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math.DS2024
Horocycle flow at product of two primes
Giovanni Forni, Adam Kanigowski, Maksym Radziwiłł
We show that if is a co-compact arithmetic lattice in or then the horocycle orbit of every non-periodic point …
math.DS2020
Prime number theorem for analytic skew products
Adam Kanigowski, Mariusz Lemańczyk, Maksym Radziwiłł
We establish a prime number theorem for all uniquely ergodic, analytic skew products on the -torus . More precisely, for every irrational and every -periodi…