1 citations · 4 across the 7 of their papers we have counts for
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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.DS2012★ 1 cited
Multivariable averaging on sparse sets
Patrick LaVictoire, Andrew Parrish, Joseph Rosenblatt
Nonstandard ergodic averages can be defined for a measure-preserving action of a group on a probability space, as a natural extension of classical (nonstandard) ergodic averages. W…