  We examine two semi-analytical methods for estimating the baryon asymmetry of
the universe (BAU) generated in scenarios of ``local'' electroweak baryogenesis
(in which the requisite baryon number violation and CP violation occur together
in space and time). We work with the standard electroweak theory augmented by
the addition of a CP violating dimension six operator. We work in the context
of a first order phase transition, but the processes we describe can also occur
during the evolution of a network of topological defects. Both the approaches
we explore deal with circumstances where the bubble walls which convert the
high temperature phase to the low temperature phase are thin and rapidly
moving. We first consider the dynamics of localized configurations with winding
number one which remain in the broken phase immediately after the bubble wall
has passed. Their subsequent decay can anomalously produce fermions. In a
prelude to our analysis of this effect, we demonstrate how to define the C and
CP symmetries in the bosonic sector of the electroweak theory when
configurations with nonzero winding are taken into account. Second, we consider
the effect of the passage of the wall itself on configurations which happen to
be near the crest of the ridge between vacua as the wall arrives. We find that
neither of the simple approaches followed here can be pushed far enough to
obtain a convincing estimate of the BAU which is produced. A large scale
numerical treatment seems necessary.
