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published Janos Engländer, Giulio Iacobelli, Gábor Pete, Rodrigo Ribeiro. "Structural results for the tree builder random walk." The Annals of Applied Probability. 35 (2) 2025.
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 $n$, she adds a leaf to her current vertex with probability...
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preprint Rodrigo Ribeiro. "A Martingale Approach to Large-$θ$ Ewens-Pitman Model." 2025.
We investigate the asymptotic behavior of the number of parts $K_n$ in the Ewens--Pitman partition model under the regime where the diversity parameter is scaled linearly with the sample size, that...
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preprint Pamela E. Harris, Rodrigo Ribeiro, Mei Yin. "Probabilistic $(m,n)$-Parking Functions." 2025.
In this article, we establish new results on the probabilistic parking model (introduced by Durm\'ic, Han, Harris, Ribeiro, and Yin) with $m$ cars and $n$ parking spots and probability parameter...
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accepted Rodrigo Ribeiro. "Renewal structure of the Tree Builder Random Walk." Stochastic Processes and their Applications. 2025.
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 seen as a subclass...
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Posts
Writing the TBRW R package
In developing the R package `tbrw` for simulating the Tree Builder Random Walk (TBRW), my initial use of the graph management library `igraph` quickly revealed severe efficiency limitations for...
Simulating the Tree Builder Random Walk in R with tbrw
The tbrw R package enables easy simulation and visualization of the Tree Builder Random Walk (TBRW), a stochastic process where a walker dynamically expands a tree by adding new vertices at each...