prof. dr hab. Marian Mrozek
Jednostki:
- Wydział Matematyki i Informatyki UJ
- Instytut Informatyki i Matematyki Komputerowej
- Katedra Matematyki Obliczeniowej
Publikacje:
53.
Marian Mrozek, Roman Srzednicki, Justin Thorpe, Thomas Wanner
Combinatorial vs. classical dynamics: Recurrence, Communications in Nonlinear Science and Numerical Simulation vol. 108 (2022), 106226, 1-30
52.
Tamal Dey, Marian Mrozek, Ryan Slechta
51.
Laurent Fribourg, Eric Goubault, Sameh Mohamed, Marian Mrozek, Sylvie Putot
A topological method for finding invariant sets of continuous systems, Information and Computation vol. 277 (2021), 104581
50.
Marian Mrozek, Thomas Wanner
Creating Semiflows on Simplicial Complexes from Combinatorial Vector Fields, Journal of Differential Equations vol. 304 (2021), 375-434
49.
48.
Tamal K. Dey, Marian Mrozek, Ryan Slechta
Persistence of the Conley Index in Combinatorial Dynamical Systems, International Symposium on Computational Geometry [SoCG] vol. 36 (2020), 37:1-37:17
47.
Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jabłoński, Marian Mrozek
46.
Jonathan Ariel Barmak, Marian Mrozek, Thomas Wanner
A Lefschetz fixed point theorem for multivalued maps of finite spaces, Mathematische Zeitschrift vol. 294 (2020), 1477–1497
45.
Conley Index Approach to Sampled Dynamics, SIAM Journal on Applied Dynamical Systems vol. 19-1 (2020), 665-704
44.
Bogdan Batko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
43.
Persistent Homology of Morse Decompositions in Combinatorial Dynamics, SIAM Journal on Applied Dynamical Systems vol. 18-1 (2019), 510-530
42.
Marc Ethier, Grzegorz Jabłoński, Marian Mrozek
Finding Eigenvalues of Self-maps with the Kronecker Canonical Form vol. 198 (2017), "Applications of Computer Algebra", Springer
41.
40.
Andrzej Gryglewski, Brandon Michael Henry, Marian Mrozek, Krzysztof Piech, Krzysztof Tomaszewski, Marcin Żelawski
39.
K. Mischaikow, Marian Mrozek, Frank Weilandt
38.
Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
37.
36.
Laurent Fribourg, Eric Goubault, Sameh Mohamed, Marian Mrozek, Sylvie Putot
A Topological Method for Finding Invariant Sets of Continuous Systems vol. Lecture Notes in Computer Science (2015), "Reachability Problems", Springer Verlag (połaczony z Kluwer Academic Publishing)
35.
Marian Mrozek, Roman Srzednicki, Frank Weilandt
34.
Herbert Edelsbrunner, Grzegorz Jabłoński, Marian Mrozek
The Persistent Homology of a Self-Map, Foundations of Computational Mathematics vol. 15 (2015), 1213-1244
33.
32.
CAPD::RedHom v2 - Homology Software Based on Reduction Algorithms, Lecture Notes in Computer Science vol. 8592 (2014), 160-166
31.
Shaun Harker, K. Mischaikow, Marian Mrozek, Vidit Nanda
30.
Tomasz Kaczynski, Marian Mrozek
Cubical Cohomology Ring: Algorithmic Approach, Foundations of Computational Mathematics vol. 13 (2013), 789-818
29.
Topological Dynamics: Rigorous Numerics via Cubical Homology vol. 70 (2012), "Advances in Applied and Computational Topology: AMS Short Course Computational Topology", American Mathematical Society (AMS)
28.
Homology Computations via Acyclic Subspace, Lecture Notes in Computer Science vol. 7309 (2012), 117-127
27.
Computational Topology in Text Mining, Lecture Notes in Computer Science vol. 7309 (2012), 68 - 79
26.
Homological methods for extraction and analysis of linear features in multidimensional images, Pattern Recognition vol. 45(1) (2012), 285-298
25.
Distributed computation of coverage in sensor networks by homological methods, Applicable Algebra in Engineering, Communications and Computing vol. 23, Issue 1-2 (2012), 29-58
24.
23.
Paweł Dłotko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
Coreduction Homology Algorithm for Regular CW-Complexes, Discrete and Computational Geometry vol. 46 (2011), 361-388
22.
