Research

Research Interests

• Functional Analysis.

• Nonlinear Analysis: Fixed point theory.

• Infinite Combinatorics.

• Mathematical Economics.

• Mathematics and Nanotechnology.

Publications in Journals

1. Duality for spaces of polynomials on tree spaces

with C. Boyd and M. Venkova, 

Journal of Mathematical Analysis and Applications 524, no.2, 127079, 2023. article

2. Study of the hypergeometric equation via data driven Koopman-EDMD theory

with E. Melas, E. Camouzis, J. Leventides, N. Poulios

Axioms, vol. 12, no. 2, 134, 2023. article

3. Extended dynamic mode decomposition for two paradigms of non-linear dynamical systems

with J. Leventides, E. Melas,

Journal of the Franklin Institute vol. 360, no. 3 (2023), p. 2234-2264. article

4. Analysis of chaotic economic models through Koopman operators, EDMD, Takens' theorem and Machine Learning 

with J. Leventides, E. Melas, P. Boufounou,

Data Science in Finance and Economics, vol. 2, no.4, (2022) pp. 416-436. article

5. Extended dynamic mode decomposition for cyclic macroeconomic data

with J. Leventides, E. Melas,

Data Science in Finance and Economics 2, no. 2, (2022), pp. 117-146. article 

6. A discrete dynamics approach to interbank financial contagion

with J. Leventides, E. Camouzis,

IMA Journal of Mathematical Control and Information 39, no.2, (2022) p. 409-442. article

7. Random matrices and uncontrollability of dynamical systems

with J. Leventides and N. Poulios

IMA Journal of Mathematical Control and Information 39 no.2, (2022) p. 371-382. article

8. Koopman operators and the 3x+1-dynamical system

with J. Leventides,

SIAM J. Appl. Dyn. Syst. 20, no. 4 (2021), pp. 1773-1813. article

9. Designing GDP-linked bonds with default

with J. Leventides, E. Melas, P. Boufounou, R.A. Leventides  

Applied Economics Quarterly, vol. 67, no. 4 (2021), p. 311-335. article

10. Mathematical analysis of nanostructured surfaces: The period-scale transform

with V. Constantoudis, 

Hindawi, Mathematical Problems in Engineering, Volume 2021, Article ID 5533673, 14 pages. article

11. Systems theory and analysis of the implementation of non pharmaceutical policies for the mitigation of the COVID-19 pandemic

with J. Leventides, A.G. Tsiatsios, M. Livada, S. Tsipras, K. Lefcaditis, P. Sargenti, A. Sargenti,

Journal of Dynamics and Games 8, no. 3 (2021), 167-186. article

12. Mapping GDP linked bonds: the case of the Greek economy

with J. Leventides, E. Melas, R. A. Leventides,

Greek Economic Outlook, Centre of Planning and Economic Research (KEPE) 46, (2021), pp. 49-62. article

13. Injective tensor products of tree spaces

with C. Boyd and M. Venkova, 

Stud. Math. 246, No.1 (2019), 1-29.

14. The fixed point property and the Opial condition on tree-like Banach spaces

Rocky Mountain J. Math. 45, No. 4 (2015), 1245-1282.

15. The fixed point property in a Banach space isomorphic to $c_0$

Comment. Math. Univ. Carolin. 55, No. 2 (2014), 195-202.

16. Non-separable tree-like Banach spaces and Rosenthal's $\ell_1$-theorem

Stud. Math. 221, No. 1 (2014), 1-12.

17. Some combinatorial principles for trees and applications to tree-sequences in Banach spaces

with A. Tsarpalias, 

Math. Logic Quart. 60, No. 1-2 (2014), 70-83.

18. Regular methods of summability on tree-sequences in Banach spaces

Proc. Amer. Math. Soc. 139, No. 1 (2011), 259-271. 

19. Regular methods of summability in some locally convex spaces

Comment. Math. Univ. Carolin. 50, No. 3 (2009), 401-411.

Book Chapters

1. Koopman Operators and Extended Dynamic Mode Decomposition for Economic Growth Models in Terms of Fractional Derivatives

with J. Leventides, E. Melas, P. Boufounou

Essays on Financial Analytics. Alphonse, P., Bouaiss, K., Grandin, P., Zopounidis, C. (eds) Lecture Notes in Operations Research. Springer, Cham, pp. 37-44, 2023. article

2. The dynamics of interbank networks

with J. Leventides, M. Livada

Discrete Mathematics and Applications, M. Th. Rassias, A. Raigorodskii (Eds.), pp. 369-395. Springer Optimization and Its Applications 165, Springer, Cham, 2020.  article

Conference Papers

1. Understanding Money Distribution in Closed Economic Systems: A Graph Theoretical Approach with Quantum Random Walks

with G. A. Tsiatsios, E. Melas, J. Leventides

5th International Conference on Industrial Artificial Intelligence, August 21-24, 2023 Shenyang, Liaoning, China.

2. Simulating Market Concentration and Capital Distribution: Insights into Firm Dynamics and Economic Inequality

with G. A. Tsiatsios, J. Leventides, E. Melas

5th International Conference on Industrial Artificial Intelligence, August 21-24, 2023 Shenyang, Liaoning, China.

3. Data arising from hyperchaotic financial systems. Control through Koopman operators and EDMD

with J. Leventides, E. Melas, A. Vardulakis

4th International Conference on Industrial Artificial Intelligence, August 24-27, 2022 Shenyang, Liaoning, China. article

4. Koopman operators and Extended Dynamic Mode Decomposition for a pair of forward and reverse chemical reactions which occur simultaneously

with J. Leventides, E. Melas 

4th International Conference on Industrial Artificial Intelligence, August 24-27, 2022 Shenyang, Liaoning, China. article

5. Koopman operators and Extended dynamic mode decomposition for the inverted pendulum

with J. Leventides, E. Melas 

4th International Conference on Industrial Artificial Intelligence, August 24-27, 2022 Shenyang, Liaoning, China. article

6. EDMD methods for analysis and prediction of bilinear compartmental models

with  J. Leventides, E. Melas

4th International Conference on Industrial Artificial Intelligence, August 24-27, 2022 Shenyang, Liaoning, China. article

7. An operator theoretic approach to the 3x+1-dynamical system

with J. Leventides 

Proceedings of the 24th International Symposium on Mathematical Theory of Networks and Systems MTNS 2020, Cambridge, United Kingdom

IFAC-PapersOnLine, vol. 54 no. 9, 2021, pp. 225-230 article

8. Dynamical systems and interbank networks

with J. Leventides

Proceedings of the 24th International Symposium on Mathematical Theory of Networks and Systems MTNS 2020, Cambridge, United Kingdom

IFAC-PapersOnLine, vol. 54 no. 9, 2021, pp. 90-94 article

9. Computational nanometrology of nanostructures: the challenge of spatial complexity

with V. Constantoudis, M. Chatzigeorgiou, G. Papavieros

Proceedings of the 18th International Congress of Metrology, Article number 13001, 8 pages, Paris, France, September 19-21, 2017. article