# List of Publications

The 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.

## Preprints

P. Pilarczyk, J. Signerska-Rynkowska and G. Graff,
Topological-numerical analysis of a two-dimensional discrete neuron model,
arXiv:2209.03443 [math.DS].
September 7, 2022.

P. Pilarczyk and S. Luzzatto,
Rigorous computation of escape times
for parameter intervals in the quadratic map,
arXiv:2104.04024 [math.DS].
April 8, 2021.

## Papers in International Peer-Refereed Scientific Periodicals

24. G. Graff, B. Graff, P. Pilarczyk, G. Jabłoński, D. Gąsecki, K. Narkiewicz,
Persistent homology as a new method of the assessment of heart rate variability,
*PLoS ONE* **16(7)** (2021), e0253851.

DOI: 10.1371/journal.pone.0253851 (open access).

[*PLoS (Public Library of Science) ONE*
is indexed in ISI, Online ISSN 1932-6203,
Impact Factor (2020): 3.240.]

23. F. Drubi, S. Ibáñez, and P. Pilarczyk,
Nilpotent singularities and chaos: Tritrophic food chains,
*Chaos, Solitons and Fractals* **142** (2021), 110406.

DOI: 10.1016/j.chaos.2020.110406.

[*Chaos, Solitons and Fractals: An Interdisciplinary Journal of Nonlinear Science*
is indexed in ISI, Print ISSN 0960-0779, Online ISSN 1873-2887,
Impact Factor (2019): 3.764.]

[PDF]

22. A. Golmakani, C.E. Koudjinan, S. Luzzatto, and P. Pilarczyk,
Rigorous numerics for critical orbits in the quadratic family,
*Chaos* **30** (2020), 073143.

DOI: 10.1063/5.0012822.

[*Chaos: An Interdisciplinary Journal of Nonlinear Science*
is indexed in ISI, Print ISSN 1054-1500, Online ISSN 1089-7682,
Impact Factor (2019): 2.832.]

[PDF]
[arXiv:2004.13444] [math.DS]

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.

DOI: 10.22436/jmcs.020.04.08 (open access).

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.

DOI: 10.1016/j.apnum.2016.04.005.

[*Applied Numerical Mathematics*
is indexed in ISI, ISSN 0168-9274,
Impact Factor (2016): 1.087,
MathSciNet MCQ (2014): 0.85.]

[PDF]

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.

DOI: 10.1080/10586458.2015.1048011.

[*Experimental Mathematics*
is indexed in ISI, 1058-6458 (Print), 1944-950X (Online),
Impact Factor (2016): 0.538,
MathSciNet MCQ (2014): 0.53.]

[PDF]

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.

DOI: 10.1090/proc/12812.

[*Proceedings of the American
Mathematical Society (Proceedings of the AMS)*
are indexed in ISI, ISSN 1088-6826 (online), ISSN 0002-9939 (print),
Impact Factor (2016): 0.679,
MathSciNet MCQ (2014): 0.66.]

[PDF]
[arXiv:1411.7563] [math.AT]

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.

DOI: 10.1137/140993934.

[*SIAM Journal on Applied
Dynamical Systems (SIADS)*
is indexed in ISI, ISSN 1536-0040,
Impact Factor (2015): 1.819,
MathSciNet MCQ (2014): 0.82.]

[PDF]

This paper has also been featured at popular science news services:
SIAM Nuggets,
ScienceDaily and
phys.org.

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.

[*Topological Methods
in Nonlinear Analysis (TMNA)*
is indexed in ISI, ISSN 1230-3429,
Impact Factor (2015): 0.717,
MathSciNet MCQ (2014): 0.45.]

[PDF]
[full text (restricted)]

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.

DOI: 10.1007/s10444-014-9356-1.

[*Advances in Computational Mathematics*
is indexed in ISI, ISSN 1019-7168 (print), ISSN 1572-9044 (online),
Impact Factor (2015): 1.325,
MathSciNet MCQ (2014): 1.00.]

[PDF]

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.

DOI: 10.3934/dcds.2014.34.3591.

[*Discrete and Continuous Dynamical
Systems - Series A*
is indexed in ISI, ISSN 1078-0947 (print), ISSN 1553-5231 (online),
Impact Factor (2014): 0.972,
MathSciNet MCQ (2014): 0.87.]

[PDF]

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.

DOI: 10.1063/1.4767672.

[*Chaos. An Interdisciplinary Journal
of Nonlinear Science*
is indexed in ISI, ISSN 1054-1500 (print), ISSN 1089-7682 (online),
Impact Factor (2012): 2.188,
MathSciNet MCQ (2012): 0.24.]

[PDF]
[PS]

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)

DOI: 10.1088/1751-8113/45/12/125502.

[*Journal of Physics A:
Mathematical and Theoretical*
is indexed in ISI, ISSN 1751-8113 (print), ISSN 1751-8121 (online),
Impact Factor (2012): 1.766,
MathSciNet MCQ (2012): 0.21.]

[PDF]
[PS]

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.

DOI: 10.1016/j.jtbi.2011.12.012.

[*Journal of Theoretical Biology*
is indexed in ISI, ISSN 0022-5193,
Impact Factor (2012): 2.351,
MathSciNet MCQ (2012): 0.08.]

[PDF]
[PS]
[PDF_grey]
[PS_grey]
(the latter two with most grey-scale figures, for a b/w printer)

10. S. Luzzatto, P. Pilarczyk,
Finite resolution dynamics,
*Found. Comput. Math.*,
Vol. 11, No. 2 (2011), 211-239.

DOI: 10.1007/s10208-010-9083-z.

[*Foundations of Computational Mathematics*
is indexed in ISI, ISSN 1615-3375,
Impact Factor (2011): 3.615,
MathSciNet MCQ (2011): 1.74.]

[PDF]
[PS]

9. P. Pilarczyk,
Parallelization method for a continuous property,
*Found. Comput. Math.*,
Vol. 10, No. 1 (2010), 93-114.

DOI: 10.1007/s10208-009-9050-8.

[*Foundations of Computational Mathematics*
is indexed in ISI, ISSN 1615-3375,
Impact Factor (2010): 2.412,
MathSciNet MCQ (2010): 1.41.]

[PDF]
[PS]

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.

DOI: 10.1137/080734935.

[*SIAM Journal on Applied
Dynamical Systems (SIADS)*
is indexed in ISI, ISSN 1536-0040,
Impact Factor (2009): 1.786,
MathSciNet MCQ (2009): 0.80.]

[PDF]
[PS]

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.

[*Japan Journal of Industrial
and Applied Mathematics (JJIAM)*
is indexed in ISI, ISSN 0916-7005,
Impact Factor (2009): 0.353,
MathSciNet MCQ (2009): 0.13.]

[PDF]
[PS]
[full text (restricted)]

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.

DOI: 10.1088/0951-7715/21/9/002.

[*Nonlinearity* is indexed in ISI,
ISSN 0951-7715,
Impact Factor (2008): 1.359,
MathSciNet MCQ (2008): 0.83.]

[PDF]
[PS]

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.

DOI: 10.1016/j.topol.2008.02.003.

[*Topology and its Applications*
is indexed in ISI, ISSN 0166-8641,
Impact Factor (2008): 0.362,
MathSciNet MCQ (2008): 0.40.]

[PDF]
[PS]

4. M. Mrozek, P. Pilarczyk, N. Żelazna,
Homology algorithm based on acyclic subspace,
*Comput. Math. Appl.*,
Vol. 55, No. 11 (2008), 2395-2412.

DOI: 10.1016/j.camwa.2007.08.044.

[*Computers & Mathematics with Applications*
is indexed in ISI, ISSN 0898-1221,
Impact Factor (2008): 0.997,
MathSciNet MCQ (2008): 0.28.]

[PDF]
[PS]

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.

DOI: 10.1109/TVCG.2007.1021.

[*IEEE Transactions on Visualization & Computer
Graphics* is indexed in MEDLINE®/PubMed® & ISI,
ISSN 1077-2626,
Impact Factor (2007): 1.600.]

[PDF]

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.

DOI: 10.1007/s10208-004-0125-2.

[*Foundations of Computational Mathematics*
is indexed in ISI, ISSN 1615-3375,
Impact Factor (2005): 0.880,
MathSciNet MCQ (2005): 1.11.]

[PDF]
[PS]

1. P. Pilarczyk,
Computer assisted method for proving existence of periodic orbits,
*Topol. Methods Nonlinear Anal.*,
Vol. 13, No. 2 (1999), 365-377.

DOI: 10.12775/tmna.1999.019.

[*Topological Methods
in Nonlinear Analysis (TMNA)*
was not yet indexed in ISI in 1999,
ISSN 1230-3429,
Impact Factor (2012): 1.099,
MathSciNet MCQ (2012): 0.57.]

[PDF]
[PS]
[full text (free)]

## Papers in Conference Proceedings Indexed in ISI

5. 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.

DOI: 10.1007/978-3-319-39441-1_13.

[*Lecture Notes in Computer Science*
is a book series indexed in ISI, ISSN 0302-9743.]

[PDF]

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.

DOI: 10.1007/978-3-642-04397-0_23.

[*Lecture Notes in Computer Science*
is a book series indexed in ISI, ISSN 0302-9743.]

[PDF]

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.

DOI: 10.1063/1.3241632.
Permalink: http://link.aip.org/link/?APCPCS/1168/918/1.

[*AIP Conference Proceedings*
is a book series indexed in ISI.]

[PDF]
[PS]

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.

DOI: 10.1109/ICIP.2002.1040114.

[PDF]
[PS]

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.

DOI: 10.1007/978-1-4612-0081-9_5.

[PDF]
[PS]

## Papers in Other Conference Proceedings

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.

[PDF]
[PS]
[full text (free)]

3. M. Gameiro, P. Pilarczyk,
Automatic homology computation with application to pattern classification,
RIMS Kokyuroku Bessatsu B3 (2007), 1-10.

[PDF]

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.

[PDF]
[PS]

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.

[PDF]
[PS]

## Papers in National and Local Periodicals

2. Y. Hiraoka, P. Pilarczyk,
Introduction to CHomP,
*Bulletin of the Japan SIAM*,
Vol. 18 (2008), pp. 48-55 (in Japanese).

[PDF]

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).

[PDF]

## Open Research Data with a DOI

2. P. Pilarczyk,
Stochastic intervals for the family of quadratic maps,
Gdańsk University of Technology, 2020.

DOI: 10.34808/szfn-gv40

1. P. Pilarczyk,
A collection of directed graphs for the minimum cycle mean weight computation,
Gdańsk University of Technology, 2020.

DOI: 10.34808/55ns-an76