Short proof of the ASM theorem avoiding the six-vertex model

@article{Fischer2016ShortPO,
  title={Short proof of the ASM theorem avoiding the six-vertex model},
  author={Ilse Fischer},
  journal={J. Comb. Theory, Ser. A},
  year={2016},
  volume={144},
  pages={139-156}
}
Alternating sign matrix (ASM) counting is fascinating because it pushes the limits of counting tools. Nowadays, the standard method to attack such problems is the six-vertex model approach which involves computing a certain generating function of ASMs with—at first sight— nonorthodox weights originating from statistical mechanics. Still nobody has been able to use this technique to reprove the generalization of the ASM theorem that Zeilberger has actually established in the first proof of the… CONTINUE READING
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