Intro: My name is Aleksejus Kononovicius (lt. Kononovičius). I hold PhD in Physics and currently work as a senior researcher at Institute of Theoretical Physics and Astronomy (Faculty of Physics, Vilnius University). Besides conducting research in Econophysics and Sociophysics, which involves stochastic and agent-based modeling as well as a bit of Data Science, I also teach "Numerical methods I". I blog about my research interests on Physics of Risk.
- Anomalous diffusion in nonlinear transformations of the noisy voter model. Noisy voter models are well known in the interdisciplinary community, yet they haven't been studied from the perspective of the anomalous diffusion. In this paper we have considered how the impact of nonlinear transformations of space and time impact the diffusive behavior of the noisy voter model.
- Supportive interactions in the noisy voter model. Typically voter models include various implementations of recruitment. Yet, as theories in social sciences predict, there is another type of herding interaction. In real life people also predict and reinforce beliefs held by their peers. In this paper we have examined implications of these supportive interactions on the phenomenology of the noisy voter model. The observed phenomenology is quite similar to the aging and freezing phenomena observed in magnetic materials.
- Compartmental voter model. Most models in Sociophysics are observed over time, while the empirical data is quite often spatial. In this paper I have proposed a new kind of voter model, which evolves both in space and time. The proposed model is able to reproduce electoral and census data.
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