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 alphabetical order.

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.

Papers in International Scientific Periodicals

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

[Topological Methods in Nonlinear Analysis is indexed in ISI, ISSN 1230-3429, Impact Factor (2007): 0.500.]

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.

[Foundations of Computational Mathematics is indexed in ISI, ISSN 1615-3375, Impact Factor (2007): 1.833.]

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.

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

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.

[Computers and Mathematics with Applications is indexed in ISI, ISSN 0898-1221, Impact Factor (2007): 0.720.]

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. DOI: 10.1016/j.topol.2008.02.003.

[Topology and its Applications is indexed in ISI, ISSN 0166-8641, Impact Factor (2007): 0.480.]

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.

[Nonlinearity is indexed in ISI, ISSN 0951-7715, Impact Factor (2007): 1.339.]

7. Z. Arai, H. Kokubu, P. Pilarczyk, Recent development in rigorous computational methods in dynamical systems, Japan Journal of Industrial and Applied Mathematics (JJIAM), accepted.

[Japan Journal of Industrial and Applied Mathematics is indexed in ISI, ISSN 0916-7005, Impact Factor (2007): 0.302.]

8. P. Pilarczyk, Parallelization method for a continuous property, Foundations of Computational Mathematics, submitted.

[Foundations of Computational Mathematics is indexed in ISI, ISSN 1615-3375, Impact Factor (2007): 1.833.]

9. Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk, Databases for the global dynamics of multi-parameter systems, SIAM Journal on Applied Dynamical Systems (SIADS), submitted.

[SIAM Journal on Applied Dynamical Systems is indexed in ISI, ISSN 1536-0040, Impact Factor (2007): 1.473.]

Papers in Conference Proceedings

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.

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.

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.

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.

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

Papers in National and Local Periodicals

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 (in Japanese, translated by Yasuaki Hiraoka).

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

Papers in Preparation

1. S. Luzzatto, P. Pilarczyk, Finite resolution dynamics.

2. P. Pilarczyk, Algorithmic homology computation over a Euclidean domain.

3. P. Pilarczyk, A concurrent algorithm for the construction of Conley index pairs.

4. P. Pilarczyk, The Conley index and rigorous numerics for hyperbolic periodic trajectories in ODEs.