From September 12 to 17, 2022, the Fiftieth National Scientific and Training Conference on Applications of Mathematics was held at the AMW Rewita Kościelisko center in Zakopane-Kościelisko.
The conference is organized by the Center for Applications of Mathematics at IMPAN in collaboration with the Dioscuri Center of Topological Data Analysis.
The aim of the conference is to present mathematical methods that are applicable in various fields of the national economy, particularly in industry, insurance, finance, banking, railways, transportation, etc.
Conference participants will have the opportunity to present mathematical models they have developed in relevant thematic sessions.
Starting from the 30th Conference, an annual award for young mathematicians (under 32 years old) is given for the best presentation delivered at the conference. To participate in the competition, in addition to the abstract, a more extensive version of the work (e.g., preprint, reprint) must be submitted.
Competition Rules for Young Mathematicians for the Best Presentation at the Conference on Applications of Mathematics
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Participants in the Competition must be under 32 years old as of January 1 of the year in which the Conference is held.
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To participate in the Competition, the registration form available on the Conference website must be completed and submitted to the Organizing Committee. By the deadline specified in Communication No. 1, an abstract of the presentation must be submitted, and before the start of the Conference, an extended version of the work (e.g., preprint, reprint) must also be provided.
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After reviewing the topics of the submissions, the Program Council appoints the Competition jury.
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Jury members attend the presentations of the Competition participants and then evaluate them, taking into account:
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The quality of the results obtained,
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Clear formulation of the problem,
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Clear presentation of the solution,
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The correctness of the presentation structure,
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The correctness of the language,
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Care in preparing the materials,
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Effective use of the time allocated for the presentation,
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Communicativeness in discussion.
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The jury's decision is announced during the formal dinner.
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Dr. hab. Tomasz Cieślak
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Dr. Paweł Dłotko
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Dr. hab. Henryk Gacki
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Prof. Dr. hab. Jerzy Gawinecki
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Prof. Dr. hab. Piotr Gwiazda
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Dr. hab. Marek Męczarski
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Dr. hab. Krzysztof Mizerski
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Prof. Dr. hab. Wojciech Niemiro
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Dr. Mariusz Niewęgłowski
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Prof. Dr. hab. Leszek Plaskota
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Prof. Dr. hab. Ewa Roszkowska
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Prof. Dr. hab. Ryszard Rudnicki
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Prof. Dr. hab. Maciej Sablik
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Prof. Dr. hab. Łukasz Stettner - Chair
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Prof. Dr. hab. Krzysztof Szajowski
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Prof. Dr. hab. Tadeusz Trzaskalik
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Prof. Dr. hab. Wojciech Zajączkowski
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Damian Jelito
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Jan Krzysztof Kowalski
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Agnieszka Rygiel
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Łukasz Stettner - Chair
The program includes the following sessions:
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Applications of mathematical analysis methods,
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Optimal control and optimization methods,
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Probabilistic models and methods,
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Methods of mathematical statistics,
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Numerical analysis and scientific computing,
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Industrial applications of mathematics,
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Biomathematics,
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Applications of mathematics in insurance,
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Non-standard applications of mathematics,
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Financial mathematics,
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Applications of mathematics in economics,
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Poster session (Organizing Committee),
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Who knows how to solve this? (Organizing Committee).
September 12, 2022 (Monday)
