3 papers
math.PR2026
Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation
Jhon Astoquillca, Carlos Martinez-Arevalo
We study collision properties of simple random walks in unimodular random rooted graphs. This work continues the study initiated in~\cite{HutchcroftPeres2015}: under recurrence and…
math.PR2026
Percolation on the stationary distributions of the voter model with stirring
Jhon Astoquillca, Franco Severo, Réka Szabó +1
The voter model with stirring is a variant of the classical voter model on with two possible opinions (0 and 1) that, in addition to copying neighbouring opinions at…
math.PR2026
Ergodicity of the voter model with dynamic anti-voter bonds
Jhon Astoquillca, Daniel Valesin
The voter model with anti-voter bonds is a variant of the classical voter model in which the edges of the underlying graph are assigned signs. At each update, a voter chooses a nei…