7 papers
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…
The contact process on a bipartite spatial network
John Fernley, Christian Hirsch, Daniel Valesin
We study the contact process on a random bipartite connection hypergraph generated from two Poisson point processes, with mark-dependent connection thresholds. For asymmetric infec…
Interface for variants of the contact process
Isabella Alvarenga, Daniel Valesin
We study two one-dimensional variants of the contact process: the contact-and-barrier process, where the population evolves in a region delimited by a randomly moving barrier, and…
Contact process on interchange process
M. Hilário, D. Ungaretti, D. Valesin +1
We introduce a model of epidemics among moving particles on any locally finite graph. At any time, each vertex is empty, occupied by a healthy particle, or occupied by an infected…
Catalan percolation
Eleanor Archer, Ivailo Hartarsky, Brett Kolesnik +3
In Catalan percolation, all nearest-neighbor edges along are initially occupied, and all other edges are open independently with probability . Open edges…