50 citations · 503 across the 39 of their papers we have counts for
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Mean First Passage Time of the Symmetric Noisy Voter Model with Arbitrary Initial and Boundary Conditions
Rytis Kazakevičius, Aleksejus Kononovicius
Models of imitation and herding behavior often underestimate the role of individualistic actions and assume symmetric boundary conditions. However, real-world systems (e.g., electo…
Immediate recapture in the trapping-detrapping process of a single charge carrier
Aleksejus Kononovicius, Bronislovas Kaulakys
Previously we have shown that pure 1/f noise arises from the trapping-detrapping process when traps are heterogeneous. Namely, the trapping-detrapping process relies on the assumpt…
Anomalous diffusion and long-range memory in the scaled voter model
Rytis Kazakevičius, Aleksejus Kononovicius
We analyze the scaled voter model, which is a generalization of the noisy voter model with time-dependent herding behavior. We consider the case when the intensity of herding behav…
Resemblance of the power-law scaling behavior of a non-Markovian and nonlinear point processes
Aleksejus Kononovicius, Rytis Kazakevičius, Bronislovas Kaulakys
We analyze the statistical properties of a temporal point process driven by a confined fractional Brownian motion. The event count distribution and power spectral density of this n…
Anomalous diffusion in nonlinear transformations of the noisy voter model
Rytis Kazakevičius, Aleksejus Kononovicius
Voter models are well known in the interdisciplinary community, yet they haven't been studied from the perspective of anomalous diffusion. In this paper we show that the original v…
Stochastic dynamics of N correlated binary variables and non-extensive statistical mechanics
A. Kononovicius, J. Ruseckas
The non-extensive statistical mechanics has been applied to describe a variety of complex systems with inherent correlations and feedback loops. Here we present a dynamical model b…