# Tree Builder Random Walk beyond uniform ellipticity

@inproceedings{Englander2021TreeBR, title={Tree Builder Random Walk beyond uniform ellipticity}, author={J'anos Englander and Giulio Iacobelli and Rodrigo Ribeiro}, year={2021} }

We investigate a self-interacting random walk, whose dynamically evolving environment is a random tree built by the walker itself, as it walks around. At time n = 1, 2, . . . , right before stepping, the walker adds a random number (possibly zero) Zn of leaves to its current position. We assume that the Zn’s are independent, but, importantly, we do not assume that they are identically distributed. We obtain non-trivial conditions on their distributions under which the random walk is recurrent…

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