Distances in sparse sets of large Hausdorff dimension

The distance set of a set E consists of all non-negative numbers
that represent distances between pairs of points in E. If E is quantifiably
large, how large is its distance set? How does the structure of E influence
the distribution of its distances? Questions of this nature play a
fundamental role in geometric measure theory. This talk will report on
joint work with Senthil Raani, investigating various properties of
distances generated by sparse (less than full-dimensional) Euclidean sets.

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Meeting ID: 654 3817 1027
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