Highlights
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 blog about my research interests on Physics of Risk.
Recent papers:
- Mean first passage time of the symmetric noisy voter model with arbitrary initial and boundary conditions. Here, we have derived a more general analytical expression for the mean first-passage time of the symmetric noisy voter model. Our result improves upon previously known formulas by allowing arbitrary selection of initial and boundary conditions. Furthermore, our expressions are valid for any value of independent transition rates, as long as both rates are equal. We show that asymmetric boundary conditions induce asymmetry in the mean first-passage time as well, which becomes more pronounced when independent transition rates are larger.
- 1/f noise in semiconductors arising from the heterogeneous detrapping process of individual charge carriers. Here, we have extended our previous approach by providing an explicit explanation, based on Boltzmann distribution and Arrhenius law, for the power-law distribution of detrapping times. This has allowed us to derive a compact expression for Hooge's empirical parameter. Our exploration also sheds a light on spurious low-frequency cutoffs in finite observations of 1/f noise.
- Delayed interactions in the noisy voter model through the periodic polling mechanism. Here, we consider a variation of the noisy voter model in which interactions occur (or, peer pressure is exerted) only through the periodic public polls. We have shown that periodic polling mechanism has a stabilizing effect on the system (variance of the stationary opinion distribution decreases as polling period grows larger). When there is also a delay in announcing the poll outcome, the scaling behavior of stationary opinion distribution is non-trivial. Namely, in this case there is an optimal delay for which the stabilizing effect is strongest. Furthermore, this paper introduces a novel type of delay, which effectively freezes not the opinions of agents themselves (already explored in other works), but the perception of their peers opinions.
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