Marian Mrozek

According to our database, Marian Mrozek authored at least 39 papers between 1981 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Computing Connection Matrices via Persistence-Like Reductions.

Tamal K. Dey, Michal Lipinski, Marian Mrozek, Ryan Slechta

SIAM J. Appl. Dyn. Syst., March, 2024

2023

Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces.

Michal Lipinski, Jacek Kubica, Marian Mrozek, Thomas Wanner

J. Appl. Comput. Topol., June, 2023

The Depth Poset of a Filtered Lefschetz Complex.

Herbert Edelsbrunner, Marian Mrozek

CoRR, 2023

2022

Persistence of Conley-Morse Graphs in Combinatorial Dynamical Systems.

Tamal K. Dey, Marian Mrozek, Ryan Slechta

SIAM J. Appl. Dyn. Syst., 2022

Combinatorial vs. classical dynamics: Recurrence.

Marian Mrozek, Roman Srzednicki, Justin Thorpe, Thomas Wanner

Commun. Nonlinear Sci. Numer. Simul., 2022

Tracking Dynamical Features via Continuation and Persistence.

Tamal K. Dey, Michal Lipinski, Marian Mrozek, Ryan Slechta

Proceedings of the 38th International Symposium on Computational Geometry, 2022

2021

A topological method for finding invariant sets of continuous systems.

Laurent Fribourg, Eric Goubault, Sameh Mohamed, Marian Mrozek, Sylvie Putot

Inf. Comput., 2021

CAPD: : DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems.

Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski

Commun. Nonlinear Sci. Numer. Simul., 2021

2020

Conley Index Approach to Sampled Dynamics.

Bogdan Batko, Konstantin Mischaikow, Marian Mrozek, Mateusz Przybylski

SIAM J. Appl. Dyn. Syst., 2020

Čech-Delaunay gradient flow and homology inference for self-maps.

Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek

J. Appl. Comput. Topol., 2020

Linking Combinatorial and Classical Dynamics: Conley Index and Morse Decompositions.

Bogdan Batko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner

Found. Comput. Math., 2020

Persistence of the Conley Index in Combinatorial Dynamical Systems.

Tamal K. Dey, Marian Mrozek, Ryan Slechta

Proceedings of the 36th International Symposium on Computational Geometry, 2020

2019

Persistent Homology of Morse Decompositions in Combinatorial Dynamics.

Tamal K. Dey, Mateusz Juda, Tomasz Kapela, Jacek Kubica, Michal Lipinski, Marian Mrozek

SIAM J. Appl. Dyn. Syst., 2019

2017

Conley-Morse-Forman Theory for Combinatorial Multivector Fields on Lefschetz Complexes.

Marian Mrozek

Found. Comput. Math., 2017

Persistence in sampled dynamical systems faster.

Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek

CoRR, 2017

2016

Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems.

Bogdan Batko, Marian Mrozek

SIAM J. Appl. Dyn. Syst., 2016

2015

A Topological Approach to the Algorithmic Computation of the Conley Index for Poincaré Maps.

Marian Mrozek, Roman Srzednicki, Frank Weilandt

SIAM J. Appl. Dyn. Syst., 2015

The Persistent Homology of a Self-Map.

Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek

Found. Comput. Math., 2015

Computing fundamental groups from point clouds.

Piotr Brendel, Pawel Dlotko, Graham Ellis, Mateusz Juda, Marian Mrozek

Appl. Algebra Eng. Commun. Comput., 2015

2014

Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps.

Shaun Harker, Konstantin Mischaikow, Marian Mrozek, Vidit Nanda

Found. Comput. Math., 2014

CAPD: : RedHom v2 - Homology Software Based on Reduction Algorithms.

Mateusz Juda, Marian Mrozek

Proceedings of the Mathematical Software - ICMS 2014, 2014

2013

The Cubical Cohomology Ring: An Algorithmic Approach.

Tomasz Kaczynski, Marian Mrozek

Found. Comput. Math., 2013

2012

Homological methods for extraction and analysis of linear features in multidimensional images.

Marian Mrozek, Marcin Zelawski, A. Gryglewski, S. Han, A. Krajniak

Pattern Recognit., 2012

Distributed computation of coverage in sensor networks by homological methods.

Pawel Dlotko, Robert Ghrist, Mateusz Juda, Marian Mrozek

Appl. Algebra Eng. Commun. Comput., 2012

Computational Topology in Text Mining.

Hubert Wagner, Pawel Dlotko, Marian Mrozek

Proceedings of the Computational Topology in Image Context - 4th International Workshop, 2012

Homology Computations via Acyclic Subspace.

Piotr Brendel, Pawel Dlotko, Marian Mrozek, Natalia Zelazna

Proceedings of the Computational Topology in Image Context - 4th International Workshop, 2012

2011

Coreduction Homology Algorithm for Regular CW-Complexes.

Pawel Dlotko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner

Discret. Comput. Geom., 2011

2010

Topological Approach to Rigorous Numerics of Chaotic Dynamical Systems with Strong Expansion of Error Bounds.

Marian Mrozek, Roman Srzednicki

Found. Comput. Math., 2010

Cech Type Approach to Computing Homology of Maps.

Marian Mrozek

Discret. Comput. Geom., 2010

Coreduction homology algorithm for inclusions and persistent homology.

Marian Mrozek, Thomas Wanner

Comput. Math. Appl., 2010

2009

Coreduction Homology Algorithm.

Marian Mrozek, Bogdan Batko

Discret. Comput. Geom., 2009

2008

Homology algorithm based on acyclic subspace.

Marian Mrozek, Pawel Pilarczyk, Natalia Zelazna

Comput. Math. Appl., 2008

2006

Index Pairs Algorithms.

Marian Mrozek

Found. Comput. Math., 2006

2005

Graph Approach to the Computation of the Homology of Continuous Maps.

Konstantin Mischaikow, Marian Mrozek, Pawel Pilarczyk

Found. Comput. Math., 2005

1998

Chaos in the Lorenz equations: A computer assisted proof. Part II: Details.

Konstantin Mischaikow, Marian Mrozek

Math. Comput., 1998

1997

Heteroclinic Connections in the Kuramoto-Sivashinsky Equation: a Computer Assisted Proof.

Marian Mrozek, Marcin Zelawski

Reliab. Comput., 1997

1996

Rigorous Error Analysis of Numerical Algorithms via Symbolic Computations.

Marian Mrozek

J. Symb. Comput., 1996

1989

Transitively reduced and transitively closed event networks.

Marian Mrozek

Networks, 1989

1981

Generalized inverse of a finite graph.

Marian Mrozek

Fundam. Informaticae, 1981