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Symmetric statistics on Dyck paths:

The following statistics have a symmetric joint distribution on Dyck paths:

  • $(area,bounce)$,

    • (area,bounce), see here
    • $(area,dinv)$,
    • (area,dinv), see here
    • (number of returns, length of last descent)
show/hide this revision's text 1 [made Community Wiki]

Symmetric statistics on Dyck paths:

The following statistics have a symmetric joint distribution on Dyck paths:

  • $(area,bounce)$, see here
  • $(area,dinv)$, see here