Eszterházy Károly College
Tibor Tómács
Dr. Tibor Tómács
College Associate Professor
   
Department of Applied Mathematics
Institute of Mathematics and Informatics
Eszterházy Károly College
Eger, Leányka str. 4. H-3300 Hungary
   
e-mail: tomacs[at]ektf.hu

Institute of Mathematics and Informatics

Fields of interest


In probability theory
  • strong laws of large numbers 
  • the convergence rates in these
  • almost sure central limit theorems
  • Rosenthal inequalities
  • Hájek-Rényi type inequalities

Teaching experience
  • mathematical analysis
  • history of mathematics
  • probability theory
  • mathematical statistics
  • bases of economic calculus 
  • computer statistics
  • LaTeX
  • measure theory

  • Biography
  • Born: April 1. 1965. Hatvan (Hungary)
  • 1971-1979: Elementary school
  • 1979-1983: Secondary school 
  • 1983-1984: Served in the Hungarian Army 
  • 1984-1989: Studied mathematics and physics at University of Debrecen
  • 1989: Received the M.Sc.
  • August 1. 1989: College assistant lecturer in Eszterházy Károly College (Eger, Hungary).
  • 1998: College senior lecturer 
  • 2003: College associate professor 
  • June 4. 2004: Confering the degree of PhD in probability theory from the University of Debrecen (in Hungary). 
  • November 7. 2005: A scientific prize of Hungarian Academy of Sciences (Board of Miskolc Region).

  • Publications

    Papers

    1. T. Tómács, On an application of second order linear recurrences, Acta Acad. Paed. Agriensis, Sectio Mathematicae, 21 (1993) 5-13 - in Hungarian.
    2. T. Tómács, Avarage order of the terms of a recursive sequence, Acta Acad. Paed. Agriensis, Sectio Mathematicae, 22 (1994) 31-37 - in Hungarian.
    3. I. Fazekas I., T. Tómács, Graphic teaching of the probability theory, A matematika tanítása, 1996/4. 8-11 - in Hungarian.
    4. K. Liptai, T. Tómács, Pure powers in recurrence sequences, Acta Acad. Paed. Agriensis, Sectio Mathematicae, 24 (1997) 35-40.
    5. I. Fazekas, T. Tómács, Strong laws of large numbers for pairwise independent random variables with multidimensional indices, Publicationes Mathematicae, Debrecen, 53/1-2 (1998) 149-161.
    6. I. Fazekas, O. I. Klesov, Cs. Noszály, T. Tómács, Strong laws of large numbers for sequences and fields, (Proceedings of the Third Ukrainian-Scandinavian Conference in Probability Theory and Mathematical Statistics 8-12 June 1999. Kyiv, Ukraine) Theory of Stochastic Processes, Vol.5 (21) No.3-4, (1999) 91-104.
    7. T. Tómács, A moment inequality for the maximum partial sums with a generalized superadditive structure, Acta Acad. Paed. Agriensis, Sectio Mathematicae, 26 (1999) 75-79.
    8. I. Fazekas, A. G. Kukush, T. Tómács, On the Rosenthal inequality for mixing fields, Ukrainian Math. Journal, 52 No3 (2000) 266-276. (Kluwer Academic/Plenum Publishers 305-318.)
    9. T. Tómács, Convergence of homogeneous matrix-valued Λ-martingales, Acta Acad. Paed. Agriensis, Sectio Mathematicae, 27 (2000) 53-56.
    10. Cs. Noszály, T. Tómács, A general approach to strong laws of large numbers for fields of random variables, Annales Univ. Sci. Budapest, 43 (2000) 61-78.
    11. T. Tómács, Almost sure central limit theorems for m-dependent random fields, Acta Acad. Paed. Agriensis, Sectio Mathematicae, 29 (2002) 91-96.
    12. T. Tómács, Convergence rates in the law of large numbers for arrays of Banach space valued random elements, Statistics & Probability Letters, Volume 72, Issue 1 (2005) 59-69.
    13. T. Tómács, Some special cases of a general convergence rate theorem in the law of large numbers, Annales Mathematicae et Informaticae, 32 (2005) 159-166.
    14. T. Tómács, Zs. Líbor, A Hájek-Rényi type inequality and its applications, Annales Mathematicae et Informaticae, 33 (2006) 141-149.
    15. T. Tómács, A general method to obtain the rate of convergence in the strong law of large numbers, Annales Mathematicae et Informaticae, 34 (2007) 97-102. 
    16. T. Tómács, Convergence rate in the strong law of large numbers for mixingales and superadditive structures, Annales Mathematicae et Informaticae, 35 (2008) 147-154.
    17. T. Tómács, An almost sure limit theorem for α-mixing random fields, Annales Mathematicae et Informaticae, 36 (2009) 123-132. 
    Editorial works
    1. Proceedings of the 6th International Conference on Applied Informatics, Eger, Hungary, (2004). 
    2. Proceedings of the 7th International Conference on Applied Informatics, Eger, Hungary, (2007).
    3. Annales Mathematicae et Informaticae Vol. 32-36 (2005-2009).
    Ph.D. dissertation

    Asymptotic results in probability theory, University of Debrecen, Faculty of Science, Debrecen, Hungary (2003) - in Hungarian.

    Theses
    - in English.

    Summary - in English.