September 13, 2022 (Tuesday)
| Morning Session | |
| 9:00 | Dariusz Wrzosek Quasilinear parabolic systems of the chase-escape type |
| 9:45 | Wojciech Zajączkowski Existence of global regular axisymmetric solutions of the Navier-Stokes equations in the case of small vorticity |
| 10:30 | Tomasz Piasecki Stability of inhomogeneous solutions of the Navier-Stokes equations |
| 11:00 | Break |
| 11:30 | Tomasz Cieślak, Bidesh Das Time-optimal control of the collision of two peakons |
| 12:15 | Piotr Gwiazda, Jakub Skrzeczkowski, Miroslav Bulíček On the Lavrentiev phenomenon for two-phase models |
| PL-MATHS-IN Group Session | |
| 15:00 | Janusz Szwabiński EU-MATHS-IN: Opportunities and challenges |
| 15:15 | Krzysztof Burnecki Securitization of natural disaster risk |
| 15:45 | Paweł Dłotko Industrial topology |
| 16:15 | Łukasz Płociniczak Numerical methods for nonlinear and nonlocal parabolic equations with applications |
| 16:45 | Janusz Szwabiński Modeling complex systems |
| 17:15 | Marek Teuerle Ruin probability for the insurer-reinsurer model |
| 17:45 | Marcin Woźniak, Martyna Kobielnik Latest trends in applied mathematics for artificial intelligence |
September 14, 2022 (Wednesday)
| Morning Session | |
| 9:00 | Leszek Plaskota On the quality of adaptive methods in numerical approximation |
| 10:00 | Zbigniew Peradzyński Mathematical modeling of plasma engines used in space technology |
| 11:00 | Break |
| 11:30 | Łukasz Stępień, Paweł Przybyłowicz, Michał Sobieraj Efficient approximation of solutions of stochastic differential equations with integrals with respect to a countably dimensional Wiener process |
| 12:00 | Jakub Woźnicki Existence of solutions and weak-strong uniqueness for inhomogeneous and incompressible non-Newtonian fluids |
| 12:30 | Alicja Dembczak-Kołodziejczyk, Anna Lytova On applications of random matrices in studies of the vibrational spectrum of glasses |
| Afternoon Session | |
| 15:00 | Ewa Roszkowska Multicriteria support of electronic negotiations |
| 15:45 | Kamil Kulesza Continuous and discrete regimes in industrial maths -- a perspective over the years |
| 16:30 | Poster session |
Artur Bryk
Consistency and convergence rates of the kernel estimator of density derivatives for dependent data
Kamil Urbanowicz, Adam Deptuła, M. Stosiak, M. Karpenko, Anna Deptuła
Water hammer -- an analytically unsolved problem
Adam Deptuła, Piotr Osiński, Marian A. Partyka
Application of hierarchical decision trees to determine the rank of importance of decision variables on the example of hydraulic tests of the PZ0 gear micropump
Mieczysław Gruda
Variational approach to economic equilibrium problems in the food sector
Henryk Gurgul, Milena Suliga
Impact of futures expiration on underlying stocks: intraday analysis for Warsaw Stock Exchange
Robert Kruszewski
Asymmetric investment function and economic fluctuations
Agnieszka Micek, Michael Briga, Grażyna Jasienska, Ilona Nenko
Application of Morlet wavelets to study seasonality of births using parish data from 1782-2004
Dorota Mozyrska, M. Wyrwas, J. Baranowski, K. Dukała, W. Bauer
Consensus in opinion dynamics using fractional-order models
Katarzyna Ossowska, Andrzej Ossowski
Application of iterative geometric algorithms in contemporary architecture
Andrzej Ossowski, Joanna Napiórkowska
Ternary logic control for stability modification of bilinear systems
| 19:30 | Bonfire |
September 15, 2022 (Thursday)
| Morning Session | |
| 9:00 | Katarzyna Pichór, Ryszard Rudnicki A model of immune system dynamics |
| 9:45 | Marta Tyran-Kamińska Stochastic savanna model |
| 10:30 | Andrzej Tomski, Agnieszka Kozdęba The Goodwin model and its applications |
| 11:00 | Break |
| 11:30 | Mariusz Niewęgłowski Markov multidimensional Hawkes processes |
| 12:15 | Agnieszka Rygiel Pricing financial instruments using utility functions |
| Concert at the Mieczysław Karłowicz State Music School I level in Zakopane |
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| 19:00 | Gala dinner |
September 16, 2022 (Friday)
| Morning Session | |
| 9:00 | Tadeusz Trzaskalik Application of the AHP approach in the multi-stage BIPOLAR procedure |
| 9:30 | Zbigniew Świtalski Compatibility conditions for interval preference relations |
| 10:00 | Anna Pajor, Łukasz Kwiatkowski, Justyna Wróblewska Predictive properties of Bayesian VEC-MSF-DBEKK models before and during the Covid-19 pandemic |
| 10:30 | Ilona Ćwięczek, Agnieszka Lipieta Aggregate risk in a competitive economy with a completed financial market |
| 11:00 | Break |
| 11:30 | Marta Kornafel Ecological preferences of households in a model with scale effect in renewable energy production |
| 12:00 | Justyna Wróblewska, Łukasz Kwiatkowski Identification of structural shocks in Bayesian VEC models with Markov-switching conditional heteroskedasticity |
| 12:30 | Anna Sulima Estimation of the switching Lévy process |
| Afternoon Session | |
| 15:00 | Łukasz Woźny, Łukasz Balbus, Wojciech Olszewski, Kevin Reffett Iterative monotone comparative statics |
| 15:40 | Wojciech Niemiro, Łukasz Rajkowski Conditional independence and d-separation for directed graphs with possible cycles |
| 16:20 | Grzegorz Wyłupek On testing the conformity of observations with the exponential distribution |
| 17:00 | Mariusz Bieniek, Luiza Pańczyk Optimal selection of L-statistic as a quantile estimator |
| 17:30 | Marta Zalewska, Wojciech Niemiro Biostatistics from basics to advanced methods |
September 17, 2022 (Saturday)
| Morning Session | |
| 9:00 | Łukasz Stettner Asymptotic control problems with generalized discounting |
| 9:40 | Damian Jelito Risk-sensitive optimal stopping problems and ambiguity of Bellman's equation solution |
| 10:10 | Arkadiusz Misztela Reduction of lower semi-continuous solutions of the Hamilton-Jacobi-Bellman equation |
| 10:45 | Closing of the conference |