Bubble wall correlations in cosmological phase transitions
  We study statistical relationships between bubble walls in cosmological
first-order phase transitions. We consider the conditional and joint
probabilities for different points on the walls to remain uncollided at given
times. We use these results to discuss space and time correlations of bubble
walls and their relevance for the consequences of the transition. In our
statistical treatment, the kinematics of bubble nucleation and growth is
characterized by the nucleation rate and the wall velocity as functions of
time. We obtain general expressions in terms of these two quantities, and we
consider several specific examples and applications.
