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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. Papers in International Peer-Refereed Scientific Periodicals11. E. Liz, P. Pilarczyk,
Global dynamics in a stage-structured
discrete-time population model with harvesting,
Journal of Theoretical Biology,
Vol. 297 (2012), 148-165.
10. S. Luzzatto, P. Pilarczyk,
Finite resolution dynamics,
Foundations of Computational Mathematics,
Vol. 11, No. 2 (2011), 211-239.
9. P. Pilarczyk,
Parallelization method for a continuous property,
Foundations of Computational Mathematics,
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 Journal
on Applied Dynamical Systems (SIADS) (2009), Vol. 8, No. 3, 757-789.
7. Z. Arai, H. Kokubu, P. Pilarczyk,
Recent development in rigorous computational methods
in dynamical systems,
Japan Journal of Industrial and Applied Mathematics
(JJIAM) (2009), Vol. 26, No. 2/3, 393-417.
6. S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk,
Quantitative hyperbolicity estimates in one-dimensional dynamics,
Nonlinearity
(2008), Vol. 21, No. 9, 1967-1987.
5. P. Pilarczyk, K. Stolot, Excision-preserving cubical approach
to the algorithmic computation of the discrete Conley index,
Topology and its Applications (2008),
Vol. 155, No. 10, 1149-1162.
4. M. Mrozek, P. Pilarczyk, N. Żelazna, Homology Algorithm
Based on Acyclic Subspace,
Computers and Mathematics with Applications (2008),
Vol. 55, No. 11, 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 (2007), Vol. 13, No. 4, 769-785.
2. K. Mischaikow, M. Mrozek, P. Pilarczyk, Graph approach
to the computation of the homology of continuous maps,
Foundations of Computational Mathematics (2005),
Vol. 5, No. 2, 199-229.
1. P. Pilarczyk, Computer assisted method for proving existence
of periodic orbits,
TMNA (1999),
Vol. 13, No. 2, 365-377.
Papers in Conference Proceedings8. P. Pilarczyk, Set-oriented numerical analysis
of difference equations with parameters,
In 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.
7. A. Berciano, H. Molina-Abril, A. Pacheco, P. Pilarczyk, P. Real,
Decomposing cavities in digital volumes
into products of cycles, Proceedings of the 15th
IAPR International Conference on Discrete Geometry for Computer Imagery
(DGCI 2009), LNCS (2009) Vol. 5810, pp. 263-274.
6. 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.
5. M. Gameiro, P. Pilarczyk, Automatic homology computation
with application to pattern classification,
RIMS Kokyuroku Bessatsu B3 (2007), 1-10.
4. 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.
3. 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, 2002.
2. 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), 65-74,
Progr. Nonlinear Differential Equations Appl., 49,
Birkhäuser Boston, Boston, MA, 2002.
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), 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). |