Marian Mrozek

Marian Mrozek

Uniwersytet Jagiellonski

H-index: 34

Europe-Poland

About Marian Mrozek

Marian Mrozek, With an exceptional h-index of 34 and a recent h-index of 16 (since 2020), a distinguished researcher at Uniwersytet Jagiellonski, specializes in the field of computational topology and dynamics.

His recent articles reflect a diverse array of research interests and contributions to the field:

Computing connection matrices via persistence-like reductions

Morse predecomposition of an ivariant set

The Szymczak Functor and Shift Equivalence on the Category of Finite Sets and Finite Relations

The Depth Poset of a Filtered Lefschetz Complex

Conley index for multivalued maps on finite topological spaces

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

Combinatorial vs. classical dynamics: Recurrence

The Szymczak Functor on the Category of Finite Sets and Finite Relations

Marian Mrozek Information

University

Position

___

Citations(all)

4633

Citations(since 2020)

1116

Cited By

3920

hIndex(all)

34

hIndex(since 2020)

16

i10Index(all)

67

i10Index(since 2020)

29

Email

University Profile Page

Uniwersytet Jagiellonski

Google Scholar

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Marian Mrozek Skills & Research Interests

computational topology and dynamics

Top articles of Marian Mrozek

Title

Journal

Author(s)

Publication Date

Computing connection matrices via persistence-like reductions

SIAM Journal on Applied Dynamical Systems

Tamal K Dey

Michał Lipiński

Marian Mrozek

Ryan Slechta

2024/3/31

Morse predecomposition of an ivariant set

arXiv preprint arXiv:2312.08013

Michał Lipiński

Konstantin Mischaikow

Marian Mrozek

2023/12/13

The Szymczak Functor and Shift Equivalence on the Category of Finite Sets and Finite Relations

Journal of Dynamics and Differential Equations

Mateusz Przybylski

Marian Mrozek

Jim Wiseman

2023/12/9

The Depth Poset of a Filtered Lefschetz Complex

arXiv preprint arXiv:2311.14364

Herbert Edelsbrunner

Marian Mrozek

2023/11/24

Conley index for multivalued maps on finite topological spaces

arXiv preprint arXiv:2310.03099

Jonathan Barmak

Marian Mrozek

Thomas Wanner

2023/10/4

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

Journal of Applied and Computational Topology

Michał Lipiński

Jacek Kubica

Marian Mrozek

Thomas Wanner

2023/6

Combinatorial vs. classical dynamics: Recurrence

Communications in Nonlinear Science and Numerical Simulation

Marian Mrozek

Roman Srzednicki

Justin Thorpe

Thomas Wanner

2022/5/1

The Szymczak Functor on the Category of Finite Sets and Finite Relations

arXiv preprint arXiv:2203.08525

Mateusz Przybylski

Marian Mrozek

Jim Wiseman

2022/3/16

Tracking dynamical features via continuation and persistence

arXiv preprint arXiv:2203.05727

Tamal K Dey

Michał Lipiński

Marian Mrozek

Ryan Slechta

2022/3/11

Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems

SIAM Journal on Applied Dynamical Systems

Tamal K Dey

Marian Mrozek

Ryan Slechta

2022

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

Communications in nonlinear science and numerical simulation

Tomasz Kapela

Marian Mrozek

Daniel Wilczak

Piotr Zgliczyński

2021/10/1

A topological method for finding invariant sets of continuous systems

Information and Computation

Laurent Fribourg

Eric Goubault

Sameh Mohamed

Marian Mrozek

Sylvie Putot

2021/4/1

Connection matrices in combinatorial topological dynamics

arXiv preprint arXiv:2103.04269

Marian Mrozek

Thomas Wanner

2021/3/7

Creating semiflows on simplicial complexes from combinatorial vector fields

Journal of Differential Equations

Marian Mrozek

Thomas Wanner

2021/12/15

A Lefschetz fixed point theorem for multivalued maps of finite spaces

Mathematische Zeitschrift

Jonathan Ariel Barmak

Marian Mrozek

Thomas Wanner

2020/4

Persistence of the Conley index in combinatorial dynamical systems

arXiv preprint arXiv:2003.05579

Tamal K Dey

Marian Mrozek

Ryan Slechta

2020/3/12

Conley index approach to sampled dynamics

SIAM journal on applied dynamical systems

Bogdan Batko

Konstantin Mischaikow

Marian Mrozek

Mateusz Przybylski

2020

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

Journal of Applied and Computational Topology

Ulrich Bauer

Herbert Edelsbrunner

Grzegorz Jabłoński

Marian Mrozek

2020/12

Linking combinatorial and classical dynamics: Conley index and Morse decompositions

Foundations of Computational Mathematics

Bogdan Batko

Tomasz Kaczynski

Marian Mrozek

Thomas Wanner

2020/10

See List of Professors in Marian Mrozek University(Uniwersytet Jagiellonski)

Co-Authors

H-index: 93
Herbert Edelsbrunner

Herbert Edelsbrunner

Institute of Science and Technology Austria

H-index: 60
Tamal K. Dey

Tamal K. Dey

Purdue University

H-index: 55
Konstantin Mischaikow

Konstantin Mischaikow

Rutgers, The State University of New Jersey

H-index: 41
Joshua D. Reiss

Joshua D. Reiss

Queen Mary University of London

H-index: 30
Piotr Zgliczyński

Piotr Zgliczyński

Uniwersytet Jagiellonski

H-index: 25
Sylvie Putot

Sylvie Putot

École Polytechnique

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