Marian Mrozek

Publication Activity (10 Years)

Years Active: 1981-2024
Publications (10 Years): 22

Top Topics

Partially Observable

Qualitative Simulation

Dynamical Systems

Persistent Homology

Top Venues

SIAM J. Appl. Dyn. Syst.

Found. Comput. Math.

Commun. Nonlinear Sci. Numer. Simul.

Publications

Tamal K. Dey, Michal Lipinski, Marian Mrozek, Ryan Slechta
Computing Connection Matrices via Persistence-Like Reductions. SIAM J. Appl. Dyn. Syst. 23 (1) (2024)
Herbert Edelsbrunner, Marian Mrozek
The Depth Poset of a Filtered Lefschetz Complex. CoRR (2023)
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) (2023)
Tamal K. Dey, Michal Lipinski, Marian Mrozek, Ryan Slechta
Computing Connection Matrices via Persistence-like Reductions. CoRR (2023)
Tamal K. Dey, Marian Mrozek, Ryan Slechta
Persistence of Conley-Morse Graphs in Combinatorial Dynamical Systems. SIAM J. Appl. Dyn. Syst. 21 (2) (2022)
Tamal K. Dey, Michal Lipinski, Marian Mrozek, Ryan Slechta
Tracking Dynamical Features via Continuation and Persistence. CoRR (2022)
Tamal K. Dey, Michal Lipinski, Marian Mrozek, Ryan Slechta
Tracking Dynamical Features via Continuation and Persistence. SoCG (2022)
Marian Mrozek, Roman Srzednicki, Justin Thorpe, Thomas Wanner
Combinatorial vs. classical dynamics: Recurrence. Commun. Nonlinear Sci. Numer. Simul. 108 (2022)
Tamal K. Dey, Marian Mrozek, Ryan Slechta
Persistence of Conley-Morse Graphs in Combinatorial Dynamical Systems. CoRR (2021)
Laurent Fribourg, Eric Goubault, Sameh Mohamed, Marian Mrozek, Sylvie Putot
A topological method for finding invariant sets of continuous systems. Inf. Comput. 277 (2021)
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 (2021)
Tamal K. Dey, Marian Mrozek, Ryan Slechta
Persistence of the Conley Index in Combinatorial Dynamical Systems. CoRR (2020)
Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski
CAPD: : DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems. CoRR (2020)
Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek
Čech-Delaunay gradient flow and homology inference for self-maps. J. Appl. Comput. Topol. 4 (4) (2020)
Bogdan Batko, Konstantin Mischaikow, Marian Mrozek, Mateusz Przybylski
Conley Index Approach to Sampled Dynamics. SIAM J. Appl. Dyn. Syst. 19 (1) (2020)
Bogdan Batko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
Linking Combinatorial and Classical Dynamics: Conley Index and Morse Decompositions. Found. Comput. Math. 20 (5) (2020)
Tamal K. Dey, Marian Mrozek, Ryan Slechta
Persistence of the Conley Index in Combinatorial Dynamical Systems. SoCG (2020)
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) (2019)
Tamal K. Dey, Mateusz Juda, Tomasz Kapela, Jacek Kubica, Michal Lipinski, Marian Mrozek
Persistent Homology of Morse Decompositions in Combinatorial Dynamics. CoRR (2018)
Marian Mrozek
Conley-Morse-Forman Theory for Combinatorial Multivector Fields on Lefschetz Complexes. Found. Comput. Math. 17 (6) (2017)
Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek
Persistence in sampled dynamical systems faster. CoRR (2017)
Bogdan Batko, Marian Mrozek
Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems. SIAM J. Appl. Dyn. Syst. 15 (2) (2016)
Laurent Fribourg, Eric Goubault, Sameh Mohamed, Marian Mrozek, Sylvie Putot
A Topological Method for Finding Invariant Sets of Continuous Systems. RP (2015)
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) (2015)
Piotr Brendel, Pawel Dlotko, Graham Ellis, Mateusz Juda, Marian Mrozek
Computing fundamental groups from point clouds. Appl. Algebra Eng. Commun. Comput. 26 (1-2) (2015)
Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek
The Persistent Homology of a Self-Map. Found. Comput. Math. 15 (5) (2015)
Shaun Harker, Konstantin Mischaikow, Marian Mrozek, Vidit Nanda
Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps. Found. Comput. Math. 14 (1) (2014)
Mateusz Juda, Marian Mrozek
CAPD: : RedHom v2 - Homology Software Based on Reduction Algorithms. ICMS (2014)
Tomasz Kaczynski, Marian Mrozek
The Cubical Cohomology Ring: An Algorithmic Approach. Found. Comput. Math. 13 (5) (2013)
Piotr Brendel, Pawel Dlotko, Marian Mrozek, Natalia Zelazna
Homology Computations via Acyclic Subspace. CTIC (2012)
Hubert Wagner, Pawel Dlotko, Marian Mrozek
Computational Topology in Text Mining. CTIC (2012)
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) (2012)
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) (2012)
Pawel Dlotko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
Coreduction Homology Algorithm for Regular CW-Complexes. Discret. Comput. Geom. 46 (2) (2011)
Marian Mrozek, Roman Srzednicki
Topological Approach to Rigorous Numerics of Chaotic Dynamical Systems with Strong Expansion of Error Bounds. Found. Comput. Math. 10 (2) (2010)
Marian Mrozek
Cech Type Approach to Computing Homology of Maps. Discret. Comput. Geom. 44 (3) (2010)
Marian Mrozek, Thomas Wanner
Coreduction homology algorithm for inclusions and persistent homology. Comput. Math. Appl. 60 (10) (2010)
Marian Mrozek, Bogdan Batko
Coreduction Homology Algorithm. Discret. Comput. Geom. 41 (1) (2009)
Marian Mrozek, Pawel Pilarczyk, Natalia Zelazna
Homology algorithm based on acyclic subspace. Comput. Math. Appl. 55 (11) (2008)
Marian Mrozek
Index Pairs Algorithms. Found. Comput. Math. 6 (4) (2006)
Konstantin Mischaikow, Marian Mrozek, Pawel Pilarczyk
Graph Approach to the Computation of the Homology of Continuous Maps. Found. Comput. Math. 5 (2) (2005)
Konstantin Mischaikow, Marian Mrozek
Chaos in the Lorenz equations: A computer assisted proof. Part II: Details. Math. Comput. 67 (223) (1998)
Marian Mrozek, Marcin Zelawski
Heteroclinic Connections in the Kuramoto-Sivashinsky Equation: a Computer Assisted Proof. Reliab. Comput. 3 (3) (1997)
Marian Mrozek
Rigorous Error Analysis of Numerical Algorithms via Symbolic Computations. J. Symb. Comput. 22 (4) (1996)
Marian Mrozek
Transitively reduced and transitively closed event networks. Networks 19 (1) (1989)
Marian Mrozek
Generalized inverse of a finite graph. Fundam. Informaticae 4 (3) (1981)