2 problems

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Mills–Robbins–Rumsey conjecture on star-invariant ASMs and DPPs
Mills–Robbins–Rumsey conjecture. These two sets have equal sizes for every $n$ , $p$ , $m$ , $k_1$ , and $k_2$ . Consequently, there should exist bijections between $\mathrm{ASM}(n)$ an…
Conjectureopenalternating-sign-matrices descending-plane-partitions enumerative-combinatoricsarXiv posted 2 days ago
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The Gessel–Viennot–Lalonde equivalence conjecture for the permutation–DPP bijection
The paper considers the bijection proved there between permutations and descending plane partitions, together with Gessel and Viennot's bijection between permutations and non-inter…
Conjectureopendescending-plane-partitions lattice-paths permutationsarXiv posted 2 days ago

Mills–Robbins–Rumsey conjecture on star-invariant ASMs and DPPs