  Social network position confers power and social capital. In the setting of
online social networks that have massive reach, creating mathematical
representations of social capital is an important step towards understanding
how network position can differentially confer advantage to different groups
and how network position can itself be a source of advantage. In this paper, we
use well established models for information flow on networks as a base to
propose a formal descriptor of the network position of a node as represented by
its information access. Combining these descriptors allows a full
representation of social capital across the network. Using real-world networks,
we demonstrate that this representation allows the identification of
differences between groups based on network specific measures of inequality of
access.
