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List of PublicationsThe following is a list of publications by Paweł Pilarczyk, divided into sections depending on the status of the publication. All the authors are listed in the order they appear in each publication, which is usually the alphabetical order independent of the actual contribution of the co-authors, as is often practiced in mathematics. Where indicated, a PDF file or a zipped PostScript file of the paper is available for download. Note that these are usually preprints which may not contain the most recent corrections made to the official papers, and the formatting may leave a bit to be desired. Moreover, in some cases the pictures may be missing. Therefore, even if you download preprints from this website, you may still consider getting through to the official copies of the papers in the journals they are published in; a link is provided whenever available. Notice: The documents available here have been provided by the contributing authors as a means to ensure timely dissemination of scholarly and technical work on a noncommercial basis. Copyright and all rights therein are maintained by the authors or by other copyright holders, notwithstanding that they have offered their works here electronically. It is understood that all persons copying this information will adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder. PreprintsM. Rosman, M. Palczewski, P. Pilarczyk and A. Bartłomiejczyk, Bistability and chaos in the discrete two-gene Andrecut-Kauffman model, arXiv:2411.16699. November 10, 2024. P. Pilarczyk and S. Luzzatto, Rigorous computation of escape times for parameter intervals in the quadratic map, arXiv:2104.04024. April 8, 2021. Papers in International Peer-Refereed Scientific Periodicals27. P. Pilarczyk and G. Graff,
An absorbing set for the Chialvo map,
Communications in Nonlinear Science and Numerical Simulation
132 (2024), 107947.
26. P. Pilarczyk, G. Graff, J.M. Amigó, K. Tessmer, K. Narkiewicz, and B. Graff,
Differentiating patients with obstructive sleep apnea from healthy controls
based on heart rate–blood pressure coupling quantified by entropy-based indices,
Chaos 33 (2023), 103140.
25. P. Pilarczyk, J. Signerska-Rynkowska, and G. Graff,
Topological-numerical analysis of a two-dimensional discrete neuron model,
Chaos 33 (2023), 043110.
24. G. Graff, B. Graff, P. Pilarczyk, G. Jabłoński, D. Gąsecki, and K. Narkiewicz,
Persistent homology as a new method of the assessment of heart rate variability,
PLoS ONE 16(7) (2021), e0253851.
23. F. Drubi, S. Ibáñez, and P. Pilarczyk,
Nilpotent singularities and chaos: Tritrophic food chains,
Chaos, Solitons and Fractals 142 (2021), 110406.
22. A. Golmakani, C.E. Koudjinan, S. Luzzatto, and P. Pilarczyk,
Rigorous numerics for critical orbits in the quadratic family,
Chaos 30 (2020), 073143.
21. P. Pilarczyk,
A space-efficient algorithm for computing the minimum cycle mean
in a directed graph,
Journal of Mathematics and Computer Science,
Vol. 20, Issue 4 (2020), 349-355.
20. T. Miyaji, P. Pilarczyk, M. Gameiro, H. Kokubu, K. Mischaikow,
A study of rigorous ODE integrators for multi-scale set-oriented computations,
Appl. Numer. Math., Vol. 107 (2016), 34-47.
19. A. Golmakani, S. Luzzatto, P. Pilarczyk,
Uniform expansivity outside a critical neighborhood
in the quadratic family, Exp. Math., Vol. 25, No. 2 (2016), 116-124.
18. S. Harker, H. Kokubu, K. Mischaikow, P. Pilarczyk,
Inducing a map on homology from a correspondence,
Proc. Amer. Math. Soc., Vol. 144, No. 4 (2016), 1787-1801.
17. D.H. Knipl, P. Pilarczyk, G. Röst,
Rich bifurcation structure in a two-patch vaccination model,
SIAM J. Appl. Dyn. Syst.,
Vol. 14, No. 2 (2015), 980-1017.
16. G. Graff, P. Pilarczyk,
An algorithmic approach to estimating the minimal number of periodic points
for smooth self-maps of simply-connected manifolds,
Topol. Methods Nonlinear Anal.,
Vol. 45, No. 1 (2015), 273-286.
15. P. Pilarczyk, P. Real,
Computation of cubical homology, cohomology,
and (co)homological operations via chain contraction,
Adv. Comput. Math.,
Vol. 41, No. 1 (2015), 253-275.
14. P. Kościelniak, M. Mazur, P. Oprocha, P. Pilarczyk,
Shadowing is generic—a continuous map case,
Discrete Contin. Dyn. Syst. A (DCDS-A),
Vol. 34, No. 9 (2014), 3591-3609.
13. J. Bush, M. Gameiro, S. Harker, H. Kokubu, K. Mischaikow,
I. Obayashi, P. Pilarczyk,
Combinatorial-topological framework for the analysis of global dynamics,
Chaos,
Vol. 22, No. 4 (2012), 047508.
12. P. Pilarczyk, L. García, B.A. Carreras, I. Llerena,
A dynamical model for plasma confinement transitions,
J. Phys. A: Math. Theor.,
Vol. 45, No. 12 (2012), 125502.
(highlighted article)
11. E. Liz, P. Pilarczyk,
Global dynamics in a stage-structured
discrete-time population model with harvesting,
J. Theoret. Biol.,
Vol. 297 (2012), 148-165.
10. S. Luzzatto, P. Pilarczyk,
Finite resolution dynamics,
Found. Comput. Math.,
Vol. 11, No. 2 (2011), 211-239.
9. P. Pilarczyk,
Parallelization method for a continuous property,
Found. Comput. Math.,
Vol. 10, No. 1 (2010), 93-114.
8. Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk,
A database schema for the analysis of global dynamics
of multiparameter systems,
SIAM J. Appl. Dyn. Syst.,
Vol. 8, No. 3 (2009), 757-789.
