Marian Mrożek

2.8k total citations
76 papers, 1.6k citations indexed

About

Marian Mrożek is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Marian Mrożek has authored 76 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Mathematical Physics, 39 papers in Computational Theory and Mathematics and 24 papers in Geometry and Topology. Recurrent topics in Marian Mrożek's work include Topological and Geometric Data Analysis (31 papers), Mathematical Dynamics and Fractals (28 papers) and Homotopy and Cohomology in Algebraic Topology (28 papers). Marian Mrożek is often cited by papers focused on Topological and Geometric Data Analysis (31 papers), Mathematical Dynamics and Fractals (28 papers) and Homotopy and Cohomology in Algebraic Topology (28 papers). Marian Mrożek collaborates with scholars based in Poland, United States and Canada. Marian Mrożek's co-authors include Konstantin Mischaikow, Tomasz Kaczyński, Andrzej Szymczak, Julia Reiss, Thomas Wanner, Piotr Zgliczyński, Paweł Pilarczyk, Krzysztof P. Rybakowski, Roman Srzednicki and Paweł Dłotko and has published in prestigious journals such as Physical Review Letters, Mathematics of Computation and Pattern Recognition.

In The Last Decade

Marian Mrożek

65 papers receiving 1.4k citations

Peers

Marian Mrożek

CTM

SNP

CNC

Allen Hatcher United States

Andrei Agrachev Italy

Yitzhak Katznelson United States

James R. Munkres United States

Nicola Gigli Italy

Gert Vegter Netherlands

Van Vu United States

Velimir Jurdjevic Canada

Richard F. Bass United States

Dmitri Burago United States

Allen Hatcher United States

Marian Mrożek

2.0k ×2.5

1.1k ×1.4

CTM

243 ×0.4

SNP

2.2k ×6.3

105 ×0.5

CNC

Citations per year, relative to Marian Mrożek Marian Mrożek (= 1×) peers Allen Hatcher

Countries citing papers authored by Marian Mrożek

Since Specialization

Citations

This map shows the geographic impact of Marian Mrożek's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Marian Mrożek with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Marian Mrożek more than expected).

Fields of papers citing papers by Marian Mrożek

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Marian Mrożek. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Marian Mrożek. The network helps show where Marian Mrożek may publish in the future.

Co-authorship network of co-authors of Marian Mrożek

This figure shows the co-authorship network connecting the top 25 collaborators of Marian Mrożek. A scholar is included among the top collaborators of Marian Mrożek based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Marian Mrożek. Marian Mrożek is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Barmak, Jonathan Ariel, Marian Mrożek, & Thomas Wanner. (2024). Conley Index for Multivalued Maps on Finite Topological Spaces. Foundations of Computational Mathematics.

Mischaikow, Konstantin, et al.. (2024). Morse Predecomposition of an Invariant Set. Qualitative Theory of Dynamical Systems. 24(1). 5–5. 1 indexed citations

Mrożek, Marian, et al.. (2023). The Szymczak Functor and Shift Equivalence on the Category of Finite Sets and Finite Relations. Journal of Dynamics and Differential Equations. 37(2). 1835–1870.

Dey, Tamal K., et al.. (2020). Persistence of the Conley Index in Combinatorial Dynamical Systems. arXiv (Cornell University). 1 indexed citations

Mischaikow, Konstantin, et al.. (2013). Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps. Foundations of Computational Mathematics. 14(1). 151–184. 42 indexed citations

Mrożek, Marian & Thomas Wanner. (2010). Coreduction homology algorithm for inclusions and persistent homology. Computers & Mathematics with Applications. 60(10). 2812–2833. 21 indexed citations

Mrożek, Marian, et al.. (2008). Coreduction Homology Algorithm. Discrete & Computational Geometry. 41(1). 96–118. 52 indexed citations

Mrożek, Marian, et al.. (2007). Homology algorithm based on acyclic subspace. Computers & Mathematics with Applications. 55(11). 2395–2412. 28 indexed citations

Mrożek, Marian, et al.. (2004). Discrete version of a geometric method for detecting chaotic dynamics. Topology and its Applications. 152(1-2). 70–82. 4 indexed citations

10.

Mischaikow, Konstantin, Marian Mrożek, & Andrzej Szymczak. (2001). Chaos in the Lorenz Equations: A Computer Assisted Proof Part III: Classical Parameter Values. Journal of Differential Equations. 169(1). 17–56. 26 indexed citations

11.

Mrożek, Marian, et al.. (2000). The Conley Index Over the Circle. Journal of Dynamics and Differential Equations. 12(2). 385–409. 2 indexed citations

12.

Mischaikow, Konstantin, Marian Mrożek, Julia Reiss, & Andrzej Szymczak. (1999). Construction of Symbolic Dynamics from Experimental Time Series. Physical Review Letters. 82(6). 1144–1147. 103 indexed citations

13.

Kaczyński, Tomasz, et al.. (1998). Homology computation by reduction of chain complexes. Computers & Mathematics with Applications. 35(4). 59–70. 61 indexed citations

14.

Mrożek, Marian. (1996). Topological invariants, mulitvalued maps and computer assisted proofs in dynamics. Computers & Mathematics with Applications. 32(4). 83–104. 22 indexed citations

15.

Kaczyński, Tomasz & Marian Mrożek. (1995). Conley index for discrete multi-valued dynamical systems. Topology and its Applications. 65(1). 83–96. 42 indexed citations

16.

McCord, Christopher, Konstantin Mischaikow, & Marian Mrożek. (1995). Zeta Functions, Periodic Trajectories, and the Conley Index. Journal of Differential Equations. 121(2). 258–292. 28 indexed citations

17.

Mrożek, Marian. (1994). Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces. Fundamenta Mathematicae. 145(1). 15–37. 23 indexed citations

18.

Mrożek, Marian & Krzysztof P. Rybakowski. (1991). A cohomological Conley index for maps on metric spaces. Journal of Differential Equations. 90(1). 143–171. 21 indexed citations

19.

Mrożek, Marian. (1990). A cohomological index of Conley type for multi-valued admissible flows. Journal of Differential Equations. 84(1). 15–51. 26 indexed citations

20.

Mrożek, Marian. (1989). Transitively reduced and transitively closed event networks. Networks. 19(1). 47–72. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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