| Abstract: |
| The problem of determining the average geodesic distance between two points in a fractal has been addressed by many authors for many different fractals. In this talk, we will survey some of the methods and results in this area, present new results for 2-dimensional generalized Sierpinski carpets, and discuss some of the impediments to extending current methods to higher-dimensional generalizations. This work is joint with Ethan Berkove. |
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