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Πελέκης

Επίκουρος Καθηγητής

Τμήμα Μαθηματικών

24, 3ος όροφος ΣΘΕ

Ερευνητικά Ενδιαφέροντα
Θεωρία Παιγνίων Θεωρία Πιθανοτήτων Συνδυαστική Διακριτά Μαθηματικά Θεωρία Μέτρου Βελτιστοποίηση
Δημοσιεύσεις
  1. (Joint with Steve Alpern and Robbert Fokkink) A proof of the Kikuta–Ruckle Conjecture on cyclic caching of resources, Journal of Optimization Theory and Applications (2012)
  2. (Joint with Robbert Fokkink and Joram op den Kelder) How to poison your mother-in-law, and other caching problems, Chapter 10 in Search Theory: A Game Theoretic Perspective, (2013)
  3. (Joint with Moritz Schauer) Network coloring and colored coin games, Chapter 4 in Search Theory: A Game Theoretic Perspective, (2013)
  4. Bernoulli trials of fixed parity, random and randomly oriented graphs, Graphs and Combinatorics (2016)
  5. (Joint with Jan Ramon) A lower bound on the probability that a binomial random variable is exceeding its mean,  Statistics & Probability Letters (2016)
  6. A Generalized Isodiametric Problem,  Geombinatorics Quarterly (2016)
  7. (Joint with Jan Ramon and Yuyi Wang) Hölder-type inequalities and their applications to concentration and correlation bounds,  Indagationes Mathematicae (2017)
  8. (Joint with Jan Ramon) Hoeffding’s inequality for sums of dependent random variables, Mediterranean Journal of Mathematics (2017)
  9. (Joint with Jan Ramon and Yuyi Wang) On the Bernstein-Hoeffding method , Bulletin of the Hellenic Mathematical Society (2018)
  10. (Joint with Israel Rocha) A generalisation of Erdös’ matching conjecture,  The Electronic Journal of Combinatorics (2018)
  11. On the Shannon entropy of the number of vertices with zero in-degree in randomly oriented hypergraphs,  Le Matematiche (2019)
  12. (Joint with Martin Doležal and Themis Mitsis) The de Bruijn–Erdös theorem from a Hausdorff measure point of view,  Acta Mathematica Hungarica (2019)
  13. (Joint with Themis Mitsis and Václav Vlasák) A continuous analogue of Erdös’ k-Sperner theorem,  Journal of Mathematical Analysis and Applications (2020)
  14. (Joint with Václav Vlasák) On k-antichains in the unit n-cube,  Publicationes Mathematicae Debrecen (2020)
  15. (Joint with Konrad Engel, Themis Mitsis and Christian Reiher) Projection inequalities for antichains,  Israel Journal of Mathematics (2020)
  16. (Joint with Jan Hladky and Matas Šileikis) A limit theorem for small cliques in inhomogeneous random graphs,  Journal of Graph Theory (2021)
  17. (Joint with Martin Doležal, Jan Hladky, Jan Kolar, Themis Mitsis and Václav Vlasák) A Turán-type theorem for large-distance graphs in Euclidean spaces, and related isodiametric problems,  Discrete and Computational Geometry (2021)
  18. (Joint with Panagiotis Promponas, Eirini-Eleni Tsiropoulou and Symeon Papavassiliou) Games in Normal and Satisfaction Form for Efficient Transmission Power Allocation Under Dual 5G Wireless Multiple Access Paradigm,  IEEE/ACM Transactions on Networking (2021)
  19. (Joint with Panagiotis Promponas, Juan Alvarado, Eirini-Eleni Tsiropoulou and Symeon Papavassiliou) A Fragile multi-CPR Game,  Mathematical Methods of Operations Research (2021)
  20. (Joint with Robbert Fokkink and Symeon Papavassiliou) On the monotonicity of tail probabilities,  Probability and Mathematical Statistics (2022)
  21. (Joint with Maria Diamanti, Nikolaos Fryganiotis, Symeon Papavassiliou and Eirini-Eleni Tsiropoulou) On the Minimum Collisions Assignment Problem in Interdependent Networked Systems, IEEE Symposium on Computers and Communications (ISCC) (2022)
  22. (Joint with Robbert Fokkink and Ludolf Meester) Optimizing stakes in simultaneous bets, ALEA, Latin American Journal of Probability and Mathematical Statistics (2023)
  23. (Joint with Nikolaos Fryganiotis and Symeon Papavassiliou) A note on the network coloring game: A randomized distributed (Δ+1)-coloring algorithm,  Information Processing Letters (2023)
  24. (Joint with Maria Diamanti, Eirini-Eleni Tsiropoulou and Symeon Papavassiliou) Delay Minimization for Rate-Splitting Multiple Access-Based Multi-Server MEC Offloading,  IEEE/ACM Transactions on Networking (2023)
  25. (Joint with Panagiotis Promponas, Eirini-Eleni Tsiropoulou and Symeon Papavassiliou) Risk-Aware Satisfaction Equilibria in Resource Sharing Games, IEEE Transactions on Automatic Control (2025)
  26. (Joint with Jianhang Ai) On lower bounds for hypergeometric tails, Statistics & Probability Letters (2026)