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math.DS2026
The Wiener Wintner Theorem Along the Primes
Jan Fornal, Anastasios Fragkos, Ben Krause +3
We prove the following Wiener-Wintner Theorem along the sequence of prime times, the first extension of the Wiener-Wintner Theorem to arithmetic sequences: for every probability sp…
math.DS2024
Pointwise convergence of bilinear polynomial averages over the primes
Ben Krause, Hamed Mousavi, Terence Tao +1
We show that on a -finite measure preserving system , the non-conventional ergodic averages converge pointw…