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Marian Mrozek
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2020 – today
- 2024
- [j33]Eric Goubault, Marian Mrozek, Martin Raussen:
Geometric and topological methods in computer science (11th GETCO conference, 2022). J. Appl. Comput. Topol. 8(4): 857-858 (2024) - [j32]Tamal K. Dey, Michal Lipinski, Marian Mrozek, Ryan Slechta:
Computing Connection Matrices via Persistence-Like Reductions. SIAM J. Appl. Dyn. Syst. 23(1): 81-97 (2024) - 2023
- [j31]Michal Lipinski, Jacek Kubica, Marian Mrozek, Thomas Wanner:
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces. J. Appl. Comput. Topol. 7(2): 139-184 (2023) - [i8]Tamal K. Dey, Michal Lipinski, Marian Mrozek, Ryan Slechta:
Computing Connection Matrices via Persistence-like Reductions. CoRR abs/2303.02549 (2023) - [i7]Herbert Edelsbrunner, Marian Mrozek:
The Depth Poset of a Filtered Lefschetz Complex. CoRR abs/2311.14364 (2023) - 2022
- [j30]Marian Mrozek, Roman Srzednicki, Justin Thorpe, Thomas Wanner:
Combinatorial vs. classical dynamics: Recurrence. Commun. Nonlinear Sci. Numer. Simul. 108: 106226 (2022) - [j29]Tamal K. Dey, Marian Mrozek, Ryan Slechta:
Persistence of Conley-Morse Graphs in Combinatorial Dynamical Systems. SIAM J. Appl. Dyn. Syst. 21(2): 817-839 (2022) - [c6]Tamal K. Dey, Michal Lipinski, Marian Mrozek, Ryan Slechta:
Tracking Dynamical Features via Continuation and Persistence. SoCG 2022: 35:1-35:17 - [i6]Tamal K. Dey, Michal Lipinski, Marian Mrozek, Ryan Slechta:
Tracking Dynamical Features via Continuation and Persistence. CoRR abs/2203.05727 (2022) - 2021
- [j28]Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski:
CAPD: : DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems. Commun. Nonlinear Sci. Numer. Simul. 101: 105578 (2021) - [j27]Laurent Fribourg, Eric Goubault, Sameh Mohamed, Marian Mrozek, Sylvie Putot:
A topological method for finding invariant sets of continuous systems. Inf. Comput. 277: 104581 (2021) - [i5]Tamal K. Dey, Marian Mrozek, Ryan Slechta:
Persistence of Conley-Morse Graphs in Combinatorial Dynamical Systems. CoRR abs/2107.02115 (2021) - 2020
- [j26]Bogdan Batko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner:
Linking Combinatorial and Classical Dynamics: Conley Index and Morse Decompositions. Found. Comput. Math. 20(5): 967-1012 (2020) - [j25]Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek:
Čech-Delaunay gradient flow and homology inference for self-maps. J. Appl. Comput. Topol. 4(4): 455-480 (2020) - [j24]Bogdan Batko, Konstantin Mischaikow, Marian Mrozek, Mateusz Przybylski:
Conley Index Approach to Sampled Dynamics. SIAM J. Appl. Dyn. Syst. 19(1): 665-704 (2020) - [c5]Tamal K. Dey, Marian Mrozek, Ryan Slechta:
Persistence of the Conley Index in Combinatorial Dynamical Systems. SoCG 2020: 37:1-37:17 - [i4]Tamal K. Dey, Marian Mrozek, Ryan Slechta:
Persistence of the Conley Index in Combinatorial Dynamical Systems. CoRR abs/2003.05579 (2020) - [i3]Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski:
CAPD: : DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems. CoRR abs/2010.07097 (2020)
2010 – 2019
- 2019
- [j23]Tamal K. Dey, Mateusz Juda, Tomasz Kapela, Jacek Kubica, Michal Lipinski, Marian Mrozek:
Persistent Homology of Morse Decompositions in Combinatorial Dynamics. SIAM J. Appl. Dyn. Syst. 18(1): 510-530 (2019) - 2018
- [i2]Tamal K. Dey, Mateusz Juda, Tomasz Kapela, Jacek Kubica, Michal Lipinski, Marian Mrozek:
Persistent Homology of Morse Decompositions in Combinatorial Dynamics. CoRR abs/1801.06590 (2018) - 2017
- [j22]Marian Mrozek:
Conley-Morse-Forman Theory for Combinatorial Multivector Fields on Lefschetz Complexes. Found. Comput. Math. 17(6): 1585-1633 (2017) - [i1]Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek:
Persistence in sampled dynamical systems faster. CoRR abs/1709.04068 (2017) - 2016
- [j21]Bogdan Batko, Marian Mrozek:
Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems. SIAM J. Appl. Dyn. Syst. 15(2): 1143-1162 (2016) - 2015
- [j20]Piotr Brendel, Pawel Dlotko, Graham Ellis, Mateusz Juda, Marian Mrozek:
Computing fundamental groups from point clouds. Appl. Algebra Eng. Commun. Comput. 26(1-2): 27-48 (2015) - [j19]Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek:
The Persistent Homology of a Self-Map. Found. Comput. Math. 15(5): 1213-1244 (2015) - [j18]Marian Mrozek, Roman Srzednicki, Frank Weilandt:
A Topological Approach to the Algorithmic Computation of the Conley Index for Poincaré Maps. SIAM J. Appl. Dyn. Syst. 14(3): 1348-1386 (2015) - [c4]Laurent Fribourg, Eric Goubault, Sameh Mohamed, Marian Mrozek, Sylvie Putot:
A Topological Method for Finding Invariant Sets of Continuous Systems. RP 2015: 63-75 - 2014
- [j17]Shaun Harker, Konstantin Mischaikow, Marian Mrozek, Vidit Nanda:
Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps. Found. Comput. Math. 14(1): 151-184 (2014) - [c3]Mateusz Juda, Marian Mrozek:
CAPD: : RedHom v2 - Homology Software Based on Reduction Algorithms. ICMS 2014: 160-166 - 2013
- [j16]Tomasz Kaczynski, Marian Mrozek:
The Cubical Cohomology Ring: An Algorithmic Approach. Found. Comput. Math. 13(5): 789-818 (2013) - 2012
- [j15]Pawel Dlotko, Robert Ghrist, Mateusz Juda, Marian Mrozek:
Distributed computation of coverage in sensor networks by homological methods. Appl. Algebra Eng. Commun. Comput. 23(1-2): 29-58 (2012) - [j14]Marian Mrozek, Marcin Zelawski, A. Gryglewski, S. Han, A. Krajniak:
Homological methods for extraction and analysis of linear features in multidimensional images. Pattern Recognit. 45(1): 285-298 (2012) - [c2]Hubert Wagner, Pawel Dlotko, Marian Mrozek:
Computational Topology in Text Mining. CTIC 2012: 68-78 - [c1]Piotr Brendel, Pawel Dlotko, Marian Mrozek, Natalia Zelazna:
Homology Computations via Acyclic Subspace. CTIC 2012: 117-127 - 2011
- [j13]Pawel Dlotko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner:
Coreduction Homology Algorithm for Regular CW-Complexes. Discret. Comput. Geom. 46(2): 361-388 (2011) - 2010
- [j12]Marian Mrozek, Thomas Wanner:
Coreduction homology algorithm for inclusions and persistent homology. Comput. Math. Appl. 60(10): 2812-2833 (2010) - [j11]Marian Mrozek:
Cech Type Approach to Computing Homology of Maps. Discret. Comput. Geom. 44(3): 546-576 (2010) - [j10]Marian Mrozek, Roman Srzednicki:
Topological Approach to Rigorous Numerics of Chaotic Dynamical Systems with Strong Expansion of Error Bounds. Found. Comput. Math. 10(2): 191-220 (2010)
2000 – 2009
- 2009
- [j9]Marian Mrozek, Bogdan Batko:
Coreduction Homology Algorithm. Discret. Comput. Geom. 41(1): 96-118 (2009) - 2008
- [j8]Marian Mrozek, Pawel Pilarczyk, Natalia Zelazna:
Homology algorithm based on acyclic subspace. Comput. Math. Appl. 55(11): 2395-2412 (2008) - 2006
- [j7]Marian Mrozek:
Index Pairs Algorithms. Found. Comput. Math. 6(4): 457-493 (2006) - 2005
- [j6]Konstantin Mischaikow, Marian Mrozek, Pawel Pilarczyk:
Graph Approach to the Computation of the Homology of Continuous Maps. Found. Comput. Math. 5(2): 199-229 (2005)
1990 – 1999
- 1998
- [j5]Konstantin Mischaikow, Marian Mrozek:
Chaos in the Lorenz equations: A computer assisted proof. Part II: Details. Math. Comput. 67(223): 1023-1046 (1998) - 1997
- [j4]Marian Mrozek, Marcin Zelawski:
Heteroclinic Connections in the Kuramoto-Sivashinsky Equation: a Computer Assisted Proof. Reliab. Comput. 3(3): 277-285 (1997) - 1996
- [j3]Marian Mrozek:
Rigorous Error Analysis of Numerical Algorithms via Symbolic Computations. J. Symb. Comput. 22(4): 435-458 (1996)
1980 – 1989
- 1989
- [j2]Marian Mrozek:
Transitively reduced and transitively closed event networks. Networks 19(1): 47-72 (1989) - 1981
- [j1]Marian Mrozek:
Generalized inverse of a finite graph. Fundam. Informaticae 4(3): 499-510 (1981)
Coauthor Index
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