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math.LO2023
The descriptive complexity of the set of Poisson generic numbers
Verónica Becher, Stephen Jackson, Dominik Kwietniak +1
Let be an integer. We show that the set of real numbers that are Poisson generic in base is -complete in the Borel hierarchy of subsets of the real l…
math.LO2021
Randomness and uniform distribution modulo one
Verónica Becher, Serge Grigorieff
We elaborate the notions of Martin-Löf and Schnorr randomness for real numbers in terms of uniform distribution of sequences. We give a necessary condition for a real number to be…