# Correspondence between fractal sets and trees

In Hillel Furstenberg's series lectures on ergodic theory in fractal geometry, he mentioned his search on finding a one-to-one correspondence between fractal sets and trees, however, I couldn't not find any material online about this. Does anyone have reference on that?

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Cross-posted (under the name Rob): math.stackexchange.com/questions/422449/… –  Benjamin Dickman Jun 17 '13 at 11:22