Marian Mrozek

According to our database1, Marian Mrozek authored at least 32 papers between 1989 and 2020.

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Bibliography

2020
Conley Index Approach to Sampled Dynamics.
SIAM J. Appl. Dyn. Syst., 2020

Čech-Delaunay gradient flow and homology inference for self-maps.
J. Appl. Comput. Topol., 2020

Linking Combinatorial and Classical Dynamics: Conley Index and Morse Decompositions.
Found. Comput. Math., 2020

CAPD: : DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems.
CoRR, 2020

Persistence of the Conley Index in Combinatorial Dynamical Systems.
Proceedings of the 36th International Symposium on Computational Geometry, 2020

2019
Persistent Homology of Morse Decompositions in Combinatorial Dynamics.
SIAM J. Appl. Dyn. Syst., 2019

2017
Conley-Morse-Forman Theory for Combinatorial Multivector Fields on Lefschetz Complexes.
Found. Comput. Math., 2017

Persistence in sampled dynamical systems faster.
CoRR, 2017

2016
Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems.
SIAM J. Appl. Dyn. Syst., 2016

2015
A Topological Approach to the Algorithmic Computation of the Conley Index for Poincaré Maps.
SIAM J. Appl. Dyn. Syst., 2015

The Persistent Homology of a Self-Map.
Found. Comput. Math., 2015

Computing fundamental groups from point clouds.
Appl. Algebra Eng. Commun. Comput., 2015

A Topological Method for Finding Invariant Sets of Continuous Systems.
Proceedings of the Reachability Problems - 9th International Workshop, 2015

2014
Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps.
Found. Comput. Math., 2014

CAPD: : RedHom v2 - Homology Software Based on Reduction Algorithms.
Proceedings of the Mathematical Software - ICMS 2014, 2014

2013
The Cubical Cohomology Ring: An Algorithmic Approach.
Found. Comput. Math., 2013

2012
Homological methods for extraction and analysis of linear features in multidimensional images.
Pattern Recognit., 2012

Distributed computation of coverage in sensor networks by homological methods.
Appl. Algebra Eng. Commun. Comput., 2012

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

Homology Computations via Acyclic Subspace.
Proceedings of the Computational Topology in Image Context - 4th International Workshop, 2012

2011
Coreduction Homology Algorithm for Regular CW-Complexes.
Discret. Comput. Geom., 2011

2010
Topological Approach to Rigorous Numerics of Chaotic Dynamical Systems with Strong Expansion of Error Bounds.
Found. Comput. Math., 2010

Cech Type Approach to Computing Homology of Maps.
Discret. Comput. Geom., 2010

Coreduction homology algorithm for inclusions and persistent homology.
Comput. Math. Appl., 2010

2009
Coreduction Homology Algorithm.
Discret. Comput. Geom., 2009

2008
Homology algorithm based on acyclic subspace.
Comput. Math. Appl., 2008

2006
Index Pairs Algorithms.
Found. Comput. Math., 2006

2005
Graph Approach to the Computation of the Homology of Continuous Maps.
Found. Comput. Math., 2005

1998
Chaos in the Lorenz equations: A computer assisted proof. Part II: Details.
Math. Comput., 1998

1997
Heteroclinic Connections in the Kuramoto-Sivashinsky Equation: a Computer Assisted Proof.
Reliab. Comput., 1997

1996
Rigorous Error Analysis of Numerical Algorithms via Symbolic Computations.
J. Symb. Comput., 1996

1989
Transitively reduced and transitively closed event networks.
Networks, 1989


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