Let M be a compact surface of negative Euler characteristic and let C(M) be
the deformation space of convex real projective structures on M. For every
choice of pants decomposition for M, there is a well known parameterization of
C(M) known as the Goldman parameterization. In this paper, we study how some
geometric properties of the real projective structure on M degenerates as we
deform it so that the internal parameters of the Goldman parameterization leave
every compact set while the boundary invariants remain bounded away from zero
and infinity.Comment: 47 pages, 17 figures, Accepted for publication at PLM