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math.PR2026
Exponential Bounds and Analyticity for the Tree Builder Random Walk
Caio Alves, Rodrigo Ribeiro
In this work we investigate a class of random walks that interacts with its environment called Tree Builder Random Walk (TBRW). In our settings, at each step, the walker adds a ran…
math.PR2024
Structural results for the Tree Builder Random Walk
Janos Engländer, Giulio Iacobelli, Gábor Pete +1
We study the Tree Builder Random Walk: a randomly growing tree, built by a walker as she is walking around the tree. Namely, at each time , she adds a leaf to her current vertex…