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math.CO2003
A simple and unusual bijection for Dyck paths and its consequences
Sergi Elizalde, Emeric Deutsch
In this paper we introduce a new bijection from the set of Dyck paths to itself. This bijection has the property that it maps statistics that appeared recently in the study of patt…
math.CO2003
Longest increasing subsequences in pattern-restricted permutations
Emeric Deutsch, A. J. Hildebrand, Herbert S. Wilf
Inspired by the results of Baik, Deift and Johansson on the limiting distribution of the lengths of the longest increasing subsequences in random permutations, we find those limiti…