Subsequential ergodic averages are averages of orbits along a given subsequence of times. We discuss good and bad subsequences for norm and pointwise convergence of subsequential ergodic averages as well as universally bad sequences and further research directions.

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Subsequential Ergodic Theorems

  • Tanja Eisner,
  • Bálint Farkas

摘要

Subsequential ergodic averages are averages of orbits along a given subsequence of times. We discuss good and bad subsequences for norm and pointwise convergence of subsequential ergodic averages as well as universally bad sequences and further research directions.