5 papers · 1 filter
Collision Properties in Discrete and Continuous Time on Bounded-Degree Graphs
Jhon Astoquillca
We prove that, on every connected bounded-degree graph, the infinite collision property holds in discrete time if and only if it holds in constant-speed continuous time, and the sa…
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…
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…
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…
On the stationary measures of two variants of the voter model
Jhon Astoquillca
In the voter model, vertices of a graph (interpreted as voters) adopt one out of two opinions (0 and 1), and update their opinions at random times by copying the opinion of a neigh…