Χρήστος

Πελέκης

Επίκουρος Καθηγητής

Τμήμα Μαθηματικών

24, 3ος όροφος ΣΘΕ

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