For almost every irrational x, the denominators q_n of the continued-fraction convergents grow like q_n^(1/n) → L. Closely tied to Khinchin's constant via ergodic theory.
For almost every irrational x, the denominators q_n of the continued-fraction convergents grow like q_n^(1/n) → L. Closely tied to Khinchin's constant via ergodic theory.