Papers

1. Evangelos Melas, Nick C . Poulios. (2026). Statistical Investigations in the Collatz Conjecture. Discrete and Continuous Dynamical Systems, American Institute of Mathematical Sciences, Journal of Dynamics and Games (JDG). DOI
2. Costas Poulios and Nick Poulios. Non-local approximation of nonlinear systems arising from ODES via EDMD methods. Under review.
3. Leventides, J., Melas, E., Poulios, C., Livada, M., Poulios, N. C., & Boufounou, P. (2024). Application of the Fractal Brownian Motion to the Athens Stock Exchange. Fractal and Fractional, 8(8), 454. DOI
4. Leventides, Livada, Poulios, and Poulios J. Leventides, M. Livada, N. Poulios, and C. Poulios.(2024a) Asset distribution evolution via random transactions. Machine Learning and Big Data Analytics.
5. Melas, E., Poulios, C., Camouzis, E., Leventides, J., & Poulios, N. (2023). Study of the Hypergeometric Equation via Data Driven Koopman-EDMD Theory. Axioms, 12(2), 134. DOI
6. John Leventides, Nick Poulios, Costas Poulios, Random matrices and controllability of dynamical systems, IMA Journal of Mathematical Control and Information, Volume 39, Issue 2, June 2022, Pages 371–382, DOI
7. J Leventides, N Karcanias, N C Poulios, The notion of almost zeros and randomness, IMA Journal of Mathematical Control and Information, Volume 39, Issue 2, June 2022, Pages 460–475, DOI.

In collected volumes

1. Poulios, N.C., Melas, E., Livada, M. (2025). The Minimum Cost Energy Flow Problem Under Demand Uncertainty. Effect on Optimal Solution, Variability, Worst- and Best-Case Scenarios. In: Nikeghbali, A., Pardalos, P.M., Rassias, M.T. (eds) Optimization, Discrete Mathematics and Applications to Data Sciences. Springer Optimization and Its Applications, vol 220. Springer, Cham. DOI
2. Poulios, C., Melas, E., Poulios, N.C., Livada, M., Leventides, J. (2025). A Mathematical Study of the Braess’s Paradox Within a Network Comprising Four Nodes, Five Edges, and Linear Time Functions. In: Nikeghbali, A., Pardalos, P.M., Rassias, M.T. (eds) Optimization, Discrete Mathematics and Applications to Data Sciences. Springer Optimization and Its Applications, vol 220. Springer, Cham. DOI
3. Livada, M., Melas, E., Poulios, N.C. (2025). Demand Aggregation and Mid-Term Energy Planning Problem on the Business Layer. In: Nikeghbali, A., Pardalos, P.M., Rassias, M.T. (eds) Optimization, Discrete Mathematics and Applications to Data Sciences. Springer Optimization and Its Applications, vol 220. Springer, Cham. DOI
4. Leventides, J., Poulios, N. (2020). Diffusion on Dynamical Interbank Loan Networks. In: Raigorodskii, A.M., Rassias, M.T. (eds) Discrete Mathematics and Applications. Springer Optimization and Its Applications, vol 165. Springer, Cham. DOI

Preprints

1. Nick C. Poulios. (2026). Knowledge Graphs for Engineers. A Practical Guide for Energy Systems. DOI