  I argue that Bohmian mechanics (or any similar pilot-wave theory) cannot
reasonably be claimed to be a deterministic theory. If one assumes the "quantum
equilibrium distribution" provided by the wave function of the universe,
Bohmian mechanics requires an external random oracle in order to describe the
(Kolmogorov-Levin-Chaitin) algorithmic randomness properties of typical outcome
sequences of long runs of repeated identical experiments (which provably follow
from the Born rule). This oracle lies beyond the scope of Bohmian mechanics (or
any deterministic extension thereof), including the impossibility of explaining
the randomness property in question from "random" initial conditions. Thus the
advantages of Bohmian mechanics over other interpretations of quantum
mechanics, if any, must lie at an ontological level, and in its potential to
derive the quantum equilibrium distribution and hence the Born rule.
