Michał Lipiński

Institute of Science and Technology Austria — Austria

Computer Science · Physical Sciences

3h-index45citations17works1.22yr avg
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Research Topics

Topological and Geometric Data Analysis(14), Homotopy and Cohomology in Algebraic Topology(3), Mathematical Dynamics and Fractals(2), Molecular spectroscopy and chirality(2), Cell Image Analysis Techniques(2)

Publications17 total

Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition
SIAM Journal on Applied Dynamical Systems·2026
The Depth Poset under Transpositions in the Filter
arXiv (Cornell University)·2025Open Access
Conley-Morse persistence barcode: a homological signature of a combinatorial bifurcation
arXiv (Cornell University)·2025Open Access
Testing Topological Conjugacy of Time Series
SIAM Journal on Applied Dynamical Systems·2024· 1 cited
Morse Predecomposition of an Invariant Set
Qualitative Theory of Dynamical Systems·2024· 1 citedOpen Access
Computing Connection Matrices via Persistence-Like Reductions
SIAM Journal on Applied Dynamical Systems·2024· 5 citedOpen Access
Morse predecomposition of an ivariant set
arXiv (Cornell University)·2023Open Access
Rigorous computation in dynamics based on topological methods for multivector fields
Journal of Applied and Computational Topology·2023· 2 citedOpen Access
Computing Connection Matrices via Persistence-like Reductions
arXiv (Cornell University)·2023Open Access
Testing topological conjugacy of time series
arXiv (Cornell University)·2023Open Access
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
Journal of Applied and Computational Topology·2022· 27 citedOpen Access
Tracking Dynamical Features via Continuation and Persistence
DROPS (Schloss Dagstuhl – Leibniz Center for Informatics)·2022Open Access
Morse theory for loop-free categories
arXiv (Cornell University)·2021Open Access
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
arXiv (Cornell University)·2019· 3 citedOpen Access
Persistence Bag-of-Words for Topological Data Analysis
2019· 5 citedOpen Access
Persistent Homology of Morse Decompositions in Combinatorial Dynamics
SIAM Journal on Applied Dynamical Systems·2019· 1 citedOpen Access
Persistence Bag-of-Words for Topological Data Analysis
arXiv (Cornell University)·2018Open Access

Frequent Co-authors

Marian Mrożek(9), Tamal K. Dey(6), Paweł Dłotko(4), Ryan Slechta(3), Mateusz Juda(3), Jacek Kubica(2), Thomas Wanner(2), Bartosz Zieliński(2), Matthias Zeppelzauer(2), Tomasz Kapela(2), Justyna Signerska‐Rynkowska(2), Konstantin Mischaikow(2), Manuel Soriano-Trigueros(2), Jacek Kubica(1), Donald Woukeng(1), Damian Sadowski(1), Jakub Leśkiewicz(1), Herbert Edelsbrunner(1), Fedor Zimin(1), David Mosquera-Lois(1)