7. Z. Arai, H. Kokubu, P. Pilarczyk,
Recent development in rigorous computational methods
in dynamical systems,
Jpn. J. Ind. Appl. Math.,
Vol. 26, No. 2/3 (2009), 393-417.
6. S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk,
Quantitative hyperbolicity estimates in one-dimensional dynamics,
Nonlinearity,
Vol. 21, No. 9 (2008), 1967-1987.
5. P. Pilarczyk, K. Stolot,
Excision-preserving cubical approach
to the algorithmic computation of the discrete Conley index,
Topology Appl.,
Vol. 155, No. 10 (2008), 1149-1162.
4. M. Mrozek, P. Pilarczyk, N. Żelazna,
Homology algorithm based on acyclic subspace,
Comput. Math. Appl.,
Vol. 55, No. 11 (2008), 2395-2412.
3. G. Chen, K. Mischaikow, R.S. Laramee, P. Pilarczyk, E. Zhang,
Vector field editing and periodic orbit extraction using Morse decomposition,
IEEE TVCG, Vol. 13, No. 4 (2007), 769-785.
2. K. Mischaikow, M. Mrozek, P. Pilarczyk,
Graph approach to the computation of the homology of continuous maps,
Found. Comput. Math.,
Vol. 5, No. 2 (2005), 199-229.
1. P. Pilarczyk,
Computer assisted method for proving existence of periodic orbits,
Topol. Methods Nonlinear Anal.,
Vol. 13, No. 2 (1999), 365-377.
Papers in Conference Proceedings Indexed in ISI5. M. Krčál, P. Pilarczyk,
Computation of Cubical Steenrod Squares.
In: A. Bac and J.-L. Mari (Eds.): Computational Topology in Image Context:
6th International Workshop, CTIC 2016, Marseille, France, June 15-17, 2016.
Proceedings. LNCS 9667, pp. 140-151, 2016.
4. A. Berciano, H. Molina-Abril, A. Pacheco, P. Pilarczyk, P. Real,
Decomposing cavities in digital volumes into products of cycles.
In: S. Brlek, C. Reutenauer, X. Provençal (Eds.):
Discrete Geometry for Computer Imagery:
15th IAPR International Conference, DGCI 2009, Montréal, Canada,
September 30 - October 2, 2009. Proceedings.
LNCS 5810, pp. 263-274, 2009.
3. Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk,
A database schema for the analysis of global dynamics,
Proceedings of the International Conference on Numerical Analysis
and Applied Mathematics, Rethymno, Greece (September 18-22, 2009),
Numerical Analysis and Applied Dynamics, Vols. 1 and 2,
eds. T.E. Simos, G. Psihoyios, C. Tsitouras,
AIP Conference Proceedings 2009, Vol. 1168, pp. 918-921.
2. M. Niethammer, A.N. Stein, W.D. Kalies, P. Pilarczyk,
K. Mischaikow, A. Tannenbaum,
Analysis of blood vessel topology by cubical homology,
Proceedings of the International Conference on Image Processing (2002),
Vol. 2, 969-972.
1. M. Mrozek, P. Pilarczyk,
The Conley index and rigorous numerics for attracting periodic orbits,
Proceedings of the Conference on Variational and Topological Methods
in the Study of Nonlinear Phenomena (Pisa, 2000), pp. 65-74,
Progr. Nonlinear Differential Equations Appl., 49,
Birkhäuser Boston, Boston, MA, 2002.
Papers in Other Conference Proceedings5. B. Graff, G. Graff, P. Pilarczyk, M. Szymanska and K. Narkiewicz,
Assessment of respiratory pattern variability during wakefulness in subjects with sleep apnea,
12th Conference of the European Study Group on Cardiovascular Oscillations (ESGCO),
Vysoké Tatry, Štrbské Pleso, Slovakia, 2022, pp. 1-2.
4. P. Pilarczyk,
Set-oriented numerical analysis
of difference equations with parameters,
Proceedings of the International Workshop
Future Directions in Difference Equations
(June 13-17, 2011, Vigo, Spain),
E. Liz and V. Mañosa Eds.,
Servicio de Publicacións da Universidade de Vigo, 2011, pp. 149-156.
3. M. Gameiro, P. Pilarczyk,
Automatic homology computation with application to pattern classification,
RIMS Kokyuroku Bessatsu B3 (2007), 1-10.
2. P. Pilarczyk,
Topological-numerical approach to the existence
of periodic trajectories in ODEs,
Discrete and Continuous Dynamical Systems 2003,
A Supplement Volume: Dynamical Systems and Differential Equations, 701-708.
1. P. Pilarczyk,
Computer assisted proof of the existence of a periodic orbit
in the Rössler equations,
Proceedings of the International Conference on Differential Equations
(Berlin, 1999), pp. 228-230, World Sci. Publishing, Singapore, 2000.
Papers in National and Local Periodicals2. Y. Hiraoka, P. Pilarczyk,
Introduction to CHomP,
Bulletin of the Japan SIAM,
Vol. 18 (2008), pp. 48-55 (in Japanese).
1. P. Pilarczyk,
Introduction to CHomP, Part II: Advanced features,
in: Summer Seminar on Applied Mathematics "Computational Homology:
Theory & Applications", Hokkaido University Technical Report
Series in Mathematics, ISSN 1248-4338, pp. 2.16-25, 2008 (in Japanese,
translated by Yasuaki Hiraoka).
Open Research Data with a DOI2. P. Pilarczyk,
Stochastic intervals for the family of quadratic maps,
Gdańsk University of Technology, 2020.
1. P. Pilarczyk,
A collection of directed graphs for the minimum cycle mean weight computation,
Gdańsk University of Technology, 2020.
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