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- W3173999780 abstract "The longest increasing subsequence problem for permutations has been studied extensively in the last fifty years. The interpretation of the longest increasing subsequence as the longest 21-avoiding subsequence in the context of permutation patterns leads to many interesting research directions. We introduce and study the statistical properties of Hammersleytype interacting particle processes related to these generalizations and explore the finer structures of their distributions. We also propose three different interacting particle systems in the plane analogous to the Hammersley process in one dimension and obtain estimates for the asymptotic orders of the mean and variance of the number of particles in the systems." @default.
- W3173999780 created "2021-07-05" @default.
- W3173999780 date "2021-06-21" @default.
- W3173999780 modified "2023-09-25" @default.
- W3173999780 title "Variations on Hammersley’s interacting particle process" @default.
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- W3173999780 doi "https://doi.org/10.47443/dml.2021.0049" @default.
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