Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps
Harker, Shaun, Mischaikow, Konstantin, Mrozek, Marian, Nanda, Vidit
Published in Foundations of computational mathematics (01.02.2014)
Published in Foundations of computational mathematics (01.02.2014)
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Journal Article
Graph Approach to the Computation of the Homology of Continuous Maps
Mischaikow, Konstantin, Mrozek, Marian, Pilarczyk, Pawel
Published in Foundations of computational mathematics (01.04.2005)
Published in Foundations of computational mathematics (01.04.2005)
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Journal Article
Chaos in the Lorenz Equations: A Computer Assisted Proof Part III: Classical Parameter Values
Mischaikow, Konstantin, Mrozek, Marian, Szymczak, Andrzej
Published in Journal of Differential Equations (01.01.2001)
Published in Journal of Differential Equations (01.01.2001)
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Journal Article
Combinatorial vs. classical dynamics: Recurrence
Mrozek, Marian, Srzednicki, Roman, Thorpe, Justin, Wanner, Thomas
Published in Communications in nonlinear science & numerical simulation (01.05.2022)
Published in Communications in nonlinear science & numerical simulation (01.05.2022)
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Journal Article
A Lefschetz fixed point theorem for multivalued maps of finite spaces
Barmak, Jonathan Ariel, Mrozek, Marian, Wanner, Thomas
Published in Mathematische Zeitschrift (01.04.2020)
Published in Mathematische Zeitschrift (01.04.2020)
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Journal Article
A complete invariant for shift equivalence for Boolean matrices and finite relations
Akin, Ethan, Mrozek, Marian, Przybylski, Mateusz, Wiseman, Jim
Published in Topology and its applications (01.11.2024)
Published in Topology and its applications (01.11.2024)
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Journal Article
Geometric and topological methods in computer science (11th GETCO conference, 2022)
Goubault, Eric, Mrozek, Marian, Raussen, Martin
Published in Journal of applied and computational topology (01.09.2024)
Published in Journal of applied and computational topology (01.09.2024)
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Journal Article
Coreduction homology algorithm for inclusions and persistent homology
Mrozek, Marian, Wanner, Thomas
Published in Computers & mathematics with applications (1987) (01.11.2010)
Published in Computers & mathematics with applications (1987) (01.11.2010)
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Journal Article
Linking Combinatorial and Classical Dynamics: Conley Index and Morse Decompositions
Batko, Bogdan, Kaczynski, Tomasz, Mrozek, Marian, Wanner, Thomas
Published in Foundations of computational mathematics (01.10.2020)
Published in Foundations of computational mathematics (01.10.2020)
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Journal Article
Conley Index Approach to Sampled Dynamics
Batko, Bogdan, Mischaikow, Konstantin, Mrozek, Marian, Przybylski, Mateusz
Published in SIAM journal on applied dynamical systems (2020)
Published in SIAM journal on applied dynamical systems (2020)
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Journal Article
The Persistent Homology of a Self-Map
Edelsbrunner, Herbert, Jabłoński, Grzegorz, Mrozek, Marian
Published in Foundations of computational mathematics (01.10.2015)
Published in Foundations of computational mathematics (01.10.2015)
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Journal Article
The Cubical Cohomology Ring: An Algorithmic Approach
Kaczynski, Tomasz, Mrozek, Marian
Published in Foundations of computational mathematics (01.10.2013)
Published in Foundations of computational mathematics (01.10.2013)
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Journal Article
A topological method for finding invariant sets of continuous systems
Fribourg, L., Goubault, E., Mohamed, S., Mrozek, M., Putot, S.
Published in Information and computation (01.04.2021)
Published in Information and computation (01.04.2021)
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Journal Article