3 papers
math.PR2026
Percolation on hierarchical lattices
Caio Alves, Rangel Baldasso, Carlos Gustavo Moreira +1
We consider independent Bernoulli percolation on top of sequences of hierarchical graphs. Given a graph with two distinguished vertices and , the hierarchica…
math.PR2026
Percolation phase transition on planar spin systems
Caio Alves, Gideon Amir, Rangel Baldasso +1
In this article we study the continuity and sharpness of the phase transition for percolation models defined on top of planar spin systems. The two examples that we treat in detail…
math.PR2026
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…