Exact samplers for permutations with fixed LIS length k: O(n log log n) expected time rejection sampler when k=Theta(n), and tilde O(n^3 k^4) RS-based sampler for arbitrary k via determinant oracles on Hankel moment matrices.
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Exact Sampling of Permutations with a Fixed Longest Increasing Subsequence
Exact samplers for permutations with fixed LIS length k: O(n log log n) expected time rejection sampler when k=Theta(n), and tilde O(n^3 k^4) RS-based sampler for arbitrary k via determinant oracles on Hankel moment matrices.