19 citations · 102 across the 11 of their papers we have counts for
11 papers
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…
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…
Understanding the nature of the long-range memory phenomenon in socioeconomic systems
Rytis Kazakevicius, Aleksejus Kononovicius, Bronislovas Kaulakys +1
In the face of the upcoming 30th anniversary of econophysics, we review our contributions and other related works on the modeling of the long-range memory phenomenon in physical, e…
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…
Influence of external potentials on heterogeneous diffusion processes
Rytis Kazakevicius, Julius Ruseckas
In this paper we consider heterogeneous diffusion processes with the power-law dependence of the diffusion coefficient on the position and investigate the influence of external for…