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20182026
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math.PR2026

Epidemic Phase Transitions in the Zero-Range Process

Rangel Baldasso, Marcelo R. Hilario, Ian Ornelas

We consider a model for the spread of an infection within an interacting particle system on , generalizing a framework introduced by Kesten and Sidoravicius to a zero…

math.PR2026

No infinite clusters at criticality for two-dimensional dependent percolation under abstract hypotheses

Rangel Baldasso

We establish a general criterion ensuring the absence of infinite connected components at criticality for a broad class of two-dimensional dependent percolation models. Our assumpt…

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.PR2025

Voter Model stability with respect to conservative noises

Gideon Amir, Omer Angel, Rangel Baldasso +1

The notions of noise sensitivity and stability were recently extended for the voter model. In this model, the vertices of a graph have opinions that are updated by uniformly select…

math.PR2025

The voter model on random regular graphs with random rewiring

Luca Avena, Rangel Baldasso, Rajat Subhra Hazra +2

We consider the voter model with binary opinions on a random regular graph with vertices of degree , subject to a rewiring dynamics in which pairs of edges are rewire…

math.PR2024

Random Markov property for random walks in random environments

Julien Allasia, Rangel Baldasso, Oriane Blondel +1

We consider random walks in dynamic random environments and propose a criterion which, if satisfied, allows to decompose the random walk trajectory into i.i.d. increments, and ulti…