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math.PR2026
The frog model with death and drift on free products of complete graphs
Nancy Garcia, Élcio Lebensztayn, Jaime Utria
We study the frog model with death and drift on , the free product of copies of the complete graph of order . Active and inactive particles are located a…
math.PR2019
A new upper bound for the critical probability of the frog model on homogeneous trees
Elcio Lebensztayn, Jaime Utria
We consider the interacting particle system on the homogeneous tree of degree , known as frog model. In this model, active particles perform independent random walks, awak…
math.PR2018
Phase transition for the frog model on biregular trees
Elcio Lebensztayn, Jaime Utria
We study the frog model with death on the biregular tree . Initially, there is a random number of awake and sleeping particles located on the vertices of the…