Some open problems on multiple ergodic averages

  • Updated version (2016) here. Progress update here (latest update September 2023).

  • Old version (2011) here. Progress update here (latest update September 2023).

    Other open problem webpages in ergodic theory

  • Open problems in dynamical systems and ergodic theory (maintained by S. Kolyada and M. Misiurewicz).

  • Open problems in dynamical systems (Stony Brook).

  • Open problems in dynamics and related fields (maintained by M. Hochman).

  • Open problems in symbolic dynamics (maintained by M. Boyle).