All Stories

  1. Rigorous numerics for critical orbits in the quadratic family

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, July 2020, American Institute of Physics

    PhD Comlan Edmond Koudjinan, Paweł Pilarczyk

  2. A space-efficient algorithm for computing the minimum cycle mean in a directed graph

    Article • Journal of Mathematics and Computer Science, March 2020, International Scientific Research Publications MY SDN. BHD.

    Paweł Pilarczyk

  3. A study of rigorous ODE integrators for multi-scale set-oriented computations

    Article • Applied Numerical Mathematics, September 2016, Elsevier

    Paweł Pilarczyk

  4. Computation of Cubical Steenrod Squares

    Article • January 2016, Springer Science + Business Media

    Paweł Pilarczyk

  5. Uniform Expansivity Outside a Critical Neighborhood in the Quadratic Family

    Article • Experimental Mathematics, December 2015, Taylor & Francis

    Paweł Pilarczyk

  6. Inducing a map on homology from a correspondence

    Article • Proceedings of the American Mathematical Society, August 2015, American Mathematical Society (AMS)

    Paweł Pilarczyk

  7. An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds

    Article • Topological Methods in Nonlinear Analysis, March 2015, Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University

    Paweł Pilarczyk

  8. Rich Bifurcation Structure in a Two-Patch Vaccination Model

    Article • SIAM Journal on Applied Dynamical Systems, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Paweł Pilarczyk

  9. Computation of cubical homology, cohomology, and (co)homological operations via chain contraction

    Article • Advances in Computational Mathematics, April 2014, Springer Science + Business Media

    Paweł Pilarczyk

  10. Combinatorial-topological framework for the analysis of global dynamics

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2012, American Institute of Physics

    Paweł Pilarczyk

  11. A dynamical model for plasma confinement transitions

    Article • Journal of Physics A Mathematical and Theoretical, March 2012, Institute of Physics Publishing

    Paweł Pilarczyk

  12. Global dynamics in a stage-structured discrete-time population model with harvesting

    Article • Journal of Theoretical Biology, March 2012, Elsevier

    Paweł Pilarczyk

  13. Finite Resolution Dynamics

    Article • Foundations of Computational Mathematics, January 2011, Springer Science + Business Media

    Paweł Pilarczyk

  14. Recent development in rigorous computational methods in dynamical systems

    Article • Japan Journal of Industrial and Applied Mathematics, October 2009, Springer Science + Business Media

    Paweł Pilarczyk

  15. Parallelization Method for a Continuous Property

    Article • Foundations of Computational Mathematics, July 2009, Springer Science + Business Media

    Paweł Pilarczyk

  16. A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems

    Article • SIAM Journal on Applied Dynamical Systems, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Paweł Pilarczyk

  17. A Database Schema for the Analysis of Global Dynamics

    Article • January 2009, American Institute of Physics

    Paweł Pilarczyk

  18. Decomposing Cavities in Digital Volumes into Products of Cycles

    Article • January 2009, Springer Science + Business Media

    Paweł Pilarczyk

  19. Quantitative hyperbolicity estimates in one-dimensional dynamics

    Article • Nonlinearity, July 2008, Institute of Physics Publishing

    Paweł Pilarczyk

  20. Homology algorithm based on acyclic subspace

    Article • Computers & Mathematics with Applications, June 2008, Elsevier

    Paweł Pilarczyk

  21. Excision-preserving cubical approach to the algorithmic computation of the discrete Conley index

    Article • Topology and its Applications, May 2008, Elsevier

    Paweł Pilarczyk

  22. Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition

    Article • IEEE Transactions on Visualization and Computer Graphics, July 2007, Institute of Electrical & Electronics Engineers (IEEE)

    Paweł Pilarczyk

  23. Graph Approach to the Computation of the Homology of Continuous Maps

    Article • Foundations of Computational Mathematics, April 2005, Springer Science + Business Media

    Paweł Pilarczyk

  24. The Conley Index and Rigorous Numerics for Attracting Periodic Orbits

    Article • January 2002, Springer Science + Business Media

    Paweł Pilarczyk

  25. Computer Assisted Proof of the Existence of a Periodic Orbit in the Rössler Equations

    Article • September 2000, World Scientific Pub Co Pte Lt

    Paweł Pilarczyk

  26. Computer assisted method for proving existence of periodic orbits

    Article • Topological Methods in Nonlinear Analysis, June 1999, Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University

    Paweł Pilarczyk

  27. Analysis of blood vessel topology by cubical homology

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Paweł Pilarczyk