LIST OF PUBLICATIONS
Tamás Szabados, May
2011
[1] P.
Kenedi, T. Szabados, T. Frey. Investigation of ventricular spread of activation in computer model
experiment. Cardiologia Hungarica, 2, 1-12, 1973 (in Hungarian).
[2] T.
Szabados, P. Kenedi, T. Frey. Study of ventricular spread of activation by computer model. Advances
in Cardiology, 19, 165-166, 1977.
[3]
[4]
T. Szabados. A generalization of Kolmogorov statistics to separable metric
spaces. PhD thesis, Loránd Eötvös University of Budapest, 1981 (in
Hungarian).
[5]
[6]
S. Bíró, T. Szabados. Vector Analysis. Mûszaki Könyvkiadó,
[7]
T. Szabados. Goodness of fit tests in metric spaces based on balls around the
sample. Statistics & Decisions, 5, 381-389, 1987. MR
88k:62080.
[8] I.
Kónya, P. Rózsa, T. Szabados. Applications of orthogonal polynomials for improving the accuracy of
finite element method. In:Colloquia Mathematica Societas János Bolyai 50.
Numerical Methods.
[9]
T. Szabados, L. Böröczky and K. Fazekas. Analysis of a pel-recursive
Wiener-based motion estimation algorithm. Proceedings of the 1989 U.R.S.I.
Intern. Symp. on Signals, Systems and Electronics,
[10]
L. Böröczky, K. Fazekas and T. Szabados. Convergence analysis of a
pel-recursive Wiener-based motion estimation algorithm. In: Time-varying
image processing and moving object recognition 2, ed. V. Cappellini, 38-45.
Elsevier,
[11]
T. Szabados. On the Glivenko-Cantelli theorem for balls in metric spaces. Studia
Scientiarum Mathematicarum Hungarica, 24, 473-481, 1989. MR
92e:60002.
[12]
T. Szabados. A discrete Ito's formula. In: Colloquia Mathematica Societas
János Bolyai 57. Limit
Theorems in Probability and Statistics, Pécs, 1989, 491-502. North-Holland,
[13]
L. Böröczky, K. Fazekas and T. Szabados. Analysis of pel-recursive Wiener-based
estimation algorithms for general 2D motion. In: Signal Processing V,
Theories and Applications, Proceedings of EUSIPCO 90,
[14]
L. Böröczky, K. Fazekas and T. Szabados. Theoretical and experimental analysis
of a pel-recursive Wiener-based motion estimation algorithm. Annales des
Télécommunications, 45, No. 9-10, 471-476, 1990.
[15]
A.Z. Szendrovits and T. Szabados. Least cost safety inventory for large
transfer lines. Omega International Journal of Management Science, 21,
No. 4, 471-480, 1993.
[16]
T. Szabados. An elementary introduction to the Wiener process and stochastic
integrals. Studia Scientiarum Mathematicarum Hungarica, 31,
249-297, 1996. MR 96k:60212. arxiv.org/abs/1008.1510
[17]
T. Szabados. Why do we appreciate mathematics? Notices of the American
Mathematical Society, 43, 533-534, 1996.
[18]
T. Szabados, G.Tusnády, G. Michaletzky, L. Varga and T. Bakács. A simple stochastic model of the
immune system. 2nd Congress of the European Mathematical
[19]
T. Szabados. A discrete Feynman-Kac formula and the Schrödinger equation. Conference
on Stochastic Differential and Difference Equations, Gyõr, 1996.
[20]
T. Szabados. Lebesgue-type stochastic integrals. 4th World Congress of the
Bernoulli Society,
[21]
A.Z. Szendrovits and T. Szabados. On the 'Least cost safety inventory for large
transfer lines'. Omega International Journal of Management Science, 25,
483-487, 1997.
[22]
T. Szabados, G. Tusnády., L. Varga, T. Bakács. A stochastic model of B cell affinity
maturation and a network model of immune memory. Manuscript, 1998. (word .doc file) Figures in excel files: Fig1
Fig2 Fig3 Fig4
Fig5 Fig6 Fig7
Fig8 Fig9 Fig10
[23]
T. Szabados. Strong approximation of fractional Brownian motion by moving
averages of simple random walks. Stochastic Processes and their Applications,
92, 31-60, 2001. MR 2002b:60070. arxiv.org/abs/1008.1702
[24]
T. Bakács, T. Szabados, L. Varga and G. Tusnády. Axioms of mathematical immunology. Studia
Scientiarum Mathematicarum Hungarica, 38, 13-43, 2001. MR1877767.
[25]
T. Bakács, J. Mehrishi, T. Szabados, L. Varga and G. Tusnády. Some aspects of
complementarity in the immune system: A bird's eye view. International
Archives of Allergy and Immunology, 126, 23-31, 2001.
[26]
B. Székely, T. Szabados. Strong approximation of continuous local martingales
and stochastic integrals by simple random walks. Manuscript, 2001. (pdf file)
[27]
T. Szabados, B. Székely. An exponential functional of random walks. Journal
of Applied Probability, 40, 413-426, 2003. MR 2004c:60099. arxiv.org/abs/1008.1512
[28]
B. Székely, T. Szabados. Strong approximation of continuous local martingales
by simple random walks. Studia Scientiarum Mathematicarum Hungarica, 41,
101-126, 2004. MR2082065. arxiv.org/abs/1008.1506
[29]
T. Szabados, B. Székely. Moments of an exponential functional of random walks
and permutations with given descent sets. Periodica
Mathematica Hungarica, 49,
131-139, 2004. MR2092788. arxiv.org/abs/1008.1514
[30]
T. Szabados, B. Székely. An elementary approach to Brownian local time based on
simple, symmetric random walks. Periodica
Mathematica Hungarica, 51,
79-98, 2005. MR2180635. arxiv.org/abs/1008.1701
[31] T. Bakács, J.N. Mehrishi, T.
Szabados, L. Varga, M. Szabó and G. Tusnády. T cells survey the stability of
the self: a testable hypothesis on the homeostatic role of TCR-MHC
interactions. International Archives of Allergy and Immunology, 144,
171-182, 2007.
[32]
T. Szabados, B. Székely. Stochastic integration based on simple, symmetric
random walks. Journal of Theoretical
Probability, 22, 203-219, 2009. MR2472013. arxiv.org/abs/0712.3908
[33]
B. Kjos-Hanssen, T. Szabados. Kolmogorov complexity and strong approximation of Brownian motion. Proceedings
of the American Mathematical Society 139, 3307-3316, 2011. see
here.
[34]
T. Szabados, T. Bakács. Sufficient to recognize self to attack non-self:
Blueprint for a one-signal T cell modell. Journal
of Biological Systems, 19,
299-317, 2011. (A preliminary version: arxiv.org/abs/1007.5035)
[35] T. Szabados. Self-intersection local time of planar Brownian motion based on a strong approximation by random walks. Journal of Theoretical Probability. 2012, electronic version: DOI: 10.1007/s10959-011-0351-x, arxiv.org/abs/1008.1006