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dr hab. Paweł Pilarczyk
Employment
- Associate professor at Instytut Matematyki Stosowanej
- 2018 - present at Faculty of Applied Physics and Mathematics
Publications
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total: 32
Catalog Publications
Year 1999
Year 2000
Year 2002
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Analysis of blood vessel topology by cubical homology
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The Conley Index and Rigorous Numerics for Attracting Periodic Orbits
Publication
Year 2005
Year 2007
Year 2008
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Excision-preserving cubical approach to the algorithmic computation of the discrete Conley index
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Homology algorithm based on acyclic subspace
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Quantitative hyperbolicity estimates in one-dimensional dynamics
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Year 2009
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A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems
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Decomposing Cavities in Digital Volumes into Products of Cycles
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Recent development in rigorous computational methods in dynamical systems
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Year 2010
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Parallelization Method for a Continuous Property
Publication
Year 2011
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Finite Resolution Dynamics
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Year 2012
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A dynamical model for plasma confinement transitions
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Combinatorial-topological framework for the analysis of global dynamics
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Global dynamics in a stage-structured discrete-time population model with harvesting
Publication
Year 2014
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Shadowing is generic---a continuous map case
Publication
Year 2015
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An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds
PublicationFor a given self-map f of M, a closed smooth connected and simply-connected manifold of dimension m 4, we provide an algorithm for estimating the values of the topological invariant D^m_r [f], which equals the minimal number of r-periodic points in the smooth homotopy class of f. Our results are based on the combinatorial scheme for computing D^m_r [f] introduced by G. Graff and J. Jezierski [J. Fixed Point Theory Appl. 13 (2013),...
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Computation of cubical homology, cohomology, and (co)homological operations via chain contraction
Publication
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