Tomasz Baron, Marcin Cwynar, Tomasz Grodzicki, Barbara Gryglewska, Marian Mrozek, Mirosław Nęcki, Marcin Żelawski
21.
Paweł Dłotko, Tomasz Kaczynski, Marian Mrozek
Computing the cubical cohomology ring, Image A, Proceedings of the 3rd International Workshop On Computational Topology in Image Context (2010), 137-142
20.
Paweł Dłotko, Shaun Harker, Mateusz Juda, Konstantin Mischaikov, Marian Mrozek, Vidit Nanda, Hubert Wagner
The efficiency of a homology algorithm based on discrete Morse Theory and Coreductions, Image a Proceedings of the 3rd International Workshop On Computational Topology in Image Context (2010), 41-47
19.
Marian Mrozek, Thomas Wanner
Coreduction homology algorithm for inclusions and persistent homology, Computers and Mathematics with Applications vol. 60.10 (2010), 2812-2833
18.
Homology of representable sets, Annales Polonici Mathematici vol. 97,3 (2010), 243-252
17.
ˇCech Type Approach to Computing Homology of Maps, Discrete and Computational Geometry vol. 44.3 (2010), 546–576
16.
Homology of representable sets, Annales Polonici Mathematici vol. 97.3 (2010), 243–252
15.
14.
Coreduction homology algorithm, Discrete and Computational Geometry vol. 41 (2009), 96-118
13.
Homological Methods in Feature Extraction of Multidimensional Images, Proceedings of the 2009 2nd International Congress On Image and Signal Processing, Ieee (2009), 1061-1066
12.
11.
Marian Mrozek, Paweł Pilarczyk, Natalia Żelazna
Homology algorithm based on acyclic subspace, Computers and Mathematics with Applications vol. 55 (2008), 2395-2412
10.
The Euler-Poincare characteristic of index maps, Topology and its Applications vol. 154.4 (2007), 859-866
9.
8.
Marian Mrozek, Roman Srzednicki, J.F.Reineck
The Conley index over the circle, J. DYNAM. DIFFERENTIAL EQUATIONS 12 (2000), no. 2, 385--409
7.
Marian Mrozek, James F. Reineck, Roman Srzednicki
The Conley index over a base, Transactions of the American Mathematical Society vol. 352 (2000), 4171-4194
6.
On time-duality of the Conley index, RESULTS MATH. 24 (1993), no. 1-2, 161--167
5.
The continuity axiom in multi-valued dynamical systems, RIV. MAT. PURA APPL. no. 3 (1988), 87--97 (1989)
4.
A computer model of evolution and ecological processes, Modeling, Simulation & Control C (1984), 59-63
3.
2.
K. Mischaikow, Marian Mrozek, S. Harker, V. Nanda
1.
Marian Mrozek, Roman Srzednicki, J.F.Reineck
On a generalization of the Conley index, CONLEY INDEX THEORY (WARSAW, 1997), 157--171, Banach Center Publ., 47, Polish Acad. Sci., Warsaw, 1999
Konferencje:
14.
Workshop on switching dynamics and verification, Institut pour le Contrôle et la Décision de l'Idex Paris-Saclay., Paryż, Francja, 2016-01-28 - 2016-01-29
13.
XXI Krajowa Konferencja Zastosowan Matematyki w Biologii i Medycynie, AGH, Regietów, Polska, 2015-09-22 - 2015-09-26
12.
VII Symposium on Nonlinear Analysis 2015, Centrum Badań Nieliniowych im. J.P. Schaudera, Toruń, Polska, 2015-09-14 - 2015-09-18
11.
6 Forum Matematyków Polskich, PTM, Warszawa, Polska, 2015-09-07 - 2015-09-12
10.
Critical Point Theory and Nonlinear Differential Problems, University of Verona, Canazei, Włochy, 2015-09-01 - 2015-09-04
9.
Geometric and Topological Methods in Computer Science GETEO , Aalborg University, Aalborg, Dania, 2015-04-07 - 2015-04-10
8.
8th Conference on Foundations of Computational Mathematics - Computational Dynamics, FoCM, Montevideo, Urugwaj, 2014-12-10 - 2014-12-20
7.
Seventh de Brún Workshop on Homological Perturbation Theory, NUI Galway, Galway, Ireland, 2014-12-01 - 2014-12-05
6.
