Quantitative ergodic theorems for weakly integrable functions

Abstract

Under suitable hypotheses we establish a quantitative pointwise ergodic theorem which applies to trimmed Birkhoff sums of weakly integrable functions.

10 pages

References in corpus (1)

• Local stability of ergodic averages

Cited by in corpus (3)

• Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type
• Strong laws of large number for intermediately trimmed Birkhoff sums of observables with infinite mean
• Mean convergence for intermediately trimmed Birkhoff sums of observables with regularly varying tails