Faculty of Mathematic and Computer Science
2022 august 11, Thursday
Books:

 

 

 

Books:

  1. A valószínűségszámítás elemei, (Introduction to probability theory, in Hungarian), Cluj University Press Printing House, Cluj-Napoca, 2001.

  2. Contraction Methods in Fractal Theory, Cluj University Press Printing House, Cluj-Napoca, 2002.

  3. Random Fractals, in Lectures on nonlinear analysis and its applications, Sapientia Kiadó, Kolozsvár, 2003, 293-366.

  4. A matematikai statisztika elemei, (Introduction to mathematical statistics) ClujUniversity Press Printing House, Cluj-Napoca, 2005.

  5. Probability Theory through Problems ans Applications with Hannelore Lisei and Sanda Micula Cluj University Press, 2006

  6. Kalandozás a valószínűség világában, in: Kiváncsiságvezérelt matematika tanítás, Státus Kiadó, 2010, 207-222.

  7. A Happy Cube puzzle elemzése, (with András Szilárd, Sipos Kinga), in: Kiváncsiságvezérelt matematika tanítás, Státus Kiadó, 2010, 223-255

  8. In lumea probabilitatilor, in Predarea matematicii prin metode bazate pe curiozitate si investigatii, Editura Status, 2013, pp.210-226

  9. Cubul puzzle Happy Cube (with Sz. András, A. Bartos Kocsis, K. Sipos), in Predarea matematicii prin metode bazate pe curiozitate si investigatii, Editura Status, 2013, pp. 227-258

 

Translation

  1. Szirtes Tamás: Dimenzianalzis, Typotex, Budapest, 2006


Editor

  1. Lectures on nonlinear analysis and its applications, Sapientia Kiado, Cluj, 2003

  2. Lectures in functional programming, Springer Verlag, 2008, 304 pages

  3. 140 éves a kolozsvári magyar nyelvű egyetemi oktatás/140 de ani de învăţământ universitar în limba maghiară, Presa Universitară Clujeană, 2013

 

Articles in journals:

  1. Invariant sets in Menger spaces, Studia Univ. Babeş-Bolyai, Mathematica, XLIII, 2(1998), 39-48 (with J.Kolumbán);

  2. Invariant sets of random variables in complete metric spaces, Studia Univ. Babeş-Bolyai, Mathematica, XLVII, 3(2001), 49-66 (with J.Kolumb´an);

  3. Selfsimilar random fractal measures, Electronic Preprint

  4. Random fractal interpolation functions using contraction method in probabilistic metric spaces, (with J. Kolumbán and E. Buzogány ) Annalele Univ. Bucuresti, LI, 1(2002),13-24.

  5. Fixed point theorem in ΛE-spaces,(with J. Kolumbán ) Studia Univ. Babes-Bolyai, Mathematica, XLVII, 4(2002),65-74.

  6. Selfsimilar random measures using contraction methods in probabilistic metric spaces, International Journal of Mathematics and Mathematical Sciences, 52 (2003) 3299-3313 (with J. Kolumbán, V. Varga).

  7. Unsupervised classification for designing speaker identification systems, Studia Univ. Babes-Bolyai, 49, 1(2004), 3-13 (with M.Antal)

  8. Wavelet Approximation of the Solutions of Some Stochastic Differential Equa-tions, Pure Mathematics and Applications (PUMA), (with Hannelore Lisei), 2005, 213-223.

  9. Fractional Brownian Motion using contraction method in probabilistic metric space, Studia Univ. Babes-Bolyai, 49, 4(2004), 107-115.

  10. Mathematical Excursion in Fractal World, Creative Mathematics vol. 14 (2005), Department of Mathematics and Computer Science North University Baia Mare.

