prof. dr hab. Marian Mrozek
Jednostki:
- Wydział Matematyki i Informatyki UJ
- Instytut Informatyki i Matematyki Komputerowej
- Katedra Matematyki Obliczeniowej
Publikacje:
59.
Ethan Akin, Marian Mrozek, Mateusz Przybylski, Jim Wiseman
58.
57.
56.
Tamal Dey, Michał Lipiński, Marian Mrozek, Ryan Slechta
Tracking dynamical features via continuation and persistence, International Symposium on Computational Geometry [SoCG], (2022), 35:1-35:17
55.
Tamal K. Dey, Michał Lipiński, Marian Mrozek, Ryan Slechta
Tracking Dynamical Features via Continuation and Persistence, 38th International Symposium On Computational Geometry (socg 2022) (2022),
54.
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
53.
Tamal Dey, Marian Mrozek, Ryan Slechta
52.
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
51.
Marian Mrozek, Thomas Wanner
Creating Semiflows on Simplicial Complexes from Combinatorial Vector Fields, Journal of Differential Equations vol. 304 (2021), 375-434
50.
49.
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
48.
Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jabłoński, Marian Mrozek
47.
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
46.
Conley Index Approach to Sampled Dynamics, SIAM Journal on Applied Dynamical Systems vol. 19-1 (2020), 665-704
45.
Bogdan Batko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
44.
Persistent Homology of Morse Decompositions in Combinatorial Dynamics, SIAM Journal on Applied Dynamical Systems vol. 18-1 (2019), 510-530
43.
Marc Ethier, Grzegorz Jabłoński, Marian Mrozek
Finding Eigenvalues of Self-maps with the Kronecker Canonical Form vol. 198 (2017), "Applications of Computer Algebra", Springer
42.
41.
Andrzej Gryglewski, Brandon Michael Henry, Marian Mrozek, Krzysztof Piech, Krzysztof Tomaszewski, Marcin Żelawski
40.
K. Mischaikow, Marian Mrozek, Frank Weilandt
39.
Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
38.
37.
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)
36.
Marian Mrozek, Roman Srzednicki, Frank Weilandt
35.
Herbert Edelsbrunner, Grzegorz Jabłoński, Marian Mrozek
The Persistent Homology of a Self-Map, Foundations of Computational Mathematics vol. 15 (2015), 1213-1244
34.
33.
CAPD::RedHom v2 - Homology Software Based on Reduction Algorithms, Lecture Notes in Computer Science vol. 8592 (2014), 160-166
32.
Shaun Harker, K. Mischaikow, Marian Mrozek, Vidit Nanda
31.
Tomasz Kaczynski, Marian Mrozek
Cubical Cohomology Ring: Algorithmic Approach, Foundations of Computational Mathematics vol. 13 (2013), 789-818
30.
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)
29.
Homology Computations via Acyclic Subspace, Lecture Notes in Computer Science vol. 7309 (2012), 117-127
28.
Computational Topology in Text Mining, Lecture Notes in Computer Science vol. 7309 (2012), 68 - 79
27.
Homological methods for extraction and analysis of linear features in multidimensional images, Pattern Recognition vol. 45(1) (2012), 285-298
26.
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
25.
24.
Paweł Dłotko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
Coreduction Homology Algorithm for Regular CW-Complexes, Discrete and Computational Geometry vol. 46 (2011), 361-388
23.
Tomasz Baron, Marcin Cwynar, Tomasz Grodzicki, Barbara Gryglewska, Marian Mrozek, Mirosław Nęcki, Marcin Żelawski
22.
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
21.
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
20.
Marian Mrozek, Thomas Wanner
Coreduction homology algorithm for inclusions and persistent homology, Computers and Mathematics with Applications vol. 60.10 (2010), 2812-2833
19.
Homology of representable sets, Annales Polonici Mathematici vol. 97,3 (2010), 243-252
18.
ˇCech Type Approach to Computing Homology of Maps, Discrete and Computational Geometry vol. 44.3 (2010), 546–576
17.
Homology of representable sets, Annales Polonici Mathematici vol. 97.3 (2010), 243–252
16.
15.
Coreduction homology algorithm, Discrete and Computational Geometry vol. 41 (2009), 96-118
14.
Homological Methods in Feature Extraction of Multidimensional Images, Proceedings of the 2009 2nd International Congress On Image and Signal Processing, Ieee (2009), 1061-1066
13.
12.
Marian Mrozek, Paweł Pilarczyk, Natalia Żelazna
Homology algorithm based on acyclic subspace, Computers and Mathematics with Applications vol. 55 (2008), 2395-2412
11.
The Euler-Poincare characteristic of index maps, Topology and its Applications vol. 154.4 (2007), 859-866
10.
9.
Marian Mrozek, James F. Reineck, Roman Srzednicki, J.F.Reineck
The Conley index over the circle, J. DYNAM. DIFFERENTIAL EQUATIONS 12 (2000), no. 2, 385--409
8.
Marian Mrozek, James F. Reineck, Roman Srzednicki
The Conley index over a base, Transactions of the American Mathematical Society vol. 352 (2000), 4171-4194
7.
Tomasz Kaczynski, Marian Mrozek, Maciej Ślusarek
Homology Computation by Reduction of Chain Complexes, Computers and Mathematics with Applications vol. 35 (1998), 59-70
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 |
---|---|---|
Paweł Dłotko | 2009-12-17 | 2012-01-26 |
Mateusz Juda | 2011-10-27 | 2013-03-28 |
Natalia Żelazna | 2007-09-27 | 2010-09-30 |
Kinga Stolot | 2001-05-31 | 2004-01-08 |
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 |
Michał Lipiński | 2019-03-28 | 2021-11-18 |
Mateusz Przybylski | 2019-03-28 | 2022-01-20 |
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 | 2022-09-30 |
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 |