1 citations · 4 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
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…
Three Proofs of the Hypergraph Ramsey Theorem (An exposition)
William Gasarch, Andy Parrish, Sandow Sinai
Ramsey, Erdos-Rado, and Conlon-Fox-Sudakov have given proofs of the 3-hypergraph Ramsey Theorem with better and better upper bounds on the 3-hypergraph Ramsey Number. Ramsey and Er…
An additive version of Ramsey's theorem
Andy Parrish
We show that, for every , there is an so that any -coloring of the edges of the complete graph on will yield a monochromatic complete subgraph on vertic…
Toward a graph version of Rado's theorem
Andy Parrish
An equation is called graph-regular if it always has monochromatic solutions under edge-colorings of the complete graph on the naturals. We present two Rado-like conditions which a…