13 citations · 13 across the 1 of their papers we have counts for
8 papers
Binary-state dynamics on complex networks: Stochastic pair approximation and beyond
Antonio F. Peralta, Raul Toral
Theoretical approaches to binary-state models on complex networks are generally restricted to infinite size systems, where a set of non-linear deterministic equations is assumed to…
Pair approximation for the noisy threshold -voter model
A. R. Vieira, Antonio F. Peralta, Raul Toral +2
In the standard -voter model, a given agent can change its opinion only if there is a full consensus of the opposite opinion within a group of influence of size . A more real…
Reduction from non-Markovian to Markovian dynamics: The case of aging in the noisy-voter model
Antonio F. Peralta, Nagi Khalil, Raul Toral
We study memory dependent binary-state dynamics, focusing on the noisy-voter model. This is a non-Markovian process if we consider the set of binary states of the population as the…
Ordering dynamics in the voter model with aging
Antonio F. Peralta, Nagi Khalil, Raul Toral
The voter model with memory-dependent dynamics is theoretically and numerically studied at the mean-field level. The `internal age', or time an individual spends holding the same s…
Herding and idiosyncratic choices: Nonlinearity and aging-induced transitions in the noisy voter model
Oriol Artime, Adrián Carro, Antonio F. Peralta +3
We consider the herding to non-herding transition caused by idiosyncratic choices or imperfect imitation in the context of the Kirman Model for financial markets, or equivalently t…
Aging-induced continuous phase transition
Oriol Artime, Antonio F. Peralta, Raúl Toral +2
Aging is considered as the property of the elements of a system to be less prone to change states as they get older. We incorporate aging into the noisy voter model, a stochastic m…