Proves unconditional theorems on sharp finitary parity-vector density, closed-form counts of paradoxical sequences of fixed length k, and density zero for bounded-length paradoxical sequences in the accelerated Collatz map, with a numerical link to convergents of log_3 2.
Tao,Almost all orbits of the Collatz map attain almost bounded values,arXiv:1909.03562;Forum Math
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Parity vectors and paradoxical sequences in the accelerated Collatz map
Proves unconditional theorems on sharp finitary parity-vector density, closed-form counts of paradoxical sequences of fixed length k, and density zero for bounded-length paradoxical sequences in the accelerated Collatz map, with a numerical link to convergents of log_3 2.