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% Rename this file as ``FirstNameLastName'' for example ``JohnSmith'' without quotation marks.
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\begin{conf-abstract}[Date\\Day\\Time\\Room] % Do not alter this line!
{Geometric preferential attachment in non-uniform metric spaces} % Title of Your Talk
{Jonathan Jordan} % Your name in the format ``John Smith'' without quotation marks
{University of Sheffield} % Name of your University for example ``University of Sheffield''
% Place your abstract under here, 100-150 words:
We investigate the degree sequences of geometric preferential attachment graphs in general compact
metric spaces. We show that, under certain conditions on the attractiveness function, the behaviour
of the degree sequence is similar to that of the preferential attachment with multiplicative fitness
models investigated by Borgs et al. When the metric space is finite, the degree distribution at each
point of the space converges to a degree distribution which is an asymptotic power law whose index
depends on the chosen point. For infinite metric spaces, we can show that for vertices in a Borel
subset of S of positive measure the degree distribution converges to a distribution whose tail is
close to that of a power law whose index again depends on the set.
\end{conf-abstract} % Do not alter this line!