Dr hab. Henryk Gacki, prof. PŚ
Realmaths Programme Coordinator
Contact
e-mail: henryk.gacki@polsl.pl
phone number: (+48) (32) 237 25 83
room: 523
Silesian University of Technology
Faculty of Applied Mathematics
ul. Kaszubska 23
44-100 Gliwice, Poland
Functions
- The local coordinator (appointed for 2022-2026) of the joint Polish-Italian master’s programme RealMaths, organised in co-operation with the University of L’Aquila.
- Member of the Management Board of the RealMaths Consortium.
- A member of the Programme Committee of the National Scientific and Training Conference on Applications of Mathematics in Poland.
- A member of the Polish Mathematical Association.
Education
Professorship: 2016 –2022 , Professorship at the University of Silesia in Katowice, 2022 – 2026 Professorship at the Silesian University of Technology
Habilitation: 2008, Institute of Mathematics, University of Silesia
- Thesis: Applications of the Kantorovich–Rubinstein maximum principle in the theory of Markov semigroups.
- Referees: Prof. dr hab. Ryszard Rudnicki, Prof. dr hab. Łukasz Stettner, Prof. dr hab. Wojciech Słomczyński, Prof. dr hab. Leszek Słomiński
Ph.D.: 1984, Ph. D. in Mathematics, University of Silesia
- Thesis: Random integral equation with advancing Argument
- Supervisor: doc. dr Jan Błaż
- Referees: Prof. dr hab. Andrzej Lasota, Prof. dr hab. Dobiesław Bobrowski
M.Sc.: 1976 Master of Science diploma in Mathematics, University of Silesia
- Thesis: On a basic solution of the diffusion operator
- Supervisor: doc. dr hab. Jan Chabrowski
Scientific interests
- Theory of semigroups of Markov operators and their applications (asymptotic analysis research on stochastically perturbed dynamical systems, a Poisson driven stochastic differential equation, a mathematical model of the cell cycle and generalised iterated function systems).
- Testing stability of solutions of different types of the Boltzmann equation on the space of signed measures (in particular in Tjon-Wu equations).
- Generalizations and applications of the Kantorovich–Rubinstein maximum principle constituting an element of the solution in the transport of mass problem.
- Theory of probability.
- Statistics.
The most important articles:
- H. Gacki, J. Adamczewski Attempt of application of pattern recognition methods in a diagnostic experiment Diagnostics Machinery Operating, scientific journal, vol. 1, no. 97 (1994), 161-172.
- H. Gacki, A. Lasota A nonlinear version of the Kantorovich-Rubinstein maximum principle Nonlinear Analysis: Theory and Methods, Applications, vol. 52, no. 1, (2003), 117–125, doi: 10.1016/S0362-546X(02)00099-8
- H. Gacki, A. Lasota, J. Myjak Upper estimate of concentration and thin dimension of measure Bull. Pol. Ac. Math., vol. 57, no.2 (2009), 149–161.
- H. Gacki, A. Kulawik Robust estimation and its application to a classification problem Mathematica Applicanda, vol. 47, no. 2 (2019), 81–94.
- H. Gacki, A. Kulawik The Huber Functions and Their Application to a Classification Problem Mathematica Applicanda, vol. 48, no. 2 (2020), 99-114, doi: 10.14708/ma.v48i1.7045
- Brodnicka R. and Gacki H. Applications of the Kantorovich-Rubinstein Maximum Principle in the Theory of Boltzmann Equations Semigroups of Operators – Theory and Applications (SOTA 2018) eds. Banasiak et al., Springer Proceedings in Mathematics & Statistics, vol. 325., Springer, Cham, 2020, pp. 183-204,
- H. Gacki, Ł. Stettner Stability of measure solutions to a generalized Boltzmann equation with collisions of a random number of particles Communications in Mathematical Sciences, vol. 20, no. 3 (2022), 877-896, doi: 10.4310/CMS.2022.v20.n3.a11.
Monographs and books
- H. Gacki, K. Baron Andrzej Lasota – Doctor honoris causa Uniwersitatis Silesiensis, The Publishing House of the University of Silesia Publishing House of the University of Silesia (Prace Naukowe Uniwersytetu Śląskiego w Katowicach)University of Silesia Press, Katowice, 2001,ISBN 83-226-1117-X
- H. Gacki, Applications of the Kantorovich-Rubinstein maximum principle in the theory of Markov semigroups Dissertationes Mathematicae, vol. 448 (2007), 1-59, doi: 10.4064/dm448-0-1
- H. Gacki, Andrzej Lasota 1932-2006 – a book prepared for the Session in Commemoration of Professor Andrzej Lasota at the 36th Polish National Scientific and Training Conference on Mathematical Applications, Zakopane – Koscielisko, 11 – 18 September 2007.
- H. Gacki : A. Lasota Układy dynamiczne na miarach wyd. Uniwersytetu Śląskiego w Katowicach, Katowice, 2008, ISBN 978-83-226- 1770-0
- H. Gacki, 80th birth anniversary of Andrzej Lasota – a commemorative book prepared for the Scientific Session on Commemoration of the 80th birth anniversary of the Professor Mathematical Institute of the Polish Academy of Sciences, Warsaw 13 January 2012.
- H. Gacki and J. Zwierzyńska, Mathematics like poetry. Andrzej Lasota 1932—2006, pages 1—261, Copyright by Wydawnictwa Uniwersytetu Śląskiego, Katowice 2016,
Learning materials
- Gacki H., Calculus of probability and statistics for bioengineers (Statystyka i rachunek prawdopodobieństwa dla bioinżynierów), compilation of lectures prepared for an e-learning platform, Faculty of Computer Science and Material Science, University of Silesia, 2010.
- H. Gacki, Applications of the Kantorovich-Rubinstein maximum principle in the theoryof Markov operators Probability Theory and Statistics 12th International Workshop for Young Mathematicians, wyd. Uniwersytetu Jagiellonskiego, wyd. 1, Kraków, 2010, 43-53.
Other materials
- H. Gacki and A. M. Kobos, You have to be an enthusiast (Trzeba być entuzjastą), Gaz. Uniw. (Katowice), 5 (2008), pp. 4-6.
- H. Gacki, Uczeń o mistrzu. Rozmowa z dr. hab. Henrykiem Gackim, prof. UŚ, portal internetowy UŚ, 07.02.2020.
Distinctions and awards
1979: Award of the Polish Minister of Science, Higher Education and Technology for supervisors of best self-governments of students’ houses.
2009: Rector of the University of Silesia Individual Award level 2 for scientific and research activity.
2015: Rector of the University of Silesia Individual Award level 2 for organizational activity for the Faculty of Mathematics, Physics and Chemistry.
2015: The third place in the competition „Leader of internationalization of the University of Silesia” in the category of independent researchers Patronage: the Rector of the University of Silesia.
2016: Golden Badge of Merit for the University of Silesia.
2018: Golden Honorary Badge for Merits for the Silesian Voivodship.
2018: Selected Athlete of the 50th anniversary of AZS University of Silesia.
2019: Rector of the University of Silesia Individual Award level 2 for organizational activity for the Faculty of Mathematics, Physics and Chemistry.