1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
Renewal structure of the Tree Builder Random Walk
Rodrigo Ribeiro
In this paper, we study a class of random walks that build their own tree. At each step, the walker attaches a random number of leaves to its current position. The model can be see…
Recurrence, transience and degree distribution for the Tree Builder Random Walk
János Engländer, Giulio Iacobelli, Rodrigo Ribeiro
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 , right…