10 citations · 36 across the 17 of their papers we have counts for
3 papers · 1 filter
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…
Self-switching random walks on Erdös-Rényi random graphs feel the phase transition
Giulio Iacobelli, Guilherme Ost, Daniel Y. Takahashi
We study random walks on Erdös-Rényi random graphs in which, every time the random walk returns to the starting point, first an edge probability is independently sampled according…
Generalized Excited Random Walks under Bernoulli excitations
Rodrigo B. Alves, Giulio Iacobelli, Glauco Valle +1
We study a variant of the Generalized Excited Random Walk (GERW) on introduced by Menshikov, Popov, Ramírez and Vachkovskaia in [Ann. Probab. 40 (5), 2012]. It consi…