Eric Overholser (UCR)

> > Boundary Behavior of an n-measure on the Moduli Space of Riemann Surfaces 
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> > We are studying the possibility that the Eisenman-Kobayashi n-measure
> > on the moduli space of a Riemann surface with given a genus has the 
    boundary behavior which satisfies the assumptions in the theorem I
> > presented last year. This theorem stated that when the n-measure satisfies
> > a particular boundary condition, then it will satisfy an integral
> > inequality which is similar to the behavior of a log-plurisubharmonic
> > function near the boundary.  I wish to understand the behavior of the
> > Eisenman-Kobayashi n-measure on the moduli and Teichmuller spaces of
> > Riemann surfaces.  In particular, I wish to see the boundary behavior of
> > this n-measure on moduli space.  Doing so allows us to apply the above
> > mentioned theorem to this n-measure in a small enough neighborhood of the
> > boundary of moduli space.
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