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Dr hab. Henryk Gacki, prof. PŚ

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:

  1. 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.
  2. 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
  3. 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.
  4. H. Gacki, A. Kulawik Robust estimation and its application to a classification problem Mathematica Applicanda, vol. 47, no. 2 (2019), 81–94.
  5. 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
  6. 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,
  7. 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

  1. 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
  2. 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
  3. 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.
  4. H. Gacki : A. Lasota Układy dynamiczne na miarach wyd. Uniwersytetu Śląskiego w Katowicach, Katowice, 2008, ISBN 978-83-226- 1770-0
  5. 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.
  6. H. Gacki and J. Zwierzyńska, Mathematics like poetry. Andrzej Lasota 1932—2006, pages 1—261, Copyright  by Wydawnictwa Uniwersytetu Śląskiego, Katowice 2016,

Learning materials

  1. 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.
  2. 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

  1. H. Gacki and A. M. Kobos, You have to be an enthusiast (Trzeba być entuzjastą), Gaz. Uniw. (Katowice), 5 (2008), pp. 4-6.
  2. 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.

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