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20112023
most citedThe inverse sieve problem in high dimensions

6 citations · 8 across the 5 of their papers we have counts for

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math.DS2011

Norm convergence of nilpotent ergodic averages

Miguel N. Walsh

We show that multiple polynomial ergodic averages arising from nilpotent groups of measure preserving transformations of a probability space always converge in the L^2 norm.

math.NT2011★ 6 cited

The inverse sieve problem in high dimensions

Miguel N. Walsh

We show that if a big set of integer points in [0,N]^d, d>1, occupies few residue classes mod p for many primes p, then it must essentially lie in the solution set of some polynomi…