Bubble Correlation in First-Order Phase Transitions
  Making use of both the stochastic approach to the tunneling phenomenon and
the threshold statistics, we offer a simple argument to show that critical
bubbles may be correlated in first-order phase transitions and biased compared
to the underlying scalar field spatial distribution. This happens though only
if the typical energy scale of the phase transition is sufficiently high. We
briefly discuss possible implications of this result, e.g. the formation of
primordial black holes through bubble collisions.
