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…
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…
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…
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…