8th Conference on Foundations of Computational Mathematics, FoCM, Montevideo, Urugwaj, 2014-12-01 - 2014-12-20
5.
Discrete, Computational and Algebraic Topology, University of Copenhagen, Kopenhaga, Dania, 2014-11-12 - 2014-11-15
4.
5th International Workshop on Computational Topology in Image Context CTIC2014, Eftimie Murgu University, Resita, Timisoara, Rumunia, 2014-09-22 - 2014-09-25
3.
Combinatorial/ Topological Frameworks for Multiparameter Nonlinear Dynamics, Lorentz Center, Leiden, Holandia, 2014-07-18 - 2014-08-22
2.
Algebraic Topology in Dynamics, Differential Equations, and Experimental Data , Institute for Mathematics and its Applications, Minneapolis, USA, 2014-02-10 - 2014-02-14
1.
Geometric and Topological Methods in Computer Science, Aalborg University, Aalborg, Dania, 2012-09-04 - 2012-09-07
Konferencje organizowane:
5.
Applications of Computer Algebra, Session on Applied and Computational Algebraic Topology, Kalamata, Grecja, 2015-07-20, 2015-07-23
4.
Dynamics, Topology and Computations, Będlewo, Polska, 2015-06-14, 2015-06-20
3.
Winter School on Computational Mathematics
, Będlewo, 2016-02-07, 2016-02-13
2.
Winter Workshop on Dynamics, Topology and Computations 2018, Będlewo, 2018-01-28, 2018-02-03
1.
Marian Mrozek, Piotr Zgliczyński, Tomasz Kapela, Daniel Wilczak, Roman Srzednicki, Konstantin Mischaikov, Mateusz Przybylski.
Dynamics, Topology and Computations 2018, Będlewo, 2018-06-18, 2018-06-23
Doktoranci (po 27 października 2003 roku)
Doktorant | Otwarcie | Zakonczenie |
---|---|---|
Natalia Żelazna | 2007-09-27 | 2010-09-30 |
Paweł Dłotko | 2009-12-17 | 2012-01-26 |
Mateusz Juda | 2011-10-27 | 2013-03-28 |
Andrzej Krajniak | 2012-06-28 | |
Hubert Wagner | 2012-10-25 | 2014-11-27 |
Piotr Brendel | 2013-06-27 | 2017-01-26 |
Grzegorz Jabłoński | 2013-06-27 | 2015-11-26 |
Frank Weilandt | 2013-09-26 | 2016-05-19 |
Kinga Stolot | 2001-05-31 | 2004-01-08 |
Mateusz Przybylski | 2019-03-28 | 2022-01-20 |
Michał Lipiński | 2019-03-28 | 2021-11-18 |
Recenzje (po 27 października 2003 roku)
Recenzowany | Jednostka | Treść recenzji |
---|---|---|
Habilitacja: Daniel Wilczak | Katedra Matematyki Obliczeniowej | |
Habilitacja: Andrzej Bielecki | Katedra Informatyki Stosowanej | |
Doktorat: Zofia Mączyńska | ||
Doktorat: Anna Gierzkiewicz-Pieniążek | Katedra Matematyki Obliczeniowej | |
Doktorat: Tomasz Kapela | Katedra Matematyki Obliczeniowej |
Granty (realizowane po maju 2009 roku)
Tytuł | Rola | Rozpoczęcie | Zakończenie |
---|---|---|---|
Dynamikas topologiczna w problemie Big Data | Kierownik | 2020-06-10 | 2023-06-09 |
Obliczeniowa dynamika topologiczna | Kierownik | 2015-10-01 | 2021-09-30 |
Topologiczne systemy złożone | Kierownik | 2013-03-13 | 2015-09-30 |
Topological complex systems | Kierownik | 2012-09-14 | 2015-09-30 |
Algorytmy redukcji w obliczeniowej teorii homologii i kohomologii z zastosowaniami | Kierownik | 2010-10-14 | 2012-03-29 |
Metody algorytmiczne w topologii obliczeniowej i obliczeniowej dynamice topologicznej | Kierownik | 2010-09-23 | 2013-09-22 |
Nagrody
Rok | Rodzaj | Rodzaj uhonorowanej działalności | Typ | |
---|---|---|---|---|
2013 | nagroda | działalność naukowa lub naukowo-badawcza | krajowa | Szczegóły |