most citedPerturbation of Sparse Ergodic Averages

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2012★ 1 cited

Perturbation of Sparse Ergodic Averages

Andrew Parrish

We provide examples of a nested sequences of sets {S_n}, suitably sparse, residing in a group G, for which multidimensional averages fail converge pointwise for f in certain L^p sp…

math.DS2009

Pointwise Convergence of Ergodic Averages in Orlicz Spaces

Andrew Parrish

We show that for each Orlicz space properly contained in L^1 there is a sequence along which the ergodic averages converge for functions in the Orlicz space, but diverge for all f…