Peter Eliaš

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University studies:
University of P. J. Šafárik in Košice, Faculty of Natural Sciences (1988 – 1993).

Academic degrees:
1998 – RNDr.
2000 – PhD. (advisor: prof. RNDr. Lev Bukovský, DrSc.)

Positions held:
1998 – Mathematical institute of the Slovak Academy of Sciences, Extension in Kosice

Study stays:
1997 – Mathematical institute of University in Bonn, Germany (5 months)

Fields of Interest: General Topology (function spaces, quotient spaces), Real Analysis (harmonic analysis, measure theory), Set Theory (models of set theory, forcing), Category Theory (categorical probability), Logic (formalization of mathematics, theoretical foundations quantum mechanics).

List of Publications:

  1. Eliaš P., A classification of trigonometrical thin sets and their interrelations, Proc. Amer. Math. Soc. 125 (1997), no. 4, 1111–1121. https://doi.org/10.1090/S0002-9939-97-03661-7
  2. Eliaš P., A hierarchy of thin sets related to the boundedness of trigonometric series, Proc. Amer. Math. Soc. 128 (2000), no. 11, 3341–3347. https://doi.org/10.1090/S0002-9939-00-05560-X
  3. Eliaš P., Covering for category and trigonometric thin sets, Proc. Amer. Math. Soc. 131 (2003), no. 10, 3241–3249. https://doi.org/10.1090/S0002-9939-03-06869-2
  4. Eliaš P., On inclusions between Arbault sets, Acta Univ. Carolin. Math. Phys. 44 (2003), no. 2, 65–72.
  5. Eliaš P., Arbault permitted sets are perfectly meager, Tatra Mt. Math. Publ. 30 (2005), no. 1, 135–148.
  6. Eliaš P., Dirichlet sets, Erdos-Kunen-Mauldin theorem, and analytic subgroups of the reals, Proc. Amer. Math. Soc. 139 (2011), no. 6, 2093–2104. https://doi.org/10.1090/S0002-9939-2010-10639-1
  7. Eliaš P., On the convergence of a series mapped by a function, Math. Slovaca 65 (2015), no. 1, 63–78. https://doi.org/10.1515/ms-2015-0007
  8. Eliaš P., Frič R., Factorization of observables, Interat. J. Theoret. Phys. 56 (2017), no. 12, 4037–4083. https://doi.org/10.1007/s10773-017-3436-1
  9. Eliaš P., A Galois connection related to restrictions of continuous real functions, Topology Appl. 265 (2019), 106814. https://doi.org/10.1016/j.topol.2019.07.007
  10. Eliaš P., Frič R, Conditional probability on full Lukasiewicz tribes, Soft Computing 24 (2020), 6521–6529. https://doi.org/10.1007/s00500-020-04762-6
  11. Frič R., Eliaš P., Papčo M., Divisible extension of probability, Math. Slovaca 70 (2020), no. 6, 1445–1456. https://doi.org/10.1515/ms-2017-0441
  12. Antoni Ľ., Eliaš P., Krajči S., Krídlo O., Heterogeneous formal context and its decomposition by heterogeneous fuzzy subsets, Fuzzy Sets and Systems 451 (2022), 361–384. https://doi.org/10.1016/j.fss.2022.05.015
  13. Antoni Ľ., Eliaš P., Horváth T., Krajči S., Krídlo O., Török Cs., Squared Symmetric Formal Contexts and Their Connections with Correlation Matrices. In: Ojeda-Aciego, Sauerwald K., Jäschke R. (eds.), Graph-Based Representation and Reasoning. ICCS 2023. Lecture Notes in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-031-40960-8_2
  14. Krídlo O., López-Rodríguez D., Antoni Ľ., Eliaš P., Krajči S., Ojeda-Aciego M., Connecting concept lattices with bonds induced by external information, Information Sciences 648 (2023), 119498. https://doi.org/10.1016/j.ins.2023.119498
  15. Eliaš P., Antoni Ľ., Krídlo O., Krajči S., Additional Notes on Heterogeneous Concept-Forming Operators. In: Cornejo M., Kóczy L.T., Medina J., Ramírez-Poussa E. (eds.), Computational Intelligence and Mathematics for Tackling Complex Problems 5. Studies in Computational Intelligence, vol. 1127 (2024). Springer, Cham. https://doi.org/10.1007/978-3-031-46979-4_1
  16. Pitka T., Bucko J., Krajči S., Krídlo O., Guniš J., Šnajder Ľ., Antoni Ľ., Eliaš P., Time analysis of online consumer behavior by decision trees, GUHA association rules, and formal concept analysis, J. Market Anal. (2024). https://doi.org/10.1057/s41270-023-00274-y
  17. Antoni Ľ., Eliaš P., Guniš J., Kotlárová D., Krajči S., Krídlo O., Sokol P., Šnajder Ľ., Bimorphisms and attribute implications in heterogeneous formal contexts, Internat. J. Approx. Reason. 172 (2024), 109245. https://doi.org/10.1016/j.ijar.2024.109245
  18. Guniš J., Šnajder Ľ., Antoni Ľ., Eliaš P., Krídlo O., Krajči S., Formal Concept Analysis of Students’ Solutions on Computational Thinking Game, IEEE Transactions on Education (2024). https://doi.org/10.1109/TE.2024.3442612

Presentations on conferences and scientific events