Reduction from non-Markovian to Markovian dynamics: The case of aging in the noisy-voter model

• DOI: 10.1088/1742-5468/ab6847
• ArXiv number: 1910.13976

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 description variables, or Markovian if we incorporate `"age", related to the time one has spent holding the same state, as a part of the description. We show that, in some cases, the model can be reduced to an effective Markovian process, where the age distribution of the population rapidly equilibrates to a quasi-steady state, while the global state of the system is out of equilibrium. This effective Markovian process shares the same phenomenology of the non-linear noisy-voter model and we establish a clear parallelism between these two extensions of the noisy-voter model.

• Full paper

Related research projects

PACSS

Physics approach to complexity in sociotechnical systems

P.I.: Sandro Meloni, Jose Javier Ramasco, Maxi San Miguel, Raúl Toral

This project, Physics approach to complexity in sociotechnical systems (PACSS), wants to contribute to the understanding of sociotechnical phenomena from the perspective provided by the application of the modern field of complex …

PACSS (UIB)

Physics approach to complexity in sociotechnical systems

P.I.: Raúl Toral

This project, Physics approach to complexity in sociotechnical systems (PACSS), wants to contribute to the understanding of sociotechnical phenomena from the perspective provided by the application of the modern field of complex …

MdM-1

Unidad de Excelencia María de Maeztu

P.I.: Ingo Fischer, Claudio Mirasso

-