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Prof. dr hab. Jerzy Ombach
Stanowisko:
profesor zwyczajny w PWSZ,
profesor zwyczajny Uniwersytetu Jagiellooskiego
Pełnione funkcje:
Członek Rady Instytutu Pedagogicznego PWSZ,
Dyrektor Instytutu Matematyki UJ,
Kierownik Katedry Matematyki Stosowanej UJ.
Zainteresowania badawcze:
Stochastyczne metody optymalizacji, układy dynamiczne, modelowanie.
Wykaz najważniejszych publikacji:
 J. Ombach, D. Tarłowski, Nonautonomous Stochastic Search in Global Optimization, J. Nonlinear
Sci. 22(2012), 169 – 195.
 J. Bialy, A. Ciecko, J. Cwiklak, M. Grzegorzewski, P. Koscielniak, J. Ombach,, S. Oszczak, Aircraft
Landing System Utilizing a GPS Receiver with Position Prediction Functionality, Proceedings of the
24th International Technical Meeting of The Satellite Division of the Institute of Navigation (ION
GNSS 2011), Portland, OR, September 2011.
 Bielecki, J. Ombach, Dynamical properties of a perceptron learning process - structural stability
under numerics and shadowing, J. Nonlinear Sci (2011) 21:579–593 .
 J. Ombach, Stability of evolutionary algorithms, Journal Math Anal Appl. 342(2008), 326 - 333.
 J. Ombach, A bookkeeping sleight of hand, Schedae Informaticae 16)2007), 21 - 24.
 J. Ombach, A Proof of Convergence of General Stochastic Search for Global Minimum, Journal
of Difference Equations and Applications 13 (2007), pp. 795 – 802.
 J. Ombach, A. Bielecki, Shadowing Property in Analysis of Neural Networks Dynamics,
J. Comput. Appl. Math. 164--165 (2004), 107 - 115.
 J. Ombach, Jolanta Jarnicka, Statistics and simulations with Maple, in S. Nielsen Ed., Programming
Languages and Systems in Computational Economics and Finance, Kluwer, 2002.
 S. Cyganowski, P. Kloeden, J. Ombach, From elementary probability to stochastic differential
equations with MAPLE, Universitext. Springer-Verlag, Berlin, 2002. xvi+310 pp. ISBN: 3-54042666-3
 J. Ombach, P. Kloeden, A. Pokrovskii, Continuous and inverse shadowing, Funct. Differ. Equ.
6 (1999), no. 1-2, 137--153
 J. Ombach, Nowa matura -- dyskusja i propozycje, Wiadomości Matematyczne, 33(1997) , 177
– 184
 J. Ombach, Shadowing, expansiveness and hyperbolic homeomorphisms, J. Austral. Math. Soc.
Ser. A 61 (1996), no. 1, 57--72
 J. Ombach, Consequences of the pseudo-orbits tracing property and expansiveness, J. Austral.
Math. Soc. Ser. A 43 (1987), no. 3, 301--313
 J. Ombach, Equivalent conditions for hyperbolic coordinates, Topology Appl. 23 (1986), no. 1, 87-90
 Łomnicki, J. Ombach, Resource partitioning within a single population and population stability:
a theoretical model, Theoretical Population Biology 25(1984), 21 - 28
Więcej informacji:
http://it.pwsz-ns.edu.pl/~jombach/
http://www2.im.uj.edu.pl/JerzyOmbach/