Claims almost-everywhere convergence of bilinear ergodic averages along arbitrary polynomials and along primes, but the proof omits the key rotated polynomial oscillation estimates.
Aaronson, An introduction to infinite ergodic theory
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Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes
Claims almost-everywhere convergence of bilinear ergodic averages along arbitrary polynomials and along primes, but the proof omits the key rotated polynomial oscillation estimates.