Eulerian pairs on Fibonacci words
  Recently, Sagan and Savage introduced the notion of Eulerian pairs. In this note, we find Eulerian pairs on Fibonacci words based on Foata's first transformation or Han's bijection and a map in the spirit of a bijection of Steingr\'{\i}msson. 
Teresa X.S. Li, Charles B. Mei, Melissa Y.F. Miao
math.CO