10 citations · 36 across the 17 of their papers we have counts for
11 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…
A note on transience of generalized many-dimensional excited random walks
Rodrigo B. Alves, Giulio Iacobelli, Glauco Valle
We consider a variation of the Generalized Excited Random Walk (GERW) in dimension where the lower bound on the drift for excited jumps is time-dependent and decays to zer…
Generalized Many-Dimensional Excited Random Walk in Bernoulli Environment
Rodrigo B. Alves, Giulio Iacobelli, Glauco Valle
We study an extension of the generalized excited random walk (GERW) on introduced in [Ann. Probab. 40 (5), 2012, [7]] by Menshikov, Popov, Ramírez and Vachkovskaia.…
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…
Self-Switching Markov Chains: emerging dominance phenomena
S. Gallo, G. Iacobelli, G. Ost +1
In many dynamical systems in nature, the law of the dynamics changes along with the temporal evolution of the system. These changes are often associated with the occurrence of cert…
Tree Builder Random Walk: recurrence, transience and ballisticity
Giulio Iacobelli, Rodrigo Ribeiro, Glauco Valle +1
The Tree Builder Random Walk is a special random walk that evolves on trees whose size increases with time, randomly and depending upon the walker. After every s steps of the walke…
The end time of SIS epidemics driven by random walks on edge-transitive graphs
Daniel Figueiredo, Giulio Iacobelli, Seva Shneer
Network epidemics is a ubiquitous model that can represent different phenomena and finds applications in various domains. Among its various characteristics, a fundamental question…
Transient and Slim versus Recurrent and Fat: Random Walks and the Trees they Grow
Giulio Iacobelli, Daniel R. Figueiredo, Giovanni Neglia
Network growth models that embody principles such as preferential attachment and local attachment rules have received much attention over the last decade. Among various approaches,…
Building your path to escape from home
Daniel R. Figueiredo, Giulio Iacobelli, Roberto I. Oliveira +2
Random walks on dynamic graphs have received increasingly more attention from different academic communities over the last decade. Despite the relatively large literature, little i…