  11. Homogenization and Multiple scale expansion, (with Kolumbán Józse), Studia Univ. Babes-Bolyai, 51, 4(2006),129-144.

  12. Invariant sets in ΛE-spaces, PU.M.A. Vol. 17 (2006), No. 34, pp. 118

  13. Diszkrét dinamikus rendszerek és káosz, Alkalmazott Matematikai Lapok (with Kolumbán József), 25(2007), 1-17.

  14. Stochastic homogenization on selfsimilar structures, Proceedings in Applied Mathematics and Mechanics [PAMM], Volume 7, Issue 1 , Pages2080001 - 2080002 Copyright 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim]

  15. Welke Wirrel Warrel is moeilijker?, with András Szilárd, Sipos Kinga, Recreatieve wiskunde, NAW 5/12 nr. 2,(2011), 121-126.]

  16. Approximation of the solution of stochastic differential equations driven by multifractional Brownian motion, Studia Univ. Babes-Bolyai, 54, 2(2011).]

  17. Approximation of Stochastic Differential Equations Driven by Step Fractional Brownian Motion, Annales Univ. Sci.Budapest, Annales Univ. Sci. Budapest., Sect. Comp. 37 (2012) 339354, with Robu Judit

  18. Stochastic Two-scale Convergence and Iterated Function System, Journal of Mathematical Sciences, 2014, Issue 4, pp. 492-497

  19. Self-similar sets and fractals generated by Ciric type operators, Journal of nonlinear science, 8 (2015), pp. 1048-1058, with A. Petrusel

  20. Spline and fractal spline interpolation, Studia Univ. Babes-Bolyai, Mathematica, 1(2015), pp. 193-200, with I. Somogyi

  21. Stochastic fractal interpolation with variable parameter, International Scienti c Journal Journal of Mathematics Issue 2, 1(2015), pp. 28-33, with I. Somogyi

  22. Cantor Type Fixed Sets of Iterated Multifunction Systems Corresponding to Self-Similar Networks, Applied Mathematics, (7) 2016, pp.365-374, with L. Simon

  23. Interpolation methods for multivalued functions, Studia Univ. Babes-Bolyai, Mathematica, (3) 2016, pp. 377-382, with I. Somogyi

  24. Limit sets og graph-driven iterated (multi) function systems, Annales Univ. Sci. Budapest., Sect. Comp. 45 (2016), pp. 183-198, with L. Simon

 

Articles in proceedings:

  1. Fractal analysis of normal and pathological body temperature graphs by children (with Z.Ellenes), Proceeding of the Tiberiu Popoviciu Itinerant Seminar of functional Equations, Approximation and Convexity, Kolozsvár, 2001, 247-255.

  2. Brownian motion and fractal process using contraction method in probabilistic metric spaces, Seminar on Fixed Point Theory Cluj-Napoca, Proceedings of the Inter-national Conference on Nonlinear Operators, Differential Equations and Applications, September 2001, vol. 3 (2002), 369-374.

  3. Fractal functions using contraction method in probabilistic metric spaces,(with J.Kolumbán) Emergent Nature, M. M. Novak (ed) World Scientific, Proceedings of the Conference "Fractal" 2002.03.17-20, Granada, 255-263.

  4. Multiresolution analysis based on Brownian motion, Proceedings of the Inter-national Symposium on Numerical Analysis and Approximation Theory, Cluj-Napoca, 9-11 May 2002, 400-409.

  5. Fractal functions and interpolation, Proceedings of the International Confer-ence XV. DIDMATTECH 2002, Pedagogical Faculty of University of Constantine the Philosopher in Nitra, 318-322.

  6. Fractal analysis of architectural objects,(with Antonio Pedro Lima) Proceedings of I.S.A.M.A., The International Society of The Arts, Mathematics and Architecture, Freiburg, 22-26.2002., ed. D Guderian, 157-164 (2004)

  7. Fractal stochastic process, Proceedings of ICAM 2002, Borsa, 10-13.10.2002,Bul. Stiint. Seria B, Vol. 18(2002) Nr. 2, 341-346.

  8. A new approach to IFS bounding, Seminar on Numerical and Statistical Calculus, 2004, 43-55 (with Z. Bod´o).

  9. Approximation of Stochastic Differential Equations Driven by Fractional Brow-nian Motion, (with Hannelore Lisei), in Seminar on stochastic analysis, random fields and applications V, Progress in Probability 59, Birkhuser Verlag 2007,ISBN 978-3-7643-8457-9, pp. 229-244

  10. Stochastic Fractal Interpolation Function and its Applications to Fractal Analysis of Normal and Pathological Body Temperature Graphs by Children, in RECENT ADVANCES IN STOCHASTIC MODELING AND DATA ANALYSIS Chania, Greece 29 May - 1 June 2007, World Scientific, 2007, ed. Christos H Skiadas (Technical University of Crete, Greece), ISBN 978-981-270-968-4

  11. Approximation of solutions of SDE driven by multifractional Brownian mo-tion”, Proceeding of ICAI 2007 - 7th International Conference on Applied Informatics, Eger, Hungary January 28-31 2007.

  12. Numerical approximation of solutions of stochastic differential equations driven by multifractional Brownian motion, Applied Stochastic Models and Data Analysis ASMDA 2013 and DEMOGRAPHICS 2013, J. Bozeman, V. Girardin and C. H. Skiadas (Eds): New Perspectives on Stochastic Modeling and Data Analysis, 2013, pp. 873-885

  13. Interpolation Methods for Internet Trac, Applied Stochastic Models and Data Analysis ASMDA and DEMOGRAPHICS, J. Bozeman, V. Girardin and C. H. Skiadas (Eds): New Perspectives on Stochastic Modeling and Data Analysis, 2013, pp. 887-892

  14. Approximations of solutions of SDE driven by fractional Brownian motion, Oberwohlfach Report, 4(2014), pp. 39-43

  15. Stochastic fractal interpolation with random variable as scaling parameters, International Conference on Mathematics and ist Applications, ICMA 2015, Politehnica Timisoara, Editor: Ioan Golet, Liviu Cadariu, 2016, pp. 127-132, with I. Somogyi



Didactic articles:

  1. Programozás Logoban,(Programming in Logo in Hungarian) Firka 3/1994;

  2. Programozás Logoban, Turtle-grafika, (Programming in Logo, in Hungarian), Firka 4/1994;

  3. A racionális számok ábrázolása különböző számrendszerekben, (The representation of rational numbers, in Hungarian) Matematikai Lapok, 9/1995 (with J.Kolumbán);

  4. A valós szám fogalmának kialakítása, (About the notion of reál number, in Hungárián) Matematikai Lapok, 10/1995 (with J.Kolumbán);

  5. Programozás Lógóban, rekurzió, (Programming in Logo, in Hungárián) Firka 1/1995;

  6. Programozás Lógóban, logo-csipkék,(Programming in Logo, in Hungárián) Firka 2/1995;

  7. A Cantor halmaz,(The Cantor set, in Hungárián) Matematikai Lapok, 1/1996 (with J.Kolumbán);

  8. A sátorfüggvény,(in Hungárián) Matematikai Lapok, 4/1996 ( with J.Kolumbán);

  9. Prológ programozás, (Programming in Prológ, in Hungarian) Firka, 1/2001, 9-13.

  10. Fraktálok Lógóban (Fractals using Logo, in Hungárián), HungaroLogo 2003 Conference, Budapest, 2003.09.20., 17-25.

  11. Út a rugó megnyúlásától az elsőfokú függvényig, "KORSZERŰ MÓDSZERTANI KIHÍVÁSOK", Magyar Tannyelvű Tantkpző Kar, Szabadka, 2010, 112-118.



Other publications:

  1. A fraktálanalízis alkalmazása az orvostudományban, Application of fractal analysis in medicine, in Hungárián), EME- Orvostudományi Közlemények, (2000), (with Z.Ellenes )

  2. Laudationes Hungarorum, Lustrum, Sollemnia aedificii a D.MCMXI inaugurati,Typotex, 2011, 79-82.

  3. A matematika és természettudományok oktatása Erdélyben, Természettudomány tanítása korszerűen és vonzóan, Budapest, 2011. augusztus 23.-25., Ed. ELTE Természettudományi Kar, 2011, pp. 38-43

  4. Magyar informatikusképzés a Babes-Bolyai Tudományegyetemen, Informatika a felsőoktatásban 2014, Konferenciakiadvány, pp. 739-744, with J. Robu