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math.CO2015
On longest increasing subsequences in words in which all multiplicities are equal
Ferenc Balogh
Gessel's famous Bessel determinant formula gives the generating function of the number of permutations without increasing subsequences of a given length. Ekhad and Zeilberger propo…
math.CO2012
The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials
Tiago Fonseca, Ferenc Balogh
The determinantal form of the partition function of the 6-vertex model with domain wall boundary conditions was given by Izergin. It is known that for a special value of the crossi…