prof. dr hab. Marian Mrozek
Jednostki:
- Wydział Matematyki i Informatyki UJ
- Instytut Informatyki i Matematyki Komputerowej
- Katedra Matematyki Obliczeniowej
Publikacje:
43.
42.
Finding Eigenvalues of Self-maps with the Kronecker Canonical Form vol. 198 (2017), "Applications of Computer Algebra", Springer
41.
Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes, FOUND COMPUT MATH vol. 17 (2017), 1585-1633
40.
39.
38.
37.
Weak index pairs and the Conley index for discrete multivalued dynamical systems, SIAM J APPL DYN SYST vol. 15.2 (2016), 1143-1162
36.
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.
34.
The Persistent Homology of a Self-Map, FOUND COMPUT MATH vol. 15 (2015), 1213-1244
33.
Computing fundamental groups from point clouds, APPL ALGEBR ENG COMM vol. 26 (2015), 27-48
32.
CAPD::RedHom v2 - Homology Software Based on Reduction Algorithms, LECTURE NOTES IN COMPUTER SCIENCE vol. 8592 (2014), 160-166
31.
30.
Cubical Cohomology Ring: Algorithmic Approach, FOUND COMPUT MATH 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.
25.
Distributed computation of coverage in sensor networks by homological methods, APPL ALGEBR ENG COMM vol. 23, Issue 1-2 (2012), 29-58
24.
23.
Coreduction Homology Algorithm for Regular CW-Complexes, DISCRETE COMPUT GEOM vol. 46 (2011), 361-388
22.
21.
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.
Coreduction homology algorithm for inclusions and persistent homology, COMPUT MATH APPL vol. 60.10 (2010), 2812-2833
18.
Homology of representable sets, ANN POL MATH vol. 97,3 (2010), 243-252
17.
ˇCech Type Approach to Computing Homology of Maps, DISCRETE COMPUT GEOM vol. 44.3 (2010), 546–576
16.
Homology of representable sets, ANN POL MATH vol. 97.3 (2010), 243–252
15.
14.
Coreduction homology algorithm, DISCRETE COMPUT GEOM 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.
Homology algorithm based on acyclic subspace, COMPUT MATH APPL vol. 55 (2008), 2395-2412
10.
The Euler-Poincare characteristic of index maps, TOPOL APPL vol. 154.4 (2007), 859-866
9.
Discrete version of a geometric method for detecting chaotic dynamics, TOPOL APPL vol. 152 (2005), 70-82
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.
The Conley index over a base, T AM MATH SOC 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.
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.
8th Conference on Foundations of Computational Mathematics, FoCM, Montevideo, Urugwaj, 2014-12-01 - 2014-12-20
6.
Seventh de Brún Workshop on Homological Perturbation Theory, NUI Galway, Galway, Ireland, 2014-12-01 - 2014-12-05
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 |
---|---|---|
Michał Lipiński | 2019-03-28 | |
Mateusz Przybylski | 2019-03-28 | |
Kinga Stolot | 2001-05-31 | 2004-01-08 |
Frank Weilandt | 2013-09-26 | 2016-05-19 |
Grzegorz Jabłoński | 2013-06-27 | 2015-11-26 |
Piotr Brendel | 2013-06-27 | 2017-01-26 |
Hubert Wagner | 2012-10-25 | 2014-11-27 |
Andrzej Krajniak | 2012-06-28 | |
Mateusz Juda | 2011-10-27 | 2013-03-28 |
Paweł Dłotko | 2009-12-17 | 2012-01-26 |
Natalia Żelazna | 2007-09-27 | 2010-09-30 |
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 | ||
Doktorat: Tomasz Kapela | Katedra Matematyki Obliczeniowej |
Granty (realizowane po maju 2009 roku)
Tytuł | Rola | Rozpoczęcie | Zakończenie |
---|---|---|---|
Obliczeniowa dynamika topologiczna | Kierownik | 2015-02-12 | 2020-02-11 |
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 |