Claims almost-everywhere convergence of bilinear ergodic averages along arbitrary polynomials and along primes, but the proof omits the key rotated polynomial oscillation estimates.
Bourgain, An approach to pointwise ergodic theorems, Spring er L.N.M., Vol
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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.