Professor Pieter Allaart invites you to attend the

Master's Defense of Johanson Berlie

"Graph self-similarity and the Hausdorff dimension of the Heighway Dragon boundary"

ABSTRACT:

For self-similar sets with the open set condition, the Hausdorff dimension is given as the solution to the Moran equation. In 1988 R.D. Mauldin and S.C. Williams introduced the concept of graph self-similarity, a useful generalization to self-similarity. They proved the formula for the Hausdorff dimension of these sets. We will present this result with proof and apply it to the boundary of the Heighway Dragon.