Students

We are always happy to accept students from different backgrounds (physics, mathematics, social sciences) who would be interested in complex socio-economic systems. Having good skills in programming or mathematics would be extremely helpful as well as having a good grasp of statistical physics or social sciences, but these are surely not mandatory as with proper determination and with enough effort anything can be learnt.

If you are interested, feel free to contact us. We will try to schedule a meeting to find a problem you could tackle.

Offered topics

Following topics are offered officially via Faculty of Physics during the 2024-2025 academic year.

"Research of stochastic opinion dynamic model with fractional inflow of new opinions". Supervisor Vygintas Gontis.
"Determination of anomalous diffusion duration in an inhomogeneous environment". Supervisor Rytis Kazakevičius.
"Estimation of the anomalous diffusion exponent using a machine-learning-based approach". Supervisor Rytis Kazakevičius.
"Estimation of surface roughness using the fractal dimension". Supervisor Rytis Kazakevičius.
"Modeling charge carrier trapping in semiconductors: Surface vs bulk dynamics". Supervisor Rytis Kazakevičius.
"Modeling heterogeneous media as a noisy harmonic oscillator with friction fluctuations". Supervisor Rytis Kazakevičius.
"Investigation of the emergence of anomalous diffusion in chaotic systems". Supervisor Rytis Kazakevičius.
"Latent individual particle state flipping in the voter model". Supervisor Aleksejus Kononovicius.

Completed theses and internships

Theses: 19 (11 BSc + 5 MSc + 3 PhD)

Internships: 6

"Influence of the state interaction network on the statistical properties of the voter model" (2024). Internship was supported by Research Council of Lithuania (P-SV-24-28). Intern Lukas Turčinskas (Vilnius University, Faculty of Mathematics and Informatics). Supervisor Aleksejus Kononovicius.
"Influence of boundary conditions on self-similar processes" (2024). Bachelor thesis by Danielius Kundrotas. Supervisor Rytis Kazakevičius.
"Approximation of the competing dynamics compartmental voter model using a one-dimensional Fokker-Planck equation" (2024). Master thesis by Justas Kvedaravičius. Supervisor Aleksejus Kononovicius.
"Rank dynamics of compartmental voter model" (2023-2024). Internship supported by Research Council of Lithuania (S-ST-23-122). Intern Justas Kvedaravičius. Supervisor Aleksejus Kononovicius.
"Processes described by q-exponential waiting time distributions" (2023). Bachelor thesis written by Gediminas Jonikas. Supervisor Vygintas Gontis.
"Scaling of empirical compartmental distributions" (2022). Bachelor thesis written by Justas Kvedaravičius. Supervisor Aleksejus Kononovicius.
"The joint model of kinetic wealth exchange and investment" (2020). Bachelor thesis by Giedrius Pakalka. Supervisor Vygintas Gontis.
"First passage time of birth-death processes" (2019). Master thesis by Ignas Kazakevičius. Supervisor Vygintas Gontis.
"Imitative model of opinion dynamics" (2018). Bachelor thesis by Edvinas Butiškis. Supervisor Vygintas Gontis.
"Spatio-temporal behavior in continuum surface growth models" (2017). PhD thesis by Vaidas Juknevičius. Supervisor Bronislovas Kaulakys.
"Complex nonlinear system affected by colored and non-Gaussian external noise" (2017). PhD thesis by Rytis Kazakevičius. Supervisor Julius Ruseckas.
"Power spectrum analysis of a point process driven by the fractional Gaussian noise" (2017). Bachelor thesis by Lukas Bagdonavičius. Supervisor Aleksejus Kononovicius.
"Diffusion model of Sąjūdis growth" (2017). Bachelor thesis by Jonas Tupčiauskas. Supervisor Aleksejus Kononovicius.
"Modeling of the Sąjūdis growth by using interacting agent-based model" (2016). "Mokslo Pieva" internship project (organized by BPTI, financial support by ESO). Interns: Brigita Čelkytė, Goda Damaševičiūtė, Milda Venckutė and Ugnė Šiurienė (various faculties at Vilnius University). Supervisors: Tomas Žalandauskas (BPTI), Ainė Ramonaitė (VU IIRPS), Julius Ruseckas (VU ITPA) and Aleksejus Kononovicius (VU ITPA).
"Applications of statistical physics in modeling of financial markets and social processes" (2015). PhD thesis by Aleksejus Kononovicius. Supervisor Vygintas Gontis.
"Controlling complex stochastic systems" (2013). Internship supported by the Research Council of Lithuania (VP1-3.1-ŠMM-01-V-02-003). Intern Ignas Kazakevičius. Supervisor Aleksejus Kononovicius.
"Economic convergence as thermodynamic appreciation of real currency exchange rate" (2013). Internship supported by the Research Council of Lithuania (VP1-3.1-ŠMM-01-V-02-003). Intern Ignas Kazakevičius. Supervisor Vygintas Gontis.
"Statistical properties of nonlinear systems affected by Gaussian and non-Gaussian noise" (2013). Master thesis by Rytis Kazakevičius. Supervisor Bronislovas Kaulakys.
"Microscopic and macroscopic modeling of Kirman interaction between three agent groups" (2012). Master thesis by Petras Purlys. Supervisor Vygintas Gontis.
"Microscopic reasoning for the stochastic models" (2011). Master thesis by Aleksejus Kononovicius. Supervisor Vygintas Gontis.
"Modeling of currents low frequency fluctuations by stochastic differential equations" (2011). Bachelor thesis by Rytis Kazakevičius. Supervisor Bronislovas Kaulakys.
"The spin model of stock market" (2010). Bachelor thesis by Alexander Ivanov. Supervisor Vygintas Gontis.
"Comparison of econophysics financial market models and empirical data using investment strategies" (2009). Bachelor thesis by Aurimas Kubeldzis. Supervisor Vygintas Gontis.
"Modeling stock return in financial markets" (2009). Bachelor thesis by Aleksejus Kononovicius.
"Modeling of word statistics in literature as well as modeling of trading activity in financial markets" (2007). Internship supported by Research Council of Lithuania. Intern Aleksejus Kononovicius. Supervisor Vygintas Gontis.