliubov A. V. Kitaev Mikhail B. Zvonarev
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+ PDF Chat	Boundary correlation functions of the six and nineteen vertex models with domain wall boundary conditions	2011	Kohei Motegi