Creation of Universes from the Third-Quantized Vacuum
  We calculate the average numbers of closed, flat, and open universes
spontaneously created from nothing in third quantization. The creation of
universes is exponentially suppressed for large values of the kinetic energy of
the inflaton, while for small kinetic energies it is exponentially favoured for
closed universes over flat and open ones: For a scale of inflation less than
about $2 \times 10^{16}$GeV, the ratio of the number of closed universes to
either the number of flat or open universes is \begin{equation}
\frac{n_{closed}}{n_{flat,open}} \gtrsim 10^{10^{10}} . \nonumber
\end{equation}
