An area-bounce exchanging bijection on a large subset of Dyck paths

It is a longstanding open problem to find a bijection exchanging area and bounce statistics on Dyck paths. We settle this problem for an exponentially large subset of Dyck paths via an explicit bijection. Moreover, we prove that this bijection is natural by showing that it maps what we call bounce-m...

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Hauptverfasser:	Ayyer, Arvind, Sundaravaradan, Naren
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics
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