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A theory of digit randomness has been proposed (jointly, by D. Bailey
and the lecturer) to
"explain" the apparent randomness
of the expansions of fundamental constants such as $\pi$, $\log 2$,
$\zeta(3)$. At the core of the theory is a general hypothesis
connecting chaotic phenomena with the older theory of normal numbers.
In particular, on the general hypothesis we can prove that
each of the aforementioned constants is normal to base 2
(i.e., has "random" binary